Neutrino Masses in the MSSM
|
|
- Oscar Hoover
- 6 years ago
- Views:
Transcription
1 Neutrino Masses in the MSSM Steven Rimmer Supervisor: Dr. Athanasios Dedes Institute of Particle Physics Phenomenology, University of Durham
2 A supersymmetric standard model Find the most general Lagrangian which is invariant under Lorentz, SU(3) C SU(2) L U(1) Y and supersymmetry transformations; renormalizable minimal in particle content Neither lepton number (L) nor baryon number (B) are conserved Two options: constrain lagrangian parameters impose a further discrete symmetry when constructing the lagrangian
3 Superpotential The most general superpotential is given by W = Y E LH 1 E + Y D H 1 QD c + Y U QH 2 U c µh 1 H 2
4 Superpotential The most general superpotential is given by W = Y E LH 1 E + Y D H 1 QD c + Y U QH 2 U c µh 1 H λllec + λ LQD c κlh 2
5 Superpotential The most general superpotential is given by W = Y E LH 1 E + Y D H 1 QD c + Y U QH 2 U c µh 1 H λllec + λ LQD c κlh λ U c D c D c Ibanez & Ross (1991) show that there are two preferred discrete symmetries, R-parity and a Z 3 allowing /L. L. E. Ibanez and G. G. Ross, Nucl. Phys. B 368, 3 (1992)
6 R-parity Under R-parity Standard model particles (including scalar Higgs bosons) are even corresonding superpartners are odd If R-parity is imposed when constructing the Lagrangian Terms in the Lagrangian which violate either L or B are excluded The lightest supersymmetric particle (LSP) is stable Sneutrino fields do not acquire a non-zero vacuum expectation values; R-parity is not violated spontaneously
7 R-parity conserving minimal supersymmetric standard model (Rpc-MSSM) Neutral scalar particle content neutral, complex scalar components of two higgs chiral supermultiplets, h 0 2 and h 0 1 neutral, complex scalar components of lepton supermultiplets, ν Li If R P conservation is imposed on the Lagrangian there are no bilinear terms which cause mixing between fields with different R P. No mixing between Higgs bosons and sneutrinos.
8 The neutral scalars decouple into CP-even and CP-odd real scalar eigenstates The Higgs bosons {h 0 2, h 0 1} {h 0, H 0, A 0, G 0 } and the sneutrinos ν Li { ν + i, ν i } The scalar potential can be minismised to obtain values for the vacuum expectation values (vevs) of h 0 2 and h 0 1.
9 L violating minimal supersymmetric standard model (/L-MSSM) Without imposing the conservation of L on the Lagrangian, bilinear terms exist between (and hence, mixing occurs between) charged gauginos, charged higgsinos and charged leptons neutral gauginos, neutral higgsinos and neutrinos Higgs bosons, sneutrinos... giving rise to some attractive features. B. C. Allanach, A. Dedes and H. K. Dreiner, Phys. Rev. D 69, (2004)
10 Neutrino Masses The mixing between neutrinos and neutral gauginos/higgsinos produces one tree-level, see-saw suppressed, neutrino mass. where m tree ν m tree ν = v 2 d ( M1 g2 2 + M 2 g 2) ( κ1 2 + κ 4Det[M χ 0] κ 3 2)
11 The neutral scalar bosons all mix In general {h 0 2, h 0 1, ν Li } {h 0, H 0, A 0, G 0, ν + i, ν i } mixing matrix of real, scalar fields. Solve minimisation conditions to find 5 complex vevs. Not clear which phases can be rotated away and which are physical; explicit CP-violation? Not clear if vevs are real; spontaneous CP-violation?
12 Vanishing sneutrino vev basis Notice that if R P is not imposed, h 0 1 and ν Li carry the same quantum numbers, even before symmetry breaking. Define ν Lα = (h 0 1, ν Li ) µ α = (µ, κ i ) Solving the minimisation conditions defines a direction in this (h 0 1, ν Li ) space. In the interaction basis, we are free to define any direction in (h 0 1, ν Li ) to be the Higgs. Had the basis been rotated such that the Higgs points in this direction, a basis would have been chosen such that the sneutrino vevs are zero. A. Dedes, SR, J. Rosiek and M. Schmidt-Sommerfeld, Phys. Lett. B 627 (2005) 161
13 We have studied the scalar and fermion sector without making any assumptions concerning the CP or family structure of the theory, finding a basis suitable for calculation. A method for initialising parameters has been found, such that the correct values are generated for lepton/quark masses and CKM/PMNS matrices. FORTRAN code has been developed to produce the tree-level mass spectrum, mixing matrices and Feynman rules. The renormalisation of the theory has been studied, one-loop corrections to the neutralino-neutrino masses have been derived and implemented within the code. A. Dedes, SR, J. Rosiek and M. Schmidt-Sommerfeld, Phys. Lett. B 627 (2005) 161 A. Dedes, SR and J. Rosiek, in preparation
14 Vertex µ κ q W κ 0 p { ie ZN(4+α)p Z (2+α)q + ie } Z 2sW s N2pZ 1q γ µ P L W
15 Loop Diagrams H 0 s Z µ κ 0 q κ 0 p κ 0 q κ 0 p κ 0 r κ 0 r Other loops: Neutralino/CP-odd Higgs Chargino/charged Higgs Quark/squark Chargino/W-boson
16 Summary Our aim is to study the phenomenology of the most general /L-MSSM The full set of Feynman rules have been derived The one-loop corrections to the neutrino masses have been calculated This is interesting to compare limits on λ/λ with Tevatron/B-factory analyses Can now go on to study other processes connected with neutrino masses; neutrinoless double beta decay, lepton flavour violating events such as τ decays,... A. Dedes, SR and J. Rosiek, in preparation
17 Blank A. Dedes, SR and J. Rosiek, in preparation
18 Blank A. Dedes, SR and J. Rosiek, in preparation
19 Blank A. Dedes, SR and J. Rosiek, in preparation
20 Blank A. Dedes, SR and J. Rosiek, in preparation
21 Neutrino-neutralino mass matrix L 1 2 ( i B 0 i W 0 h 0 2 h 0 1 ν i ) M N i B 0 i W 0 h 0 2 h 0 1 ν i
22 Neutrino-neutralino mass matrix L 1 2 ( i B 0 i W 0 h 0 2 h 0 1 ν i ) M N i B 0 i W 0 h 0 2 h 0 1 ν i M N = M 1 0 gv u / 2 gv d / 2 gv j / 2 0 M 2 g 2 v u / 2 g 2 v d / 2 g 2 v j / 2 gv u / 2 g 2 v u / 2 0 µ κ j gv d / 2 g 2 v d / 2 µ 0 0 j gv i / 2 g 2 v i / 2 κ i 0 i 0 ij h 0 2 = v u h 0 1 = v d ν Li = v i
23 M N = M 1 0 gv u / 2 gv d / 2 gv j / 2 0 M 2 g 2 v u / 2 g 2 v d / 2 g 2 v j / 2 gv u / 2 g 2 v u / 2 0 µ κ j gv d / 2 g 2 v d / 2 µ 0 0 j gv i / 2 g 2 v i / 2 κ i 0 i 0 ij A. S. Joshipura and M. Nowakowski, Phys. Rev. D 51, 2421 (1995) M. Nowakowski and A. Pilaftsis, Nucl. Phys. B 461, 19 (1996)
24 M N = M 1 0 gv u / 2 gv d / 2 gv j / 2 0 M 2 g 2 v u / 2 g 2 v d / 2 g 2 v j / 2 gv u / 2 g 2 v u / 2 0 µ κ j gv d / 2 g 2 v d / 2 µ 0 0 j gv i / 2 g 2 v i / 2 κ i 0 i 0 ij M N = ( M χ 4 4 m 4 3 m T ) Suggestive of the seesaw mechanism xxxm N M N xxxx 4 eigenvalues M χ 3 eigenvalues mmt M χ
25 M N = M 1 0 gv u / 2 gv d / 2 gv j / 2 0 M 2 g 2 v u / 2 g 2 v d / 2 g 2 v j / 2 gv u / 2 g 2 v u / 2 0 µ κ j gv d / 2 g 2 v d / 2 µ 0 0 j gv i / 2 g 2 v i / 2 κ i 0 i 0 ij M N = ( ) N4 3 n 4 4 n The mass 2 given by eigenvalues of M N M N xxxxxxxxxxxxxxx M χ xxx xxxxxxxxxxxxxxxx mmt M χ xx
26 n = gv d / 2 gv 1 / 2 gv 2 / 2 gv 3 / 2 g 2 v d / 2 g 2 v 1 / 2 g 2 v 2 / 2 g 2 v 3 / 2 µ κ 1 κ 2 κ n has 3 linearly dependant rows, giving two zero eigenvalues with corresponding eigenvectors e 1,2 M N q i = ( N4 3 n 4 4 n ) e i. =.. λ i e i q 1,2 are zero eigenvectors of the full matrix.
27 The neutral scalar bosons all mix In general {h 0 2, h 0 1, ν Li } {h 0, H 0, A 0, G 0, ν + i, ν i } mixing matrix of real, scalar fields. Solve minimisation conditions to find 5 complex vevs. Not clear which phases can be rotated away and which are physical; explicit CP-violation? Not clear if vevs are real; spontaneous CP-violation?
28 Vanishing sneutrino vev basis Notice that if R P is not imposed, h 0 1 and ν Li carry the same quantum numbers, even before symmetry breaking. Define ν Lα = (h 0 1, ν Li ) µ α = (µ, κ i ) Solving the minimisation conditions defines a direction in this (h 0 1, ν Li ) space. In the interaction basis, we are free to define any direction in (h 0 1, ν Li ) to be the Higgs. Had the basis been rotated such that the Higgs points in this direction, a basis would have been chosen such that the sneutrino vevs are zero. M. Bisset, O. C. W. Kong, C. Macesanu and L. H. Orr, Phys. Lett. B 430, 274 (1998) Y. Grossman and H. E. Haber, Phys. Rev. D 59, (1999)
29 Finding the vanishing sneutrino vev basis The neutral scalar potential takes the form V neutral = ( M 2 L )αβ ν Lα ν Lβ +m 2 2h 0 2 h 0 2 (b α ν Lα h 0 2+H.c)+ 1 8 (g2 +g2)[h h 0 2 ν Lα ν Lα ] 2 where ( M 2 L) ) αβ ( m 2 L αβ + µ αµ β, m 2 2 m 2 H 2 + µ αµ α A. Dedes, SR, J. Rosiek and M. Schmidt-Sommerfeld, hep-ph/
30 Finding the vanishing sneutrino vev basis The neutral scalar potential takes the form V neutral = ( M 2 L )αβ ν Lα ν Lβ +m 2 2h 0 2 h 0 2 (b α ν Lα h 0 2+H.c)+ 1 8 (g2 +g2)[h h 0 2 ν Lα ν Lα ] 2 Redefine the sneutrino fields ν Lα = U αβ ν Lβ, U = V diag(e iφ α ) Z, V unitary, Z orthogonal. V neutral = [ ( ) ] Z T ˆM 2 L Z ν Lα ν Lβ + m 2 2 h 0 [ αβ ] (b Z) α ν Lαh H.c 2 h ( ) 2 8 (g2 + g2) 2 h 0 2 h 0 2 ν Lα ν Lα
31 Minimisation conditions [ ( ) ] Z T ˆM 2 L Z v β (b Z) α v u 1 αβ 8 (g2 + g2)(v 2 u 2 v γ v γ ) v α = 0
32 Minimisation conditions [ ( ) ] Z T ˆM 2 L Z v β (b Z) α v u 1 αβ 8 (g2 + g2)(v 2 u 2 v γ v γ ) v α = 0 [ ( ) ] [ ( ) ] Z T ˆM 2 L Z v 0 + Z T ˆM 2 L Z v j (b Z) 0 v u j 8 (g2 +g2)(v 2 u v 2 γ v γ )v 0 = 0
33 Minimisation conditions [ ( ) ] Z T ˆM 2 L Z v β (b Z) α v u 1 αβ 8 (g2 + g2)(v 2 u 2 v γ v γ ) v α = 0 [ ( ) ] [ ( ) ] Z T ˆM 2 L Z v 0 + Z T ˆM 2 L Z v j (b Z) 0 v u j 8 (g2 +g2)(v 2 u v 2 γ v γ )v 0 = 0 [ ( ) ] [ ( ) ] Z T ˆM 2 L Z v 0 + Z T ˆM 2 L Z v j (b Z) i v u 1 i0 ij 8 (g2 +g2)(v 2 u v 2 γ v γ )v i = 0
34 Z α0 = ( ˆM 2 L) αα b α tan β 1 2 M 2 Z tan 2 β 1 tan 2 β+1. However, Z is an orthogonal matrix and orthoginality must be imposed 3 Z α0 Z α0 = 1 α=0 giving multiple solutions for tan β = v u v0 Each tan β corresponds to a different extrema. By considering all solutions for tan β can find the solution which corresponds to the deepest minima. This is the correct vanishing sneutrino vev basis. The first column of Z is now fully defined (3 parameters)
35 Have the freedom to define 3 3 orthogonal sub-matrix of Z such that [ ( ) ] Z T ˆM 2 L Z
36 Scalar potential in vanishing sneutrino vev basis V neutral = (Me 2 L ) αβ ν Lα ν Lβ + m 2 2 h 0 2 h 0 2 [ ] B α ν Lα h H.c (g2 + g2) 2 ( h 0 2 h 0 2 ν Lα ν Lα ) 2 where [ ( ) ] (Me 2 L ) αβ Z T ˆM 2 L Z αβ Have now moved to a basis where and B α (b Z) α sneutrino vevs are zero sneutrino masses diagonal, ( ˆM 2 ν ) i all the parameters of the scalar potential real; can split into CP-even and CP-odd eigenstates
37 Parametrizing the neutral scalar mass matrices M 2 A = 2 B 0 sin 2β and tan β where M 2 A is the mass of the lightest CP-odd Higgs boson in the Rpc limit. The Lagrangian contains the terms L ( x 2 r γ ) M 2 EVEN ( x2 r δ ) ( y 2 t γ ) M 2 ODD ( y2 t δ ) where h 0 2 = x 2 + iy 2 ν Lα = r α + it α
38 CP-even Higgs boson mass matrix M 2 EVEN = cos 2 βm 2 A + sin2 βm 2 Z 1 2 sin 2β(M 2 A + M 2 Z ) B j 1 2 sin 2β(M A 2 + M Z 2) sin2 βma 2 + cos2 βmz 2 B j tan β ( B i B i tan β ( ˆM ) 2 ν ) i cos 2βM Z 2 δ ij
39 CP-even Higgs boson mass matrix M 2 EVEN = cos 2 βm 2 A + sin2 βm 2 Z 1 2 sin 2β(M 2 A + M 2 Z ) B j 1 2 sin 2β(M A 2 + M Z 2) sin2 βma 2 + cos2 βmz 2 B j tan β ( B i B i tan β ( ˆM ) 2 ν ) i cos 2βM Z 2 Noticing that the top-left 2 2 sub-matrix is identical to the Rpc case, for which the Higgs masses are given by M 2 h,h = 1 2 ( M 2 Z + M 2 A ± ) (MZ 2 + M A 2)2 4MA 2M Z 2 cos2 2β δ ij Applying Courant-Fischer theorem, it can be seen that in Rpv case one eigenvalue which is smaller that M 2 Z exists
40 CP-odd Higgs boson mass matrix The CP-odd mass matrix reads M 2 ODD = cos 2 βma 2 + ξ sin2 βmz sin 2β(M A 2 ξm Z 2) B j 1 2 sin 2β(M A 2 ξm Z 2) sin2 βma 2 + ξ cos2 βmz 2 B j tan β B i B i tan β ( ˆM 2 ν ) iδ ij ξ is the gauge fixing parameter. we can project out without approximation the gauge dependent part, the would-be Goldstone mode, of the CP-odd scalar matrix as
41 CP-odd Higgs boson mass matrix The CP-odd mass matrix reads M 2 ODD = cos 2 βma 2 + ξ sin2 βmz sin 2β(M A 2 ξm Z 2) B j 1 2 sin 2β(M A 2 ξm Z 2) sin2 βma 2 + ξ cos2 βmz 2 B j tan β B i B i tan β ( ˆM 2 ν ) iδ ij ξ is the gauge fixing parameter. we can project out without approximation the gauge dependent part, the would-be Goldstone mode, of the CP-odd scalar matrix as ξmz V T M 2 ODDV = 0 MA 2 B j cos β 0 B i cos β ( ˆM 2 ν ) iδ ij
Neutrino Masses in the Lepton Number Violating MSSM
Neutrino Masses in the Lepton Number Violating MSSM Steven Rimmer Institute of Particle Physics Phenomenology, University of Durham A supersymmetric standard model Find the most general Lagrangian which
More informationarxiv:hep-ph/ v1 22 Jun 2005
IPPP/05/9 DCPT/05/58 March 18, 008 On the Neutral Scalar Sector of the General R-parity Violating MSSM arxiv:hep-ph/050609v1 Jun 005 A. Dedes (1, S. Rimmer (1, J. Rosiek (, M. Schmidt-Sommerfeld (1 (1
More informationModels 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 informationarxiv: 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 informationLecture 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+ µ 2 ) H (m 2 H 2
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
More informationHidden 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 informationPhysics 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 informationarxiv: v1 [hep-ph] 16 Mar 2017
Flavon-induced lepton flavour violation arxiv:1703.05579v1 hep-ph] 16 Mar 017 Venus Keus Department of Physics and Helsinki Institute of Physics, Gustaf Hällströmin katu, FIN-00014 University of Helsinki,
More informationLecture 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 informationIntroduction 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 informationLectures on Supersymmetry I
I Carlos E.M. Wagner HEP Division, Argonne National Laboratory Enrico Fermi Institute, University of Chicago Ecole de Physique de Les Houches, France, August 5, 005. PASI 006, Puerto Vallarta, Mexico,
More informationModels of New Physics for Dark Matter
Models of New Physics for Dark Matter Carlos Muñoz instituto de física teórica ift-uam/csic departamento de física teórica dft-uam 1 PPC 2010, Torino, July 12-16 Crucial Moment for SUSY in next few years:
More informationSuccessful Leptogenesis in the Left-Right Symmetric Seesaw Mechanism
Successful Leptogenesis in the Left-Right Symmetric Seesaw Mechanism Pierre Hosteins Patras University 13th November 2007 Brussels P.H., S. Lavignac and C. Savoy, Nucl. Phys. B755, arxiv:hep-ph/0606078
More information12.2 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 informationSUSY 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 informationU(1) Gauge Extensions of the Standard Model
U(1) Gauge Extensions of the Standard Model Ernest Ma Physics and Astronomy Department University of California Riverside, CA 92521, USA U(1) Gauge Extensions of the Standard Model (int08) back to start
More informationMinimal Supersymmetric Standard Model (MSSM). Nausheen R. Shah
Minimal Supersymmetric Standard Model (MSSM). Nausheen R. Shah June 8, 2003 1 Introduction Even though the Standard Model has had years of experimental success, it has been known for a long time that it
More informationIntroduction to Supersymmetry
Introduction to Supersymmetry 1: Formalism of SUSY M. E. Peskin Maria Laach Herbstschule September, 2004 Among models of electroweak symmetry breaking and physics beyond the Standard Model Supersymmetry
More informationElectroweak 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 informationA light singlet at the LHC and DM
A light singlet at the LHC and DM of the R-symmetric supersymmetric model Jan Kalinowski University of Warsaw in collaboration with P.Diessner, W. Kotlarski and D.Stoeckinger Supported in part by Harmonia
More informationParticle 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 informationarxiv: v1 [hep-ph] 5 Jan 2012
December 1, 013 8:59 WSPC/INSTRUCTION FILE arxiv:101.135v1 [hep-ph] 5 Jan 01 FERMION-BOSON LOOPS WITH BILINEAR R-PARITY VIOLATION LEADING TO MAJORANA NEUTRINO MASS AND MAGNETIC MOMENTS MAREK GÓŹDŹ and
More informationThe 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 informationPhysics at e + e - Linear Colliders. 4. Supersymmetric particles. M. E. Peskin March, 2002
Physics at e + e - Linear Colliders 4. Supersymmetric particles M. E. Peskin March, 2002 In this final lecture, I would like to discuss supersymmetry at the LC. Supersymmetry is not a part of the Standard
More informationNeutrino 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 informationarxiv:hep-ph/ v1 11 Jan 2001
IFT/00-36 hep-ph/0101111 Phenomenology of the Chargino and Neutralino Systems arxiv:hep-ph/0101111v1 11 Jan 2001 J. Kalinowski Instytut Fizyki Teoretycznej, Uniwersytet arszawski Hoża 69, 00681 arsaw,
More informationCLFV beyond minimal SUSY
CLFV beyond minimal SUSY Avelino Vicente LPT Orsay (CNRS U. Paris Sud) 1st Conference on Charged Lepton Flavor Violation Lecce (Italy) 1 Outline of the talk Introduction Enhancing CLFV with the Z-penguin
More informationHiggs 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 informationSupersymmetry Highlights. Kevin Hambleton
Supersymmetry Highlights Kevin Hambleton Outline SHO Example Why SUSY? SUSY Fields Superspace Lagrangians SUSY QED MSSM i Warm Up A Hint Of SUSY... Remember Quantum Simple Harmonic Oscillator... Canonical
More informationLecture 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 informationScaling in the Neutrino Mass Matrix and the See-Saw Mechanism. Werner Rodejohann (MPIK, Heidelberg) Erice, 20/09/09
Scaling in the Neutrino Mass Matrix and the See-Saw Mechanism Werner Rodejohann (MPIK, Heidelberg) Erice, 20/09/09 1 A. S. Joshipura, W.R., Phys. Lett. B 678, 276 (2009) [arxiv:0905.2126 [hep-ph]] A. Blum,
More informationInverse 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 informationBeyond 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 informationKaluza-Klein Theories - basic idea. Fig. from B. Greene, 00
Kaluza-Klein Theories - basic idea Fig. from B. Greene, 00 Kaluza-Klein Theories - basic idea mued mass spectrum Figure 3.2: (Taken from [46]). The full spectrum of the UED model at the first KK level,
More informationIntroduction 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 informationPseudo-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 informationMirror fermions, electroweak scale right-handed neutrinos and experimental implications
Mirror fermions, electroweak scale right-handed neutrinos and experimental implications P. Q. Hung University of Virginia Ljubljana 2008 Plan of Talk The question of parity restoration at high energies:
More informationSpontaneous 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 informationParticle 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 informationNeutrino Oscillations and R-parity Violating Supersymmetry
Neutrino Oscillations and R-parity Violating Supersymmetry O. Haug 1, J. D. Vergados 1,2, Amand Faessler 1 and S. Kovalenko 1,3 1 Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle
More informationLecture 6 The Super-Higgs Mechanism
Lecture 6 The Super-Higgs Mechanism Introduction: moduli space. Outline Explicit computation of moduli space for SUSY QCD with F < N and F N. The Higgs mechanism. The super-higgs mechanism. Reading: Terning
More informationGrand Unification. Strong, weak, electromagnetic unified at Q M X M Z Simple group SU(3) SU(2) U(1) Gravity not included
Pati-Salam, 73; Georgi-Glashow, 74 Grand Unification Strong, weak, electromagnetic unified at Q M X M Z Simple group G M X SU(3) SU() U(1) Gravity not included (perhaps not ambitious enough) α(q ) α 3
More informationThe 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 informationA Novel and Simple Discrete Symmetry for Non-zero θ 13
A Novel and Simple Discrete Symmetry for Non-zero θ 13 Yang-Hwan, Ahn (KIAS) Collaboration with Seungwon Baek and Paolo Gondolo NRF workshop Yonsei Univ., Jun 7-8, 2012 Contents Introduction We propose
More information12 Mar 2004, KTH, Stockholm. Peter Skands Dept. of Theoretical High Energy Physics, Lund University LHC
12 Mar 2004, KTH, Stockholm Peter Skands Dept. of Theoretical High Energy Physics, Lund University RPV-SUSY @ LHC Including how to: Save the proton from a Supersymmetric Death. Measure a Neutrino Angle
More information(Extra)Ordinary Gauge Mediation
(Extra)Ordinary Gauge Mediation David Shih IAS Based on: Clifford Cheung, Liam Fitzpatrick, DS, hep-ph/0710.3585 DS, hep-th/0703196 The LHC is coming... What will we see? The MSSM The MSSM is still the
More informationIntroduction 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 informationPHYSICS 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 informationSearching for sneutrinos at the bottom of the MSSM spectrum
Searching for sneutrinos at the bottom of the MSSM spectrum Arindam Chatterjee Harish-Chandra Research Insitute, Allahabad In collaboration with Narendra Sahu; Nabarun Chakraborty, Biswarup Mukhopadhyay
More informationNeutrino mass spectrum from the seesaw extension
Neutrino mass spectrum from the seesaw extension Darius Jurciukonis, homas Gajdosik, Andrius Juodagalvis and omas Sabonis arxiv:11.691v1 [hep-ph] 31 Dec 01 Vilnius University, Universiteto 3, -01513, Vilnius,
More informationTwo-Higgs-Doublet Model
Two-Higgs-Doublet Model Logan A. Morrison University of California, Santa Cruz loanmorr@ucsc.edu March 18, 016 Logan A. Morrison (UCSC) HDM March 18, 016 1 / 7 Overview 1 Review of SM HDM Formalism HDM
More informationFuzzy extra dimensions and particle physics models
Fuzzy extra dimensions and particle physics models Athanasios Chatzistavrakidis Joint work with H.Steinacker and G.Zoupanos arxiv:1002.2606 [hep-th] Corfu, September 2010 Overview Motivation N = 4 SYM
More informationTeV-scale type-i+ii seesaw mechanism and its collider signatures at the LHC
TeV-scale type-i+ii seesaw mechanism and its collider signatures at the LHC Wei Chao (IHEP) Outline Brief overview of neutrino mass models. Introduction to a TeV-scale type-i+ii seesaw model. EW precision
More informationDynamical 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 informationStrings, Exceptional Groups and Grand Unification
Strings, Exceptional Groups and Grand Unification Hans Peter Nilles Physikalisches Institut Universität Bonn Strings, Exceptional Groups and Grand Unification, Planck11, Lisbon, June 2011 p. 1/39 Outline
More informationSUSY models of neutrino masses and mixings: the left-right connection
SUSY models of neutrino masses and mixings: the left-right connection GK Workshop Bad Liebenzell Wolfgang Gregor Hollik October 10, 2012 INSTITUT FÜR THEORETISCHE TEILCHENPHYSIK KIT CAMPUS SÜD KIT University
More informationCP violation in charged Higgs production and decays in the Complex 2HDM
CP violation in charged Higgs production and decays in the Complex 2HDM Abdesslam Arhrib National Cheung Keung University (NCKU), Faculté des Sciences et Techniques Tangier, Morocco Based on: A.A, H. Eberl,
More informationStandard 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 informationProblems 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 informationImplications 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 informationarxiv:hep-ph/ v1 15 Jun 2004
hep-ph/0406168 Neutrino masses and R-parity violation Subhendu Rakshit Department of Physics, Technion Israel Institute of Technology Technion City, 32000 Haifa, Israel Abstract arxiv:hep-ph/0406168 v1
More informationarxiv:hep-ph/ v2 29 Oct 2000
CERN-TH/99-300 FTUV/99-65 IFIC/99-68 hep-ph/9911317 Neutral Higgs Sector of the MSSM without R p arxiv:hep-ph/9911317v 9 Oct 000 Sacha Davidson CERN Theory Division, CH-111 Genève 3, Switzerland Marta
More informationSupersymmetry, Baryon Number Violation and a Hidden Higgs. David E Kaplan Johns Hopkins University
Supersymmetry, Baryon Number Violation and a Hidden Higgs David E Kaplan Johns Hopkins University Summary LEP looked for a SM Higgs and didn t find it. Both electroweak precision measurements and supersymmetric
More informationCan 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 informationarxiv: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 informationEffective Theory for Electroweak Doublet Dark Matter
Effective Theory for Electroweak Doublet Dark Matter University of Ioannina, Greece 3/9/2016 In collaboration with Athanasios Dedes and Vassilis Spanos ArXiv:1607.05040 [submitted to PhysRevD] Why dark
More informationSupersymmetry, 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 informationFermion 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 informationSupersymmetry 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 informationResearch Article Metastability of an Extended Higgs Model
International Scholarly Research Network ISRN High Energy Physics Volume 1, Article ID 81915, 1 pages doi:1.54/1/81915 Research Article Metastability of an Extended Higgs Model A. Tofighi Department of
More informationWeek 3: Renormalizable lagrangians and the Standard model lagrangian 1 Reading material from the books
Week 3: Renormalizable lagrangians and the Standard model lagrangian 1 Reading material from the books Burgess-Moore, Chapter Weiberg, Chapter 5 Donoghue, Golowich, Holstein Chapter 1, 1 Free field Lagrangians
More informationNeutrino Mixing from SUSY breaking
Summer School and Workshop on the Standard Model and Beyond Corfu, Greece 2013 Neutrino Mixing from SUSY breaking in collaboration with Ulrich Nierste Wolfgang Gregor Hollik September 5, 2013 INSTITUT
More informationSplit 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 informationMaria Dimou In collaboration with: C. Hagedorn, S.F. King, C. Luhn. Tuesday group seminar 17/03/15 University of Liverpool
Maria Dimou In collaboration with: C. Hagedorn, S.F. King, C. Luhn Tuesday group seminar 17/03/15 University of Liverpool 1 Introduction Outline The SM & SUSY Flavour Problem. Solving it by imposing a
More informationIs SUSY still alive? Dmitri Kazakov JINR
2 1 0 2 The l o o h c S n a e p o r Eu y g r e n E h g i of H s c i s y PAnhjou, France 2 1 0 2 e n 6 19 Ju Is SUSY still alive? Dmitri Kazakov JINR 1 1 Why do we love SUSY? Unifying various spins SUSY
More informationSTANDARD 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 informationarxiv: v5 [hep-ph] 7 Sep 2011
LPT Orsay 09-76 CFTP/09-03 LPTA/09-066 The Next-to-Minimal Supersymmetric Standard Model arxiv:0910.1785v5 [hep-ph] 7 Sep 011 Ulrich Ellwanger a, Cyril Hugonie b and Ana M. Teixeira a,c 1 a LPT, UMR 867,
More informationUniversal 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 informationAutomatic CP Invariance and Flavor Symmetry
PRL-TH-95/21 Automatic CP Invariance and Flavor Symmetry arxiv:hep-ph/9602228v1 6 Feb 1996 Gautam Dutta and Anjan S. Joshipura Theory Group, Physical Research Laboratory Navrangpura, Ahmedabad 380 009,
More informationP, C and Strong CP in Left-Right Supersymmetric Models
P, C and Strong CP in Left-Right Supersymmetric Models Rabindra N. Mohapatra a, Andrija Rašin b and Goran Senjanović b a Department of Physics, University of Maryland, College Park, MD 21218, USA b International
More informationSUPERSYMETRY FOR ASTROPHYSICISTS
Dark Matter: From the Cosmos to the Laboratory SUPERSYMETRY FOR ASTROPHYSICISTS Jonathan Feng University of California, Irvine 29 Jul 1 Aug 2007 SLAC Summer Institute 30 Jul 1 Aug 07 Feng 1 Graphic: N.
More informationSUSY 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 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 informationPoS(QFTHEP2011)052. Self-energy corrections to the MSSM finite-temperature Higgs potential
Self-energy corrections to the MSSM finite-temperature Higgs potential A. Borisov P.N.Lebedev Physical Institute, Russian Academy of Sciences E-mail: andolbor@td.lpi.ru M. Dolgopolov Samara State University
More informationLecture 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 informationNeutrino 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 informationThe Physics of Heavy Z-prime Gauge Bosons
The Physics of Heavy Z-prime Gauge Bosons Tevatron LHC LHC LC LC 15fb -1 100fb -1 14TeV 1ab -1 14TeV 0.5TeV 1ab -1 P - =0.8 P + =0.6 0.8TeV 1ab -1 P - =0.8 P + =0.6 χ ψ η LR SSM 0 2 4 6 8 10 12 2σ m Z'
More informationSymmetries 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 informationarxiv: v1 [hep-ph] 12 Nov 2018
SISSA 47/2018/FISI IPMU18-0187 IPPP/18/98 Modular S 4 Models of Lepton Masses and Mixing P. P. Novichkov a,1, J. T. Penedo a,2, S. T. Petcov a,b,, A. V. Titov c,4 arxiv:1811.049v1 [hep-ph] 12 Nov 2018
More informationThe 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 informationBSM physics and Dark Matter
BSM physics and Dark Matter Andrea Mammarella University of Debrecen 26-11-2013 1 Introduction and motivation 2 Dark Matter 3 MiAUMSSM 4 Dark Matter in the MiAUMSSM 5 Conclusion Introduction and motivation
More informationCharged Higgs Beyond the MSSM at the LHC. Katri Huitu University of Helsinki
Charged Higgs Beyond the MSSM at the LHC Katri Huitu University of Helsinki Outline: Mo;va;on Charged Higgs in MSSM Charged Higgs in singlet extensions H ± à aw ± Charged Higgs in triplet extensions H
More information2 Induced LFV in the SUSY see-saw framework
LFV Constraints on the Majorana Mass Scale in msugra Frank Deppisch, Heinrich Päs, Andreas Redelbach, Reinhold Rückl Institut für Theoretische Physik und Astrophysik Universität Würzburg D-97074 Würzburg,
More informationCP Violation, Baryon violation, RPV in SUSY, Mesino Oscillations, and Baryogenesis
CP Violation, Baryon violation, RPV in SUSY, Mesino Oscillations, and Baryogenesis David McKeen and AEN, arxiv:1512.05359 Akshay Ghalsasi, David McKeen, AEN., arxiv:1508.05392 (Thursday: Kyle Aitken, David
More informationAspects of the Exceptional Supersymmetric Standard Model
Nuclear Physics B (Proc. Suppl.) 200 202 (2010) 120 129 www.elsevier.com/locate/npbps Aspects of the Exceptional Supersymmetric Standard Model Peter Athron a, Jonathan P. Hall b, Richard Howl b, Stephen
More informationarxiv:hep-ph/ v1 12 Feb 2001
WM-01-115 April 5, 2008 Extra neutral gauge bosons and Higgs bosons in an E 6 -based model Shuquan Nie 1 and Marc Sher 2 arxiv:hep-ph/0102139v1 12 Feb 2001 Nuclear and Particle Theory Group Physics Department
More informationChapter 2 Theoretical Framework and Motivation
Chapter 2 Theoretical Framework and Motivation The Standard Model is currently the most precise theoretical framework to describe the sub-atomic particles and their behavior, and a large number of precision
More informationSM predicts massless neutrinos
MASSIVE NEUTRINOS SM predicts massless neutrinos What is the motivation for considering neutrino masses? Is the question of the existence of neutrino masses an isolated one, or is connected to other outstanding
More informationTPP entrance examination (2012)
Entrance Examination Theoretical Particle Physics Trieste, 18 July 2012 Ì hree problems and a set of questions are given. You are required to solve either two problems or one problem and the set of questions.
More informationF. Börkeroth, F. J. de Anda, I. de Medeiros Varzielas, S. F. King. arxiv:
F. Börkeroth, F. J. de Anda, I. de Medeiros Varzielas, S. F. King S FLASY 2015 arxiv:1503.03306 Standard Model Gauge theory SU(3)C X SU(2)L X U(1)Y Standard Model Gauge theory SU(3)C X SU(2)L X U(1)Y SM:
More information