+ µ 2 ) H (m 2 H 2

Size: px
Start display at page:

Download "+ µ 2 ) H (m 2 H 2"

Transcription

1 I. THE HIGGS POTENTIAL AND THE LIGHT HIGGS BOSON In the previous chapter, it was demonstrated that a negative mass squared in the Higgs potential is generated radiatively for a large range of boundary conditions. We are now in position to write and minimize the Higgs potential and examine the mass eigenvalues and eigenstates and their characteristics. A. Minimization of the Higgs potential In principle, it is far from clear that the Higgs bosons, rather than some sfermion, receive VEVs. Aside from the sneutrino, whose VEV only breaks lepton number, leading to the generation of neutrino masses, all other sfermions cannot have non-vanishing expectation values, or else QED and possibly QCD would be spontaneously broken. Furthermore, there could be some direction in this many-scalar-field space, in which the complete scalar potential (involving Higgs and sfermion fields) is not bounded from below. These considerations lead to constraints on the parameter space, for example A f /m f < 3 6. For the purpose of this chapter, we simply assume that these constraints are satisfied, and we focus on the Higgs potential. The Higgs part of the MSSM scalar potential is given by V (H 1, H 2 ) = (m 2 H 1 + µ 2 ) H (m 2 H 2 + µ 2 ) H 2 2 b(h 1 H 2 + h.c.) + g2 + g 2 ( H 2 2 H 1 2 ) 2 + V. (1) 8 The terms proportional to µ 2 are supersymmetric; they come from the F-terms. The quartic terms are given by the SU(2) L and U(1) Y D-terms. The terms proportional to m 2 H 1, m 2 H 2, b are the soft mass parameters (normalized down to the weak scale). The one loop correction, V = V one loop (which, in fact, is a threshold correction to the one-loop improved tree-level potential) can be absorbed to a good approximation in redefinitions of the tree level parameters. The only term in the scalar potential that depends on the phases of the fields is the b-term. Therefore, a redefinition of the phase of H 1 or H 2 can absorb any phase in b, so we can take b to be real and positive. Then it is clear that a minimum of the potential V requires that H1 0H0 2 is also real and positive, so that H0 1 and H0 2 must have opposite 1

2 phases. We can therefore use a U(1) Y gauge transformation to make them both real and positive without loss of generality, since H 1 and H 2 have opposite hypercharges (±1/2). It follows that CP cannot be spontaneously broken by the Higgs scalar potential, since the VEVs and b can be simultaneously chosen real, as a convention. This means that the Higgs scalar mass eigenstates can be assigned well-defined eigenvalues of CP, at least at tree level. CP violating phases in other couplings can induced loop-suppressed CP violation in the Higgs sector, but do not change the fact that b, H1 0 and H0 2 can always be chosen real and positive. In order for the MSSM scalar potential to be viable, we must first make sure that it is bounded from below for arbitrarily large values of the scalar fields, so that V will really have a minimum. (Scalar potentials in supersymmetric theories are automatically non-negative and so clearly bounded from below. But now, that we have introduced supersymmetry breaking, we must be careful.) The scalar quartic interactions in V stabilize the vacuum for almost all arbitrarily large values of H 0 1 and H 0 2. However, for the special directions in field space H 0 1 = H 0 2, the quartic contributions to V are identically zero. Such directions in field space are called D-flat directions, because along them the part of the scalar potential coming from the D-terms vanishes. In order for the potential to be bounded from below, we need the quadratic part of the scalar potential to be positive along the D-flat directions. This requirement amounts to m 2 H 1 + m 2 H µ 2 2b. (2) A broken SU(2) U(1) requires (m 2 H 1 + µ 2 )(m 2 H 2 + µ 2 ) b 2. (3) If this inequality is not satisfied, then H1 0 = H0 2 = 0 will be a stable minimum of the potential (or there will be no stable minimum at all). Given m 2 H 1 > 0, Eq. (3) is automatically satisfied for m 2 H 2 + µ 2 < 0. This is the situation discussed in the previous chapter. Having established the conditions necessary for H2 0 and H0 1 to get non-zero VEVs, we can now require that they are compatible with the observed phenomenology of electroweak symmetry breaking. Let us write v 2 = Hu, 0 v 1 = Hd. 0 (4) 2

3 These VEVs are related to the known masses of the Z 0 boson and the electroweak gauge couplings: v1 2 + v2 2 = v 2 = 2m 2 Z/(g 2 + g 2 ) (174 GeV) 2. (5) The ratio of the VEVs is traditionally written as tanβ v 2 /v 1. (6) The value of tanβ is not fixed by present experiments, but it depends on the Lagrangian parameters of the MSSM in a calculable way. Since v 1 = v sin β and v 2 = v cos β were taken to be real and positive by convention, we have 0 < β < π/2, a requirement that will be sharpened below. The minimization conditions read m 2 H 2 + µ 2 b cot β (m 2 Z /2) cos 2β = 0, m 2 H 1 + µ 2 b tan β + (m 2 Z/2) cos 2β = 0. (7) These equations allow us ro eliminate two of the Lagrangian parameters b and µ in flavor of tan β, but do not determine the phase of µ: µ 2 = m2 H 1 m 2 H 2 tan 2 β tan 2 β 1 m2 Z 2, (8) b = 1 2 sin 2β ( m 2 H 1 + m 2 H µ 2). (9) Conversely, taking µ 2, b, m 2 H 1 amd m 2 H 2 as input parameters, one can obtain β and m 2 Z as output parameters: sin 2β = 2b m 2 H 1 + m 2 H µ 2, m 2 Z = m2 H 2 m 2 H 1 cos 2β m 2 H 1 m 2 H 2 2 µ 2. (10) By writing Eq. (8) we subscribe to the convenient notion that µ is determined by the precisely known value m Z = GeV. This is mere convenience. Renormalization cannot mix the supersymmetric µ parameter (which is protected by non-renormalization theorems which apply to the superpotential, dµ/d lnq µ) and the SSB parameters. Hence, the independent µ can be treated as a purely low-energy parameter. Nevertheless, it highlights the µ-problem: Why is a supersymmetric mass parameter exactly of the order of the SSB 3

4 parameters (rather than M U, for example). We touched upon this point in the context of supersymmetric GUTs and the doublet-triplet splitting, but it is a much more general puzzle whose solution must encode some information on the ultraviolet theory that explains this relation. The above form of Eq. (8) also highlights the fine-tuning issue whose rough measure is the ratio µ/m Z. Typically, m 2 H 2 is a relatively large parameter, controlled by the stop renormalization, which itself is controlled by QCD and gluino loops. One often finds that a phenomenologically acceptable value of µ is µ(m Z ) M 3 (m Z ) and that m Z is then determined by a cancellation between two O(TeV ) parameters, e.g. m 2 Z = 2(m 2 H 2 + µ 2 ) in the large tanβ limit. Clearly, this is a product of our decision to fix m Z rather than extract it. All it tells us is that m Z is a special rather than arbitrary (generic) value. The fine tuning problem is instead in the relation µ M 3 which is difficult to understand. B. The Higgs spectrum and its symmetries Without taking into account electroweak symmetry breaking, the Higgs mass matrix is MH 2 = m2 H 1 + µ 2 b. (11) b m 2 H 2 + µ 2 The CP-even and charged Higgs receive also contributions from the D-terms or, equivalently, from the quartic terms. But for the pseudoscalar (that is, CP-odd) Higgs fields, one can use (11) directly. Using the minimization equations, the pseudoscalar mass-squared matrix reads MPS 2 = b tanβ 1. (12) 1 cot β The determinant vanishes due to the massless Goldstone boson. It has a positive masssquared eigenvalue, m 2 A = Tr(M 2 PS) = 2b sin 2β = m2 1 + m 2 2, (13) where m 2 i m2 H i +µ 2 for i = 1, 2. The angle β is, in this context, the rotation angle between the interaction and mass eigenstates: 2Im(H 0 u ) = cosβa 0 + sin βg 0, 2Im(H 0 d ) = sin βa 0 cosβg 0, (14) 4

5 where G 0 is the would-be Goldstone boson eaten by the Z 0. The charged Higgs mass is given by m 2 H ± = m2 A + m 2 W. (15) Again, β is here the rotation angle between interaction and mass bases: H + u = cosβh+ + sin βg +, H d = sin βa cosβg, (16) where G ± are the would-be Goldstone bosons eaten by the W ±. The CP-even Higgs treelevel mass-squared matrix is MH 2 = 0 m2 A It gives the following eigenvalues: s2 β s β c β s β c β c 2 β + m 2 Z c2 β s β c β s β c β s 2 β. (17) m 2(tree) h 0,H = 1 ] [m 2A m2z (m 2 A + m2 Z )2 4m 2 A m2 Z cos2 2β. (18) Note that, at tree level, there is a sum rule for the neutral Higgs mass eigenvalues: m 2 H 0 + m2 h 0 = m2 A + m2 Z. (19) There are two particularly interesting limits to Eq. (19). In the limit tan β 1, one has µ, and the SU(2) U(1) breaking is driven by the b term. In practice, one avoids the divergent limit by taking tanβ > 1.1, as is also required by the perturbativity of the top-yukawa coupling and by the experimental lower bound on the Higgs mass (discussed in the next section). For tanβ, one has b 0, so that the symmetry breaking is driven by m 2 H 2 < 0. The tan β 1 case corresponds to an approximate SU(2) L+R custodial symmetry of the vacuum: Turning off hypercharge and flavor mixing, and taking y t = y b = y, one can rewrite the t and b Yukawa terms in an SU(2) L SU(2) R invariant form, y t L b L a ǫ ab H0 1 H 2 + H1 H2 0 bc bc L t c L c, (20) where in the SM H 2 = iσ 2 H 1. For v 1 = v 2 (as in the SM or in the tan β 1 limit), the symmetry is spontaneously broken, SU(2) L SU(2) R SU(2) L+R. However, y t y b, and 5

6 the different hypercharges of t c and b c explicitly break the left-right symmetry, and therefore the residual custodial symmetry. In the MSSM, on the other hand, H 1 is distinct from H 2, and if v 1 v 2, SU(2) L SU(2) R U(1) T3L +T 3R. The SU(2) L+R symmetry is preserved if β = π/4 (v 1 = v 2 ) and maximally broken for β = π/2 (v 1 v 2 ). The symmetry is broken at the loop level, so one expects in any case tanβ above unity. As a result of the symmetry, MH 2 = µ2, (21) 1 1 and it has a massless eigenvalue. This is of course a well known result of the tree level formula when taking β π/4. The mass is then determined by the loop corrections, which are well known (to two loops): m 2 h 0 2 h 0 h 2 tm 2 t (see next section). The heavier CP-even Higgs boson mass eigenvalue equals approximately 2 µ. (The loop corrections are less relevant here as typically m 2 H 0 2 H 0.) The custodial symmetry (or the large µ parameter) dictates in this case a degeneracy m A m H 0 m H + 2 µ. (The tree level corrections to that relation are O[(m Z /m A ) 2 ].) In other words, at a scale Λ 2 µ, the heavy Higgs doublet H is decoupled, and the effective field theory below Λ has only one, SM-like, Higgs doublet, which contains a light physical state. This is a special case of the MSSM, in which all other Higgs bosons (and possibly sparticles) decouple. The decoupling limit typically holds for m A > 300 GeV, and is realized more generally. The Higgs sector in the large tanβ limit exhibits an approximate O 4 O 4 symmetry. For b 0, there is no mixing between H 1 and H 2 and the Higgs sector respects the O 4 O 4 symmetry (up to gauge coupling corrections), i.e. invariance under independent rotations of each doublet. The symmetry is broken to O 3 O 3 for v 1 v 2 0 and the six Goldstone bosons are the SM Goldstone bosons, A 0 and H ±. The symmetry is explicitly broken for g 2 0 (so that m H + = m W ), and is not exact even when neglecting gauge couplings (i.e. b 0). Thus, A 0 and H ± are the massive pseudo-goldstone bosons, m 2 H + m 2 W m 2 A = C b 2. However, C = 2/ sin 2β and it can be large, which is a manifestation of the fact that O 4 O 4 O 4 O 3 for v 1 = 0. (The limit b 0 corresponds also to a U(1) PQ symmetry under which the combination H 1 H 2 is charged.) In the case β π/2, one has m (tree) h 0 (assuming m A m Z ). When adding up loop corrections, m h 0 2m Z 130 GeV. m Z 6

7 C. The light Higgs boson Let us examine the lightness of the Higgs boson from a different perspective, and also the one-loop corrections to its mass. Including one-loop corrections, the general upper bound is [ ( m 2 h 0 m2 Z cos2 2β + 3αm4 t m 2 t ln 1 m 2 t ) ] 2 + 4πs 2 c 2 m 2 Z m 4 θt, (22) t where θt = ( m 2 t 1 m 2 t 2 ) sin 2 2θ t 2m 2 t ln m2 t 1 m 2 t 2 + ( m 2 t 1 m 2 t 2 ) 2 ( sin 2 ) 2 [ 2θ t 4m 2 t 2 m2 t 1 + m 2 t 2 m 2 t 1 m 2 t 2 ln m2 t 1 m 2 t 2 Here, m 2 t i are the eigenvalues of the stop mass-squared matrix, θ t is the left-right stop mixing angle, and we neglected other loop contributions. The tree-level mass-squared, m 2(tree) h, and 0 the loop correction, 2 h 0, are bounded by the first and second term on the RHS of Eq. (22), respectively. In the absence of mixing, θ t = 0. For tanβ 1, one has m 2(tree) h 0 hence m 2 h 0 2 h 0. ]. (23) 0, and Clearly, and as we observed before, the tree-level mass vanishes as tanβ 1 (cos 2β 0). In this limit, the D-term (expectation value) vanishes, as well as the tree-level potential which is now quadratic in the fields. It corresponds to a flat direction of the potential, and the massless real-scalar h 0 is its ground state. Now that we have identified the flat direction, it is clear that the upper bound must be proportional to cos 2β, so that h 0, which parameterizes this direction, is massless once the flat direction is realized. The proportionality to m Z is only the manifestation that the quartic couplings are the gauge couplings. Hence, the lightness of the Higgs boson is a model independent statement. The flat direction is always lifted by quantum corrections, the most important of which is given in Eq. (22). These corrections may be viewed as effective quartic couplings that have to be introduced to the effective theory once the stops, t i, are integrated out of the theory at a few hundred GeV or higher scale. These couplings are proportional to the large Yukawa couplings (for example, from integrating out loops induced by (y t th i ) 2 quartic F-terms in the scalar potential). Note that even though one finds in many cases O(100%) corrections to the light Higgs mass (and hence m h 0 m Z m h 0 < 2m Z ) this does not signal the breakdown of perturbation theory. It is only that the tree level mass (approximately) vanishes. Indeed, two-loop corrections are much smaller (and shift m h 0 by typically only a few GeV) and are often negative. 7

8 The above upper bound is modified if and only if the Higgs potential contains terms (aside from the loop corrections) that lift the flat direction. For example, this is the case in the NMSSM, or if the gauge structure is extended by an abelian factor, G SM G SM U(1). However, as long as one requires that all couplings remain perturbative in the ultraviolet, then the additional corrections to the Higgs mass are still modest, leading to m h0 < GeV (including loop corrections). The existence of a model-independent light Higgs boson is therefore a prediction of the framework. It is encouraging to note that it seems to be consistent with current data. The electroweak precision measurements strongly indicate that the SM-like Higgs is light, m h 0 < 200 GeV, where the best fitted values are near 100 GeV. Searches at the LEP experiments bound the SM-like Higgs mass from below, m h GeV. [1] H. E. Haber, R. Hempfling and A. H. Hoang, Z. Phys. C 75, 539 (1997) [arxiv:hep-ph/ ]. [2] G. Degrassi, S. Heinemeyer, W. Hollik, P. Slavich and G. Weiglein, Eur. Phys. J. C 28, 133 (2003) [arxiv:hep-ph/ ]. 8

Introduction to Supersymmetry

Introduction to Supersymmetry Introduction to Supersymmetry I. Antoniadis Albert Einstein Center - ITP Lecture 5 Grand Unification I. Antoniadis (Supersymmetry) 1 / 22 Grand Unification Standard Model: remnant of a larger gauge symmetry

More information

Beyond the MSSM (BMSSM)

Beyond the MSSM (BMSSM) Beyond the MSSM (BMSSM) Nathan Seiberg Strings 2007 SUSY 2012 Based on M. Dine, N.S., and S. Thomas, to appear Assume The LHC (or the Tevatron) will discover some of the particles in the MSSM. These include

More information

Little Higgs Models Theory & Phenomenology

Little Higgs Models Theory & Phenomenology Little Higgs Models Theory Phenomenology Wolfgang Kilian (Karlsruhe) Karlsruhe January 2003 How to make a light Higgs (without SUSY) Minimal models The Littlest Higgs and the Minimal Moose Phenomenology

More information

Hidden two-higgs doublet model

Hidden two-higgs doublet model Hidden two-higgs doublet model C, Uppsala and Lund University SUSY10, Bonn, 2010-08-26 1 Two Higgs doublet models () 2 3 4 Phenomenological consequences 5 Two Higgs doublet models () Work together with

More information

Twin Higgs Theories. Z. Chacko, University of Arizona. H.S Goh & R. Harnik; Y. Nomura, M. Papucci & G. Perez

Twin Higgs Theories. Z. Chacko, University of Arizona. H.S Goh & R. Harnik; Y. Nomura, M. Papucci & G. Perez Twin Higgs Theories Z. Chacko, University of Arizona H.S Goh & R. Harnik; Y. Nomura, M. Papucci & G. Perez Precision electroweak data are in excellent agreement with the Standard Model with a Higgs mass

More information

PHYSICS BEYOND SM AND LHC. (Corfu 2010)

PHYSICS BEYOND SM AND LHC. (Corfu 2010) PHYSICS BEYOND SM AND LHC (Corfu 2010) We all expect physics beyond SM Fantastic success of SM (LEP!) But it has its limits reflected by the following questions: What is the origin of electroweak symmetry

More information

Supersymmetry Breaking

Supersymmetry Breaking Supersymmetry Breaking LHC Search of SUSY: Part II Kai Wang Phenomenology Institute Department of Physics University of Wisconsin Madison Collider Phemonology Gauge Hierarchy and Low Energy SUSY Gauge

More information

How high could SUSY go?

How high could SUSY go? How high could SUSY go? Luc Darmé LPTHE (Paris), UPMC November 24, 2015 Based on works realised in collaboration with K. Benakli, M. Goodsell and P. Slavich (1312.5220, 1508.02534 and 1511.02044) Introduction

More information

Properties of the Higgs Boson, and its interpretation in Supersymmetry

Properties of the Higgs Boson, and its interpretation in Supersymmetry Properties of the Higgs Boson, and its interpretation in Supersymmetry U. Ellwanger, LPT Orsay The quartic Higgs self coupling and Supersymmetry The Next-to-Minimal Supersymmetric Standard Model Higgs

More information

arxiv: v3 [hep-ph] 6 Oct 2014

arxiv: v3 [hep-ph] 6 Oct 2014 Prepared for submission to JHEP HIP-014-09/TH Higgs sector in NMSSM with right-handed neutrinos and spontaneous R-parity violation arxiv:1405.5330v3 [hep-ph] 6 Oct 014 Katri Huitu and Harri Waltari Department

More information

Non-Abelian SU(2) H and Two-Higgs Doublets

Non-Abelian SU(2) H and Two-Higgs Doublets Non-Abelian SU(2) H and Two-Higgs Doublets Technische Universität Dortmund Wei- Chih Huang 25 Sept 2015 Kavli IPMU arxiv:1510.xxxx(?) with Yue-Lin Sming Tsai, Tzu-Chiang Yuan Plea Please do not take any

More information

The Super-little Higgs

The Super-little Higgs The Super-little Higgs Csaba Csaki (Cornell) with Guido Marandella (UC Davis) Yuri Shirman (Los Alamos) Alessandro Strumia (Pisa) hep-ph/0510294, Phys.Rev.D73:035006,2006 Padua University, July 4, 2006

More information

Who is afraid of quadratic divergences? (Hierarchy problem) & Why is the Higgs mass 125 GeV? (Stability of Higgs potential)

Who is afraid of quadratic divergences? (Hierarchy problem) & Why is the Higgs mass 125 GeV? (Stability of Higgs potential) Who is afraid of quadratic divergences? (Hierarchy problem) & Why is the Higgs mass 125 GeV? (Stability of Higgs potential) Satoshi Iso (KEK, Sokendai) Based on collaborations with H.Aoki (Saga) arxiv:1201.0857

More information

Models of Neutrino Masses

Models of Neutrino Masses Models of Neutrino Masses Fernando Romero López 13.05.2016 1 Introduction and Motivation 3 2 Dirac and Majorana Spinors 4 3 SU(2) L U(1) Y Extensions 11 4 Neutrino masses in R-Parity Violating Supersymmetry

More information

The mass of the Higgs boson

The mass of the Higgs boson The mass of the Higgs boson LHC : Higgs particle observation CMS 2011/12 ATLAS 2011/12 a prediction Higgs boson found standard model Higgs boson T.Plehn, M.Rauch Spontaneous symmetry breaking confirmed

More information

Triplet Higgs Scenarios

Triplet Higgs Scenarios Triplet Higgs Scenarios Jack Gunion U.C. Davis Grenoble Higgs Workshop, March 2, 203 Higgs-like LHC Signal Fits with MVA CMS suggest we are heading towards the SM, but it could simply be a decoupling limit

More information

Symmetries of the Two-Higgs Doublet Model (2HDM) Eddie Santos Final Presentation, Physics 251 6/8/11

Symmetries of the Two-Higgs Doublet Model (2HDM) Eddie Santos Final Presentation, Physics 251 6/8/11 Symmetries of the Two-Higgs Doublet Model (2HDM) Eddie Santos Final Presentation, Physics 251 6/8/11 Outline Introduction to Higgs & Motivations for an Extended Higgs Sector Two-Higgs Doublet Model (2HDM)

More information

The Higgs discovery - a portal to new physics

The Higgs discovery - a portal to new physics The Higgs discovery - a portal to new physics Department of astronomy and theoretical physics, 2012-10-17 1 / 1 The Higgs discovery 2 / 1 July 4th 2012 - a historic day in many ways... 3 / 1 July 4th 2012

More information

A model of the basic interactions between elementary particles is defined by the following three ingredients:

A model of the basic interactions between elementary particles is defined by the following three ingredients: I. THE STANDARD MODEL A model of the basic interactions between elementary particles is defined by the following three ingredients:. The symmetries of the Lagrangian; 2. The representations of fermions

More information

The bestest little Higgs

The bestest little Higgs The bestest little Higgs The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation As Published Publisher Schmaltz, Martin, Daniel

More information

Higgs Signals and Implications for MSSM

Higgs Signals and Implications for MSSM Higgs Signals and Implications for MSSM Shaaban Khalil Center for Theoretical Physics Zewail City of Science and Technology SM Higgs at the LHC In the SM there is a single neutral Higgs boson, a weak isospin

More information

Lecture 18 - Beyond the Standard Model

Lecture 18 - Beyond the Standard Model Lecture 18 - Beyond the Standard Model Why is the Standard Model incomplete? Grand Unification Baryon and Lepton Number Violation More Higgs Bosons? Supersymmetry (SUSY) Experimental signatures for SUSY

More information

Introduction to SUSY. Giacomo Polesello. INFN, Sezione di Pavia

Introduction to SUSY. Giacomo Polesello. INFN, Sezione di Pavia . Introduction to SUSY Giacomo Polesello INFN, Sezione di Pavia Why physics beyond the Standard Model? Gravity is not yet incorporated in the Standard Model Hierarchy/Naturalness problem Standard Model

More information

arxiv:hep-ph/ v2 31 Aug 2004

arxiv:hep-ph/ v2 31 Aug 2004 Higgs coupling constants as a probe of new physics February, 008 Shinya Kanemura a, 1, Yasuhiro Okada b,c,, Eibun Senaha b,c, 3 and C.-P. Yuan d, 4 a Department of Physics, Osaka University, Toyonaka,

More information

Solutions to gauge hierarchy problem. SS 10, Uli Haisch

Solutions to gauge hierarchy problem. SS 10, Uli Haisch Solutions to gauge hierarchy problem SS 10, Uli Haisch 1 Quantum instability of Higgs mass So far we considered only at RGE of Higgs quartic coupling (dimensionless parameter). Higgs mass has a totally

More information

The Standard Model and Beyond

The Standard Model and Beyond The Standard Model and Beyond Nobuchika Okada Department of Physics and Astronomy The University of Alabama 2011 BCVSPIN ADVANCED STUDY INSTITUTE IN PARTICLE PHYSICS AND COSMOLOGY Huê, Vietnam, 25-30,

More information

arxiv:hep-ph/ v1 6 Feb 2004

arxiv:hep-ph/ v1 6 Feb 2004 arxiv:hep-ph/0402064v1 6 Feb 2004 AN NMSSM WITHOUT DOMAIN WALLS TAO HAN Department of Physics University of Wisconsin Madison, WI 53706 USA E-mail: than@pheno.physics.wisc.edu PAUL LANGACKER Department

More information

Lecture III: Higgs Mechanism

Lecture III: Higgs Mechanism ecture III: Higgs Mechanism Spontaneous Symmetry Breaking The Higgs Mechanism Mass Generation for eptons Quark Masses & Mixing III.1 Symmetry Breaking One example is the infinite ferromagnet the nearest

More information

arxiv: v1 [hep-ph] 31 Jan 2014

arxiv: v1 [hep-ph] 31 Jan 2014 The price of being SM-like in SUSY Tony Gherghetta a,b,1, Benedict von Harling c,, Anibal D. Medina b,3, Michael A. Schmidt b,4 a School of Physics & Astronomy, University of Minnesota, Minneapolis, MN

More information

Beyond the SM: SUSY. Marina Cobal University of Udine

Beyond the SM: SUSY. Marina Cobal University of Udine Beyond the SM: SUSY Marina Cobal University of Udine Why the SM is not enough The gauge hierarchy problem Characteristic energy of the SM: M W ~100 GeV Characteristic energy scale of gravity: M P ~ 10

More information

Electroweak and Higgs Physics

Electroweak and Higgs Physics Electroweak and Higgs Physics Lecture 2 : Higgs Mechanism in the Standard and Supersymmetric Models Alexei Raspereza DESY Summer Student Program Hamburg August 2017 Standard Model (Summary) Building blocks

More information

Buried Higgs Csaba Csáki (Cornell) with Brando Bellazzini (Cornell) Adam Falkowski (Rutgers) Andi Weiler (CERN)

Buried Higgs Csaba Csáki (Cornell) with Brando Bellazzini (Cornell) Adam Falkowski (Rutgers) Andi Weiler (CERN) Buried Higgs Csaba Csáki (Cornell) with Brando Bellazzini (Cornell) Adam Falkowski (Rutgers) Andi Weiler (CERN) Rutgers University, December 8, 2009 Preview Found a SUSY model, where: Weird higgs decays

More information

Complementarity of the CERN LEP collider, the Fermilab Tevatron, and the CERN LHC in the search for a light MSSM Higgs boson

Complementarity of the CERN LEP collider, the Fermilab Tevatron, and the CERN LHC in the search for a light MSSM Higgs boson Complementarity of the CERN LEP collider, the Fermilab Tevatron, and the CERN LHC in the search for a light MSSM Higgs boson M. Carena* Theory Division, CERN, 1211 Geneva 23, Switzerland S. Mrenna Physics

More information

Spontaneous CP violation and Higgs spectra

Spontaneous CP violation and Higgs spectra PROCEEDINGS Spontaneous CP violation and Higgs spectra CERN-TH, CH-111 Geneva 3 E-mail: ulrich.nierste@cern.ch Abstract: A general theorem relating Higgs spectra to spontaneous CP phases is presented.

More information

Supersymmetry, Dark Matter, and Neutrinos

Supersymmetry, Dark Matter, and Neutrinos Supersymmetry, Dark Matter, and Neutrinos The Standard Model and Supersymmetry Dark Matter Neutrino Physics and Astrophysics The Physics of Supersymmetry Gauge Theories Gauge symmetry requires existence

More information

STANDARD MODEL and BEYOND: SUCCESSES and FAILURES of QFT. (Two lectures)

STANDARD MODEL and BEYOND: SUCCESSES and FAILURES of QFT. (Two lectures) STANDARD MODEL and BEYOND: SUCCESSES and FAILURES of QFT (Two lectures) Lecture 1: Mass scales in particle physics - naturalness in QFT Lecture 2: Renormalisable or non-renormalisable effective electroweak

More information

The Higgs Sector of the Next-to-Minimal Supersymmetric Standard Model

The Higgs Sector of the Next-to-Minimal Supersymmetric Standard Model CERN-TH/3-77 DESY 3-66 ITEP-3-5 The Higgs Sector of the Next-to-Minimal Supersymmetric Standard Model D.J. Miller, R. Nevzorov and P.M. Zerwas 3 Theory Division, CERN, CH- Geneva 3, Switzerland ITEP, Moscow,

More information

The SCTM Phase Transition

The SCTM Phase Transition The SCTM Phase Transition ICTP / SAIFR 2015 Mateo García Pepin In collaboration with: Mariano Quirós Motivation The Model The phase transition Summary EW Baryogenesis A mechanism to explain the observed

More information

Natural Electroweak Symmetry Breaking in NMSSM and Higgs at 100 GeV

Natural Electroweak Symmetry Breaking in NMSSM and Higgs at 100 GeV Natural Electroweak Symmetry Breaking in NMSSM and Higgs at 100 GeV Radovan Dermíšek Institute for Advanced Study, Princeton R.D. and J. F. Gunion, hep-ph/0502105 R.D. and J. F. Gunion, hep-ph/0510322

More information

Decoupling and Alignment in Light of the Higgs Data. Howard E. Haber Pi Day, 2014 Bay Area ParCcle Physics Seminar San Francisco State Univ.

Decoupling and Alignment in Light of the Higgs Data. Howard E. Haber Pi Day, 2014 Bay Area ParCcle Physics Seminar San Francisco State Univ. Decoupling and Alignment in Light of the Higgs Data Howard E. Haber Pi Day, 2014 Bay Area ParCcle Physics Seminar San Francisco State Univ. Outline I. IntroducCon Ø Snapshot of the LHC Higgs data Ø SuggesCons

More information

A realistic model of gauge-mediated SUSY-breaking scenario with superconformal hidden sector

A realistic model of gauge-mediated SUSY-breaking scenario with superconformal hidden sector A realistic model of gauge-mediated SUSY-breaking scenario with superconformal hidden sector Masaki Asano (ICRR, Univ. of Tokyo) arxiv:08104601 Collaborator: Junji Hisano (ICRR), Takashi Okada (ICRR),

More information

A Two Higgs Doublet Model for the Top Quark

A Two Higgs Doublet Model for the Top Quark UR 1446 November 1995 A Two Higgs Doublet Model for the Top Quark Ashok Das and Chung Kao 1 Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA Abstract A two Higgs doublet

More information

Gauge-Higgs Unification on Flat Space Revised

Gauge-Higgs Unification on Flat Space Revised Outline Gauge-Higgs Unification on Flat Space Revised Giuliano Panico ISAS-SISSA Trieste, Italy The 14th International Conference on Supersymmetry and the Unification of Fundamental Interactions Irvine,

More information

Pseudo-Dirac Bino as Dark Matter and Signatures of D-Type G

Pseudo-Dirac Bino as Dark Matter and Signatures of D-Type G and Signatures of D-Type Gauge Mediation Ken Hsieh Michigan State Univeristy KH, Ph. D. Thesis (2007) ArXiv:0708.3970 [hep-ph] Other works with M. Luty and Y. Cai (to appear) MSU HEP Seminar November 6,

More information

The Anomalous Magnetic Moment of the Muon in the Minimal Supersymmetric Standard Model for tan β =

The Anomalous Magnetic Moment of the Muon in the Minimal Supersymmetric Standard Model for tan β = The Anomalous Magnetic Moment of the Muon in the Minimal Supersymmetric Standard Model for tan β = Markus Bach Institut für Kern- und Teilchenphysik Technische Universität Dresden IKTP Institute Seminar

More information

the Minimal Supersymmetric Standard Model

the Minimal Supersymmetric Standard Model UCRHEP-T196 Fermilab Pub-97/262-T July 1997 Lower Bound on the Pseudoscalar Mass in arxiv:hep-ph/9707512v2 8 Aug 1997 the Minimal Supersymmetric Standard Model E. Keith 1, Ernest Ma 1, and D. P. Roy 2,3

More information

Particle Spectrum in the Modified Nonminimal Supersymmetric Standard Model in the Strong Yukawa Coupling Regime

Particle Spectrum in the Modified Nonminimal Supersymmetric Standard Model in the Strong Yukawa Coupling Regime Journal of Experimental and Theoretical Physics, Vol. 9, No. 6,, pp. 79 97. Translated from Zhurnal Éksperimental noœ i Teoreticheskoœ Fiziki, Vol. 8, No. 6,, pp. 5 7. Original Russian Text Copyright by

More information

The Higgs Boson and Electroweak Symmetry Breaking

The Higgs Boson and Electroweak Symmetry Breaking The Higgs Boson and Electroweak Symmetry Breaking 1. Minimal Standard Model M. E. Peskin Chiemsee School September 2014 The Higgs boson has an odd position in the Standard Model of particle physics. On

More information

Physics 662. Particle Physics Phenomenology. February 21, Physics 662, lecture 13 1

Physics 662. Particle Physics Phenomenology. February 21, Physics 662, lecture 13 1 Physics 662 Particle Physics Phenomenology February 21, 2002 Physics 662, lecture 13 1 Physics Beyond the Standard Model Supersymmetry Grand Unified Theories: the SU(5) GUT Unification energy and weak

More information

SUSY and Exotics. UK HEP Forum"From the Tevatron to the LHC, Cosener s House, May /05/2009 Steve King, UK HEP Forum '09, Abingdon 1

SUSY and Exotics. UK HEP ForumFrom the Tevatron to the LHC, Cosener s House, May /05/2009 Steve King, UK HEP Forum '09, Abingdon 1 SUSY and Exotics Standard Model and the Origin of Mass Puzzles of Standard Model and Cosmology Bottom-up and top-down motivation Extra dimensions Supersymmetry - MSSM -NMSSM -E 6 SSM and its exotics UK

More information

Split Supersymmetry A Model Building Approach

Split Supersymmetry A Model Building Approach Split Supersymmetry A Model Building Approach Kai Wang Phenomenology Institute Department of Physics the University of Wisconsin Madison UC Riverside HEP Seminar In Collaboration with Ilia Gogoladze (Notre

More information

arxiv: v1 [hep-ph] 8 Oct 2013

arxiv: v1 [hep-ph] 8 Oct 2013 Impersonating the Standard Model Higgs Boson: Alignment without Decoupling Marcela Carena a,b,c, Ian Low d,e,f, Nausheen R. Shah g, and Carlos E. M. Wagner b,c,e a Fermi National Accelerator Laboratory,

More information

Where are we heading?

Where are we heading? Where are we heading? PiTP 2013 Nathan Seiberg IAS Purpose of this talk A brief, broad brush status report of particle physics Where we are How we got here (some historical perspective) What are the problems

More information

Reφ = 1 2. h ff λ. = λ f

Reφ = 1 2. h ff λ. = λ f I. THE FINE-TUNING PROBLEM A. Quadratic divergence We illustrate the problem of the quadratic divergence in the Higgs sector of the SM through an explicit calculation. The example studied is that of the

More information

Fermion Mixing Angles and the Connection to Non-Trivially Broken Flavor Symmetries

Fermion Mixing Angles and the Connection to Non-Trivially Broken Flavor Symmetries Fermion Mixing ngles and the Connection to Non-Trivially Broken Flavor Symmetries C. Hagedorn hagedorn@mpi-hd.mpg.de Max-Planck-Institut für Kernphysik, Heidelberg, Germany. Blum, CH, M. Lindner numerics:.

More information

tan(beta) Enhanced Yukawa Couplings for Supersymmetric Higgs

tan(beta) Enhanced Yukawa Couplings for Supersymmetric Higgs tan(beta) Enhanced Yukawa Couplings for Supersymmetric Higgs Singlets at One-Loop Theoretical Particle Physics University of Manchester 5th October 2006 Based on RNH, A. Pilaftsis hep-ph/0612188 Outline

More information

The Higgs Mechanism and the Higgs Particle

The Higgs Mechanism and the Higgs Particle The Higgs Mechanism and the Higgs Particle Heavy-Ion Seminar... or the Anderson-Higgs-Brout-Englert-Guralnik-Hagen-Kibble Mechanism Philip W. Anderson Peter W. Higgs Tom W. B. Gerald Carl R. François Robert

More information

arxiv:hep-ph/ v1 24 Jun 2003

arxiv:hep-ph/ v1 24 Jun 2003 hep-ph/0306240 FTPI MINN 03/14 UMN TH 2203/04 CERN TH/2003 121 CP Violation in Supersymmetric U1) Models arxiv:hep-ph/0306240v1 24 Jun 2003 Durmuş A. Demir 1 and Lisa L. Everett 2 1 William I. Fine Theoretical

More information

Lecture 03. The Standard Model of Particle Physics. Part III Extensions of the Standard Model

Lecture 03. The Standard Model of Particle Physics. Part III Extensions of the Standard Model Lecture 03 The Standard Model of Particle Physics Part III Extensions of the Standard Model Where the SM Works Excellent description of 3 of the 4 fundamental forces Explains nuclear structure, quark confinement,

More information

Can the Hbb coupling be equal in magnitude to its Standard Model value but opposite in sign? Howard E. Haber July 22, 2014

Can the Hbb coupling be equal in magnitude to its Standard Model value but opposite in sign? Howard E. Haber July 22, 2014 Can the Hbb coupling be equal in magnitude to its Standard Model value but opposite in sign? Howard E. Haber July 22, 2014 Outline I. Higgs physics afer discovery Ø What is the current data telling us?

More information

Universal Extra Dimensions

Universal Extra Dimensions Universal Extra Dimensions Add compact dimension(s) of radius R ~ ant crawling on tube Kaluza-Klein tower of partners to SM particles due to curled-up extra dimensions of radius R n = quantum number for

More information

Introduction to the SM (5)

Introduction to the SM (5) Y. Grossman The SM (5) TES-HEP, July 12, 2015 p. 1 Introduction to the SM (5) Yuval Grossman Cornell Y. Grossman The SM (5) TES-HEP, July 12, 2015 p. 2 Yesterday... Yesterday: Symmetries Today SSB the

More information

Particle spectrum in the modified NMSSM in the strong Yukawa coupling limit

Particle spectrum in the modified NMSSM in the strong Yukawa coupling limit Particle spectrum in the modified NMSSM in the strong Yukawa coupling limit R.B.Nevzorov and M.A.Trusov July 6, 001 Abstract A theoretical analysis of solutions of renormalisation group equations in the

More information

Standard Model & Beyond

Standard Model & Beyond XI SERC School on Experimental High-Energy Physics National Institute of Science Education and Research 13 th November 2017 Standard Model & Beyond Lecture III Sreerup Raychaudhuri TIFR, Mumbai 2 Fermions

More information

Patrick Kirchgaeßer 07. Januar 2016

Patrick Kirchgaeßer 07. Januar 2016 Patrick Kirchgaeßer 07. Januar 2016 INSTITUTE OF EXPERIMENTAL PARTICLE PHYSICS (IEKP) PHYSICS FACULTY KIT Universität des Landes Baden-Württemberg und nationales Forschungszentrum in der Helmholtz-Gemeinschaft

More information

The Standard Model Part. II

The Standard Model Part. II Our Story Thus Far The Standard Model Part. II!!We started with QED (and!)!!we extended this to the Fermi theory of weak interactions! Adding G F!!Today we will extended this to Glashow-Weinberg-Salam

More information

The Constrained E 6 SSM

The Constrained E 6 SSM The Constrained E 6 SSM and its signatures at the LHC Work with Moretti and Nevzorov; Howl; Athron, Miller, Moretti, Nevzorov Related work: Demir, Kane, T.Wang; Langacker, Nelson; Morrissey, Wells; Bourjaily;

More information

Lecture 7 SUSY breaking

Lecture 7 SUSY breaking Lecture 7 SUSY breaking Outline Spontaneous SUSY breaking in the WZ-model. The goldstino. Goldstino couplings. The goldstino theorem. Reading: Terning 5.1, 5.3-5.4. Spontaneous SUSY Breaking Reminder:

More information

Top Seesaw, Custodial Symmetry and the 126 GeV (Composite) Higgs

Top Seesaw, Custodial Symmetry and the 126 GeV (Composite) Higgs Top Seesaw, Custodial Symmetry and the 126 GeV (Composite) Higgs IAS Program on the Future of High Energy Physics Jan 21, 2015 based on arxiv:1311.5928, Hsin-Chia Cheng, Bogdan A. Dobrescu, JG JHEP 1408

More information

S 3 Symmetry as the Origin of CKM Matrix

S 3 Symmetry as the Origin of CKM Matrix S 3 Symmetry as the Origin of CKM Matrix Ujjal Kumar Dey Physical Research Laboratory October 25, 2015 Based on: PRD 89, 095025 and arxiv:1507.06509 Collaborators: D. Das and P. B. Pal 1 / 25 Outline 1

More information

Constraining New Models with Precision Electroweak Data

Constraining New Models with Precision Electroweak Data Constraining New Models with Precision Electroweak Data Tadas Krupovnickas, BNL in collaboration with Mu-Chun Chen and Sally Dawson LoopFest IV, Snowmass, 005 EW Sector of the Standard Model 3 parameters

More information

EW Naturalness in Light of the LHC Data. Maxim Perelstein, Cornell U. ACP Winter Conference, March

EW Naturalness in Light of the LHC Data. Maxim Perelstein, Cornell U. ACP Winter Conference, March EW Naturalness in Light of the LHC Data Maxim Perelstein, Cornell U. ACP Winter Conference, March 3 SM Higgs: Lagrangian and Physical Parameters The SM Higgs potential has two terms two parameters: Higgs

More information

Higgs boson(s) in the NMSSM

Higgs boson(s) in the NMSSM Higgs boson(s) in the NMSSM U. Ellwanger, LPT Orsay Supersymmetry had a bad press recently: No signs for squarks/gluino/charginos/neutralinos... at the LHC Conflict (?) between naturalness and the Higgs

More information

Dynamical Solution to the µ/b µ Problem in Gauge Mediated Supersymmetry Breaking

Dynamical Solution to the µ/b µ Problem in Gauge Mediated Supersymmetry Breaking Dynamical Solution to the µ/b µ Problem in Gauge Mediated Supersymmetry Breaking Carlos E.M. Wagner EFI and KICP, University of Chicago HEP Division, Argonne National Lab. Work done in collaboration with

More information

Neutrino Masses in the MSSM

Neutrino Masses in the MSSM Neutrino Masses in the MSSM Steven Rimmer Supervisor: Dr. Athanasios Dedes Institute of Particle Physics Phenomenology, University of Durham A supersymmetric standard model Find the most general Lagrangian

More information

To Higgs or not to Higgs

To Higgs or not to Higgs To Higgs or not to Higgs vacuum stability and the origin of mass Wolfgang Gregor Hollik DESY Hamburg Theory Group Dec 12 2016 MU Programmtag Mainz The Higgs mechanism and the origin of mass [CERN bulletin]

More information

Higgs Boson Physics, Part II

Higgs Boson Physics, Part II Higgs Boson Physics, Part II Laura Reina TASI 004, Boulder Outline of Part II What do we know about the Standard Model Higgs boson? indirect bounds on M H from the theoretical consistency of the Standard

More information

EDMs from the QCD θ term

EDMs from the QCD θ term ACFI EDM School November 2016 EDMs from the QCD θ term Vincenzo Cirigliano Los Alamos National Laboratory 1 Lecture II outline The QCD θ term Toolbox: chiral symmetries and their breaking Estimate of the

More information

Implications of Dark Matter in Supersymmetric Models

Implications of Dark Matter in Supersymmetric Models HELSINKI INSTITUTE OF PHYSICS INTERNAL REPORT SERIES HIP-2014-04 Implications of Dark Matter in Supersymmetric Models Lasse Leinonen Helsinki Institute of Physics University of Helsinki Finland ACADEMIC

More information

Higgs Boson Phenomenology Lecture I

Higgs Boson Phenomenology Lecture I iggs Boson Phenomenology Lecture I Laura Reina TASI 2011, CU-Boulder, June 2011 Outline of Lecture I Understanding the Electroweak Symmetry Breaking as a first step towards a more fundamental theory of

More information

e + e (ha) bbbb in Abelian Extended Supersymmetric Standard Model

e + e (ha) bbbb in Abelian Extended Supersymmetric Standard Model arxiv:hep-ph/9809355v1 13 Sep 1998 e + e (ha) bbbb in Abelian Extended Supersymmetric Standard Model D. A. Demir, N. K. Pak Middle East Technical University, Department of Physics, 06531 Ankara, Turkey

More information

12.2 Problem Set 2 Solutions

12.2 Problem Set 2 Solutions 78 CHAPTER. PROBLEM SET SOLUTIONS. Problem Set Solutions. I will use a basis m, which ψ C = iγ ψ = Cγ ψ (.47) We can define left (light) handed Majorana fields as, so that ω = ψ L + (ψ L ) C (.48) χ =

More information

Inverse See-saw in Supersymmetry

Inverse See-saw in Supersymmetry Inverse See-saw in Supersymmetry Kai Wang IPMU, the University of Tokyo Cornell Particle Theory Seminar September 15, 2010 hep-ph/10xx.xxxx with Seong-Chan Park See-saw is perhaps the most elegant mechanism

More information

E 6 Spectra at the TeV Scale

E 6 Spectra at the TeV Scale E 6 Spectra at the TeV Scale Instituts-Seminar Kerne und Teilchen, TU Dresden Alexander Knochel Uni Freiburg 24.06.2010 Based on: F. Braam, AK, J. Reuter, arxiv:1001.4074 [hep-ph], JHEP06(2010)013 Outline

More information

Pati-Salam GUT-Flavour Models with Three Higgs Generations

Pati-Salam GUT-Flavour Models with Three Higgs Generations Pati-Salam GUT-Flavour Models with Three Higgs Generations Florian Hartmann in collaboration with Wolfgang Kilian and Karsten Schnitter based on: JHEP 1405 (2014) 064 and arxiv:1405.1901 Universität Siegen

More information

arxiv: v1 [hep-ph] 3 Aug 2016

arxiv: v1 [hep-ph] 3 Aug 2016 ACFI-T-19 The Radiative Z Breaking Twin Higgs arxiv:.131v1 hep-ph 3 Aug Jiang-Hao Yu 1 1 Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts-Amherst, Amherst,

More information

Lecture 4 - Beyond the Standard Model (SUSY)

Lecture 4 - Beyond the Standard Model (SUSY) Lecture 4 - Beyond the Standard Model (SUSY) Christopher S. Hill University of Bristol Warwick Flavour ++ Week April 11-15, 2008 Recall the Hierarchy Problem In order to avoid the significant finetuning

More information

Particle Physics Today, Tomorrow and Beyond. John Ellis

Particle Physics Today, Tomorrow and Beyond. John Ellis Particle Physics Today, Tomorrow and Beyond John Ellis Summary of the Standard Model Particles and SU(3) SU(2) U(1) quantum numbers: Lagrangian: gauge interactions matter fermions Yukawa interactions Higgs

More information

Neutrino Masses SU(3) C U(1) EM, (1.2) φ(1, 2) +1/2. (1.3)

Neutrino Masses SU(3) C U(1) EM, (1.2) φ(1, 2) +1/2. (1.3) Neutrino Masses Contents I. The renormalizable Standard Model 1 II. The non-renormalizable Standard Model III. The See-Saw Mechanism 4 IV. Vacuum Oscillations 5 V. The MSW effect 7 VI. Experimental results

More information

SUSY Phenomenology & Experimental searches

SUSY Phenomenology & Experimental searches SUSY Phenomenology & Experimental searches Slides available at: Alex Tapper http://www.hep.ph.ic.ac.uk/~tapper/lecture.html Objectives - Know what Supersymmetry (SUSY) is - Understand qualitatively the

More information

Exceptional Supersymmetry. at the Large Hadron Collider

Exceptional Supersymmetry. at the Large Hadron Collider Exceptional Supersymmetry at the Large Hadron Collider E 6 SSM model and motivation Contents Why go beyond the Standard Model? Why consider non-minimal SUSY? Exceptional SUSY Structure, particle content

More information

arxiv:hep-ph/ v1 10 Oct 1995

arxiv:hep-ph/ v1 10 Oct 1995 UCL-IPT-95-16 Symmetry breaking induced by top quark loops from a model without scalar mass. arxiv:hep-ph/9510266v1 10 Oct 1995 T. Hambye Institut de Physique Théorique UCL B-1348 Louvain-la-Neuve, Belgium.

More information

New Phenomenology of Littlest Higgs Model with T-parity

New Phenomenology of Littlest Higgs Model with T-parity New Phenomenology of Littlest Higgs Model with T-parity Alexander Belyaev Michigan State University A.B., C.-R. Chen, K. Tobe, C.-P. Yuan hep-ph/0609179 A.B., A. Pukhov, C.-P. Yuan hep-ph/07xxxxx UW-Madison,

More information

SM, EWSB & Higgs. MITP Summer School 2017 Joint Challenges for Cosmology and Colliders. Homework & Exercises

SM, EWSB & Higgs. MITP Summer School 2017 Joint Challenges for Cosmology and Colliders. Homework & Exercises SM, EWSB & Higgs MITP Summer School 017 Joint Challenges for Cosmology and Colliders Homework & Exercises Ch!"ophe Grojean Ch!"ophe Grojean DESY (Hamburg) Humboldt University (Berlin) ( christophe.grojean@desy.de

More information

SUSY Higgs Physics at the LHC.

SUSY Higgs Physics at the LHC. SUSY Higgs Physics at the LHC. D.J. Miller Dresden, 3 rd July 2008 Outline: Introduction: The SM Higgs Sector The minimal SUSY Higgs sector The NMSSM The mnssm A Local Peccei-Quinn Symmetry (and the E

More information

Anomaly and gaugino mediation

Anomaly and gaugino mediation Anomaly and gaugino mediation Supergravity mediation X is in the hidden sector, P l suppressed couplings SUSY breaking VEV W = ( W hid (X) + W vis ) (ψ) f = δj i ci j X X ψ j e V ψ 2 i +... Pl τ = θ Y

More information

Problems for SM/Higgs (I)

Problems for SM/Higgs (I) Problems for SM/Higgs (I) 1 Draw all possible Feynman diagrams (at the lowest level in perturbation theory) for the processes e + e µ + µ, ν e ν e, γγ, ZZ, W + W. Likewise, draw all possible Feynman diagrams

More information

m H tanβ 30 LHC(40fb -1 ): LEP2: e + e Zh m A (GeV)

m H tanβ 30 LHC(40fb -1 ): LEP2: e + e Zh m A (GeV) Charged Higgs Bosons Production in Bottom-Gluon Fusion Tilman Plehn, Madison MSSM Higgs Bosons at the LHC Why Bottom Parton Description? QCD Corrections -QCD Corrections MSSM Higgs Bosons at the LHC MSSM

More information

arxiv:hep-ph/ v1 8 Oct 1999

arxiv:hep-ph/ v1 8 Oct 1999 arxiv:hep-ph/991083v1 8 Oct 1999 Precise Calculations for the Neutral Higgs-Boson Masses in the SM a S. Heinemeyer 1, W. Hollik and G. Weiglein 3 1 DESY Theorie, Notkestr. 85, D 603 Hamburg, Germany Institut

More information

Neutrino Mass Models

Neutrino Mass Models Neutrino Mass Models S Uma Sankar Department of Physics Indian Institute of Technology Bombay Mumbai, India S. Uma Sankar (IITB) IWAAP-17, BARC (Mumbai) 01 December 2017 1 / 15 Neutrino Masses LEP experiments

More information