RG flow of the Higgs potential. Holger Gies
|
|
- Samantha Butler
- 5 years ago
- Views:
Transcription
1 RG flow of the Higgs potential Holger Gies Helmholtz Institute Jena & TPI, Friedrich-Schiller-Universität Jena & C. Gneiting, R. Sondenheimer, PRD 89 (2014) , [arxiv: ], & S. Rechenberger, M.M. Scherer, L. Zambelli, EPJC 73 (2013) 2652 [arxiv: ] & R. Sondenheimer, arxiv: ; L. Zambelli, arxiv:14xx.yyyy Strong interactions in the LHC era
2 Search for the Higgs boson 4 Jul ATLAS & 14 Mar 2013, CERN press release:... the new particle is looking more and more like a Higgs boson... CMS 12 : ± 0.4(stat) ± 0.5(sys)GeV, ATLAS 12 : ± 0.4(stat) ± 0.4(sys)GeV Success of Experiment & Theory (ANDERSON 62; BROUT,ENGLERT 64; HIGGS 64; GURALNIK,HAGEN,KIBBLE 64)
3
4 Numbers matter standard model best before: Λ = M Planck?
5 Validity range of the standard model Λ: UV cutoff SM as effective theory scale of maximum UV extension Λ? scale of new physics: Λ NP Λ
6 Higgs boson mass and maximum validity scale upper bound m H λ R v 2 lower bound (HAMBYE,RIESSELMANN 97) SM: e.g. (KRIVE,LINDE 76; MAIANI,PARISI,PETRONZIO 78; KRASNIKOV 78; POLITZER, WOLFRAM 78; HUNG 79; LINDNER 85; WETTERICH 87; SHER 88; FORT,JONES,STEPHENSON, EINHORN 93; ALTARELLI,ISIDORI 94; SCHREMPP,WIMMER 96;... ; HOLTHAUSEN,LIM,LINDNER 09;... ) BSM: e.g., (CABBIBO, MAIANI,PARISI,PETRONZIO 79; ESPINOSA,QUIROS 91;... )
7 Lower bound of Higgs boson mass vacuum stability / meta-stability bound effective potential á la Coleman Weinberg: U eff (φ) = 1 2 µ2 φ λ(φ)φ4 e.g., λ(φ) from RG-improved perturbation theory: t λ = 3 4π 2 ( ht 4 + ht 2 λ + 1 [ 2g 4 + (g 2 + g 2 ) 2] 1 ) 16 4 λ(3g2 + g 2 ) + λ 2
8 Lower bound of Higgs boson mass effective potential á la Coleman Weinberg: U eff (φ) = 1 2 µ2 φ λ(φ)φ4 e.g., λ(φ) from RG-improved perturbation theory: t λ = 3 4π 2 ( ht 4 + ht 2 λ + 1 [ 2g 4 + (g 2 + g 2 ) 2] 1 ) 16 4 λ(3g2 + g 2 ) + λ 2 (GABRIELLI ET AL. 13)
9 Lower Bound of Higgs boson mass meta-stability: tunneling time > age of universe Near critical standard model: (BUTTAZZO ET AL. 13) NNLO calculation (DEGRASSI ET AL. 12) earlier calculations, e.g., (ISIDORI,RIDOLFI,STRUMIA 01)
10 Lower Bound of Higgs boson mass Near critical standard model: (BUTTAZZO ET AL. 13: UPDATE V4) Stability seems to prefer m H 130GeV or m top 171GeV
11 Lower Bound of Higgs boson mass Near critical standard model: (BUTTAZZO ET AL. 13: UPDATE V4) Stability seems to prefer m H 130GeV or m top 171GeV The Higgs potential has the worrisome feature that it might become metastable at energies above 100bn gig-electron-volts,
12 2nd thoughts on the lower bound True minimum of U eff (φ) at φ GeV > M Pl? UV IR RG flow?
13 2nd thoughts on the lower bound True minimum of U eff (φ) at φ GeV > M Pl? UV IR RG flow? simple top-higgs Yukawa model: lattice simulation vs. 1-loop PT with cutoff vs. 1-loop Λ-removed PT (HOLLAND,KUTI 03; HOLLAND 04) Criticism: to few scales? (EINHORN,JONES 07)
14 Z 2 symmetric model S int = ihφ ψψ Top-Higgs Yukawa models chiral model S int = i h t ( ψ L φ C t R + t R φ C ψ L) includes relevant top quark + Higgs field (+ largest Yukawa coupling) discrete model no Goldstone bosons (as in SM) gauged models: (POSTER: R. SONDENHEIMER)
15 Top-Higgs Yukawa models generating functional: Z [J] = DφD ψdψe S[φ, ψ,ψ]+ Jφ Λ = Dφ e S[φ, ψ,ψ] S F,Λ [φ]+ Jφ Λ (HOLLAND, KUTI 03; HOLLAND 04) top-induced effective potential U F (φ) = 1 2Ω ln det Λ( 2 + ht 2φ φ) det Λ ( 2, ) CAVE: cutoff Λ / regularization dependent
16 Top-induced effective potential exact results for fermion determinants for homogeneous φ e.g., sharp cutoff: U F,t (φ) = Λ2 8π 2 h2 t φ 2 }{{} <0 (mass-like term) π 2 [ ) )] ht 4 φ 4 ln (1 + Λ2 ht 2 + h 2 φ 2 t φ 2 Λ 2 Λ 4 ln (1 + h2 t φ 2 Λ 2 }{{} >0 (interaction part) mass-like term: contributes to χsb = v 246GeV interaction part: strictly positive = cannot induce instability for any finite Λ (HG,SONDENHEIMER 14)
17 Rederiving the instability try to send Λ : U F,t (φ) = Λ2 8π 2 h2 t φ ( 16π 2 h4 t φ [ln 4 Λ2 h 2 ht 2 + const. + O t φ 2 )] φ 2 Λ 2
18 Rederiving the instability try to send Λ : U F,t (φ) = Λ2 8π 2 h2 t φ ( 16π 2 h4 t φ [ln 4 Λ2 h 2 ht 2 + const. + O t φ 2 )] φ 2 Λ 2 renormalization: trade (Λ, m Λ, λ Λ ) for (µ, v, λ v )? U F,t (φ) 1 ) 16π 2 h4 t φ (ln 4 h2 t φ 2 µ 2 + const.
19 Rederiving the instability try to send Λ : U F,t (φ) = Λ2 8π 2 h2 t φ ( 16π 2 h4 t φ [ln 4 Λ2 h 2 ht 2 + const. + O t φ 2 )] φ 2 Λ 2 renormalization: trade (Λ, m Λ, λ Λ ) for (µ, v, λ v )? U F,t (φ) 1 ) 16π 2 h4 t φ (ln 4 h2 t φ 2 µ 2 + const. instability occurs beyond h2 t φ 2 Λ 2 > 1 (HG,SONDENHEIMER 14) similar problems for other reg s implicit renormalization conditions would violate unitarity (HOLLAND, KUTI 03; HOLLAND 04) (BRANCHINA,FAIVRE 05; GNEITING 05)
20 Contradiction? t λ = 3 4π 2 h4 t +... = λ < 0 interaction part of U F,t (φ) > 0 strictly positive
21 Contradiction? t λ = 3 4π 2 h4 t +... = λ < 0 U eff (φ) 1 2 λ(φ)φ4 interaction part of U F,t (φ) > 0 strictly positive
22 Contradiction? t λ = 3 4π 2 h4 t +... = λ < 0 U eff (φ) 1 2 λ(φ)φ4 interaction part of U F,t (φ) > 0 strictly positive ( h 2 t CAVE: O )-terms φ 2 Λ 2 for finite Λ
23 Summary, Part I no in-/meta-stability from top (fermion) fluctuations... if cutoff Λ is kept finite but arbitrary no in-/meta-stability at all? U eff (φ) = U Λ (φ) + U B (φ) + U F (φ)
24 Summary, Part I no in-/meta-stability from top (fermion) fluctuations... if cutoff Λ is kept finite but arbitrary no in-/meta-stability at all? U eff (φ) = U Λ (φ) + U B (φ) + U F (φ) }{{}}{{} arbitrary generically stable... in-/meta-stabilities from the bare action/uv completion lower Higgs mass bounds? = nonperturbative methods recommended if not needed extensive lattice simulations: (FODOR,HOLLAND,KUTI,NOGRADI,SCHROEDER 07) constraining 4th generations: implications for dark matter models: (GERHOLD,JANSEN ) (GERHOLD,JANSEN,KALLARACKAL 10; BULAVA,JANSEN,NAGY 13) (EICHHORN, SCHERER 14) (POSTER: M.M. SCHERER)
25 Higgs boson mass bounds as a UV to IR mapping Λ
26 Higgs boson mass bounds as a UV to IR mapping Λ
27 Higgs boson mass bounds as a UV to IR mapping Λ
28 Higgs boson mass bounds as a UV to IR mapping Λ
29 Higgs boson mass bounds as a UV to IR mapping Λ
30 Higgs boson mass bounds as a UV to IR mapping Λ QFT + RG
31 Higgs boson mass bounds as a UV to IR mapping Λ QFT + RG = consistency bounds
32 Higgs boson mass bounds as a UV to IR mapping microscopic action at cutoff Λ: (HG,GNEITING,SONDENHEIMER 13) S Λ = S Λ (m 2 Λ, λ Λ, λ 6,Λ,..., h Λ,... ) = RG: mapping to IR observables RG = v 246GeV, m top 173GeV, m H = m H [S Λ ] e.g, renormalizable (?) UV bare potential U Λ (φ) = 1 2 m2 Λφ λ Λφ 4, λ Λ 0 trade: m Λ, h Λ v, m top = m H = m H (λ Λ, Λ)
33 Nonperturbative tool: functional RG (WETTERICH 93) t Γ k = 1 2 Tr tr k (Γ (2) k + R k ) 1 RG trajectory: Γ k =Λ = S Λ = 1 2 ( φ)2 + U Λ (φ) +...
34 Nonperturbative tool: functional RG (WETTERICH 93) RG trajectory: t Γ k = 1 2 Tr tr k (Γ (2) k + R k ) 1
35 Nonperturbative tool: functional RG (WETTERICH 93) RG trajectory: t Γ k = 1 2 Tr tr k (Γ (2) k + R k ) 1
36 Nonperturbative tool: functional RG (WETTERICH 93) t Γ k = 1 2 Tr tr k (Γ (2) k + R k ) 1 RG trajectory: Γ k 0 = Γ = U eff +...
37 Higgs boson mass bounds from functional RG Z 2 Yukawa model + φ 4 bare potential (HG,GNEITING,SONDENHEIMER 13) Systematic derivative expansion: ( ) Γ k = d d Zφk x 2 µφ µ φ + U k (φ 2 ) + Z ψk ψi / ψ + ihk φ ψψ m H GeV GeV λ Λ = 0
38 Higgs boson mass bounds from functional RG Z 2 Yukawa model + φ 4 bare potential (HG,GNEITING,SONDENHEIMER 13) Systematic derivative expansion: ( ) Γ k = d d Zφk x 2 µφ µ φ + U k (φ 2 ) + Z ψk ψi / ψ + ihk φ ψψ m H GeV GeV λ Λ = 0 λ Λ = 0.1
39 Higgs boson mass bounds from functional RG Z 2 Yukawa model + φ 4 bare potential (HG,GNEITING,SONDENHEIMER 13) Systematic derivative expansion: ( ) Γ k = d d Zφk x 2 µφ µ φ + U k (φ 2 ) + Z ψk ψi / ψ + ihk φ ψψ 800 m H GeV λ Λ = 0 λ Λ = 0.1 λ Λ = 1 GeV
40 Higgs boson mass bounds from functional RG Z 2 Yukawa model + φ 4 bare potential (HG,GNEITING,SONDENHEIMER 13) Systematic derivative expansion: ( ) Γ k = d d Zφk x 2 µφ µ φ + U k (φ 2 ) + Z ψk ψi / ψ + ihk φ ψψ 800 m H GeV λ Λ = 0 λ Λ = 0.1 λ Λ = 1 λ Λ = 10 GeV
41 Higgs boson mass bounds from functional RG Z 2 Yukawa model + φ 4 bare potential (HG,GNEITING,SONDENHEIMER 13) Systematic derivative expansion: ( ) Γ k = d d Zφk x 2 µφ µ φ + U k (φ 2 ) + Z ψk ψi / ψ + ihk φ ψψ 800 m H GeV λ Λ = 0 λ Λ = 0.1 λ Λ = 1 λ Λ = 10 λ Λ = 100 GeV
42 Higgs boson mass bounds from functional RG Z 2 Yukawa model + φ 4 bare potential (HG,GNEITING,SONDENHEIMER 13) Systematic derivative expansion: ( ) Γ k = d d Zφk x 2 µφ µ φ + U k (φ 2 ) + Z ψk ψi / ψ + ihk φ ψψ 800 m H GeV λ Λ = 0 λ Λ = 0.1 λ Λ = 1 λ Λ = 10 λ Λ = 100 GeV = conventional lower bound for λ Λ = 0 ( mean-field result) agreement with lattice (HOLLAND 04; FODOR,HOLLAND,KUTI,NOGRADI,SCHROEDER 07; GERHOLD,JANSEN )
43 Conventional lower Higgs boson mass bound chiral top-bottom-higgs Yukawa model (+Goldstone decoupling): (HG,SONDENHEIMER 14) mhgev GeV FRG: NLO derivative expansion λ 2Λ = 0 λ 2Λ = 1 λ 2Λ = 10 λ 2Λ = 100 = conventional lower bound close to Z 2 model:... bottom quark has little quantitative influence
44 General microscopic actions S Λ is a priori unconstrained. Consider, e.g., U Λ = λ 1Λ 2 φ2 + λ 2Λ 8 φ4 + λ 3Λ 48 φ6 (HG,GNEITING,SONDENHEIMER 13) for λ 3Λ > 0 we can choose λ 2Λ < 0:
45 General microscopic actions S Λ is a priori unconstrained. Consider, e.g., U Λ = λ 1Λ 2 φ2 + λ 2Λ 8 φ4 + λ 3Λ 48 φ6 (HG,GNEITING,SONDENHEIMER 13) mhgev for λ 3Λ > 0 we can choose λ 2Λ < 0: GeV λ 3Λ = 0, λ 2Λ = 0 λ 3Λ = 3, λ 2Λ = 0.08 lower bound relaxed = consistency bound < conventional bound string models with λ < 0: (HEBECKER,KNOCHEL,WEIGAND 13)
46 Renormalizable field theories seeming contradiction with common wisdom...?... observables are determined by renormalizable operators... y-axis: m H observable, x-axis: Λ?
47 RG mechanism for lowering the lower bound g i g 2 Theory Space g 1
48 RG mechanism for lowering the lower bound g i Gaußian fixed point g 2 Theory Space g 1
49 RG mechanism for lowering the lower bound g i renormalizable operators span a hyperplane g 2 Theory Space g 1
50 RG mechanism for lowering the lower bound g i non-renormalizable operators are exponentially damped towards the IR g 2 Theory Space g 1
51 RG mechanism for lowering the lower bound g i non-renormalizable operators are exponentially damped towards the IR BUT: RG time (scales) is needed for this damping g 2 Theory Space g 1
52 Consistency bounds from generalized bare actions e.g., U Λ = λ 1Λ 2 φ2 + λ 2Λ 8 φ4 + λ 3Λ 48 φ6 (HG,GNEITING,SONDENHEIMER 13) mhgev GeV = consistency bound shifted Λ axis λ 3Λ = 0, λ 2Λ = 0 λ 3Λ = 3, λ 2Λ = 0.08
53 Lowering the lower Higgs boson mass bound chiral model with λ 6,Λ (φ φ) 3 interaction comparison with lattice data: mhgev = RG mechanism confirmed GeV (HG,SONDENHEIMER 14) (HEDGE,JANSEN,LIN,NAGY 13) 10 GeV at Λ GeV O(1) variations of bare λ n,λ : m H 5 GeV at Λ GeV 2 GeV at Λ GeV (POSTER: R. SONDENHEIMER)
54 Summary, Part II Consistency bounds on the Higgs boson mass (or any other physical IR observable) arise from a mapping S micro O phys... provided by the RG For effective quantum field theories (with a cutoff Λ): bounds on O phys = f [S Λ ]... full S Λ not just the renormalizable operators lowering the conventional lower Higgs boson mass bound is possible... without in-/meta-stable vacuum
55 TODO list Λ study of general S Λ evolution of several minima instabilities?
56 Implications if m H < conventional lower bound: new physics at lower scales first constraints on underlying UV completion if m H exactly on the convenional lower bound: (e.g. if m top 171GeV) underlying UV completion has to explain absence of higher dimensional operators... criticality flat interaction potential
57 Candidates Asymptotically free YM-Higgs-Yukawa models? possible, pheno-viable models?? general perturbative UV prediction: (REV.: CALLAWAY 88) λ g analysis relies on the deep Euclidean region standard model + asymptotically safe gravity (WEINBERG 76; REUTER 96) gravity fluctuations induces a UV fixed point λ 0 (PERCACCI ET AL 03 09) = m H put onto conventional lower bound (WETTERICH,SHAPOSHNIKOV 10) (BEZRUKOV,KALMYKOV,KNIEHL,SHAPOSHNIKOV 12) asymptotically safe ( free) particle physics models? (SHROCK 13 14) = guaranteed in gauged Yukawa models (LITIM,SANNINO 14) (TALKS: R. SHROCK, D. LITIM)
58 Asymptotically free UV gauge scaling solutions? (RECHENBERGER,SCHERER,HG,ZAMBELLI 13; HG,ZAMBELLI 14IP) (Almost) flat potentials: = large amplitude fluctuations If flatness is driven by asymptotically free gauge sector: gauge rescaling of fields: X = g 2P Z φ φ 2 = solution of fixed-point equation for effective potential (P = 1): SU(2) Yang-Mills-Higgs : ( ) 2 [ ( )] 3 X V (X) = ξx 2 2X + X 2 ln 16π 2 + X = Coleman-Weinberg type, one-parameter family ξ k 2
59 Asymptotically free UV gauge scaling solutions gauge scaling towards flatness (RECHENBERGER,SCHERER,HG,ZAMBELLI 13; HG,ZAMBELLI 14IP) g = g = 0.04 g = 0.03 g = 0.02 g = 0.01 approach to UV k : φ 2 g 2 0, φ min 2 1 g 2, λ g4 0, = deep Euclidean region is sidestepped m 2 W k 2 const. marginal-relevant direction: self-similar & polynomially bounded (MORRIS 98)
60 Estimates of IR Observables (HG,ZAMBELLI 14IP) Higgs to W boson mass ratio: 10 3 mh2 4mW 2 m 2 H m 2 W ξ UV-IR mapping of physical parameters: Ξ v m H m W g 2 δm 2 ξ marginal-relevant relevant exactly marginal = pheno-relevant parameter regime is accessible = SU(2) non-abelian Higgs model can be UV complete
61 Summary, Part III Numbers matter... m top, m H QFT is more than a collection of recipes... new insight from new tools vacuum stability: no reason for concern... so far... UV complete models approaching flat potentials... appealing also in view of current data
62
63 The IR window for the Higgs boson mass m H vλ R (WETTERICH 87) mapping: λ Λ λ R not surjective on R + e.g. for φ 4 bare potential, fix Λ = 10 7 GeV mhgev (HG,GNEITING,SONDENHEIMER 13) convergence check of derivative expansion NLO / LO strong coupling U eff solver (polynom. exp.) Λ
64 chiral Yukawa model: Towards the standard model (HG,SONDENHEIMER 14) [ S = µ φ µ φ + U(φ φ) + ti / t + bi / b + ih b ( ψ L φb R + b R φ ψ L ) + ih t ( ψ ] L φ C t R + t R φ C ψ L) φ = ( ) φ1 + iφ 2 φ 4 + iφ 3 ψ L = ( tl b L ) enforce decoupling of Goldstone bosons (m G = 0) k 2 k 2 + m 2 G k 2 k 2 + m 2 G + gv 2 k choose gauge boson masses gv 2 k = (80.4 GeV)2 cf. lattice model (GERHOLD,JANSEN )
65 Lowering the lower Higgs boson mass bound generalized bare potential with λ 6,Λ (φ φ) 3 interaction: (HG,SONDENHEIMER 14) mhgev λ 3Λ = 0, λ 2Λ = 0 λ 3Λ = 3, λ 2Λ = GeV = same RG mechanism at work
66 Gauge-invariant regulator ζ function regularization (interpolating reg.: propertime dim.reg.) (HG,SONDENHEIMER 14) U F,t (φ) = 4µ4 d Λ d 2 (d 2)(4π) d/2 h2 t φ 2 }{{} <0 (mass-like term) + 2µ4 d dt (4π) d/2 1/Λ 2 ( ) e h2 T 1+(d/2) t φ 2T + ht 2 φ 2 T 1 }{{} >0 (interaction part) interaction part: strictly positive = cannot induce instability for any finite Λ, µ, d
67 Gauge-invariant regulator ζ function regularization (interpolating reg.: propertime dim.reg.) (HG,SONDENHEIMER 14) U F,t (φ) = 4µ4 d Λ d 2 (d 2)(4π) d/2 h2 t φ 2 }{{} <0 (mass-like term) + 2µ4 d dt (4π) d/2 1/Λ 2 ( ) e h2 T 1+(d/2) t φ 2T + ht 2 φ 2 T 1 }{{} >0 (interaction part) BUT: Limit Λ and expansion about d = 4 ɛ? U F,t (φ) # ɛ h4 t φ 4 1 ) 16π 2 h4 t φ (ln 4 h2 t φ 2 µ 2 + const. = instability : artifact of dim.reg use dim.reg. in the presence of large fields: (BROWN 76,LUSCHER 82)
RG flow of the Higgs potential. Holger Gies
RG flow of the Higgs potential Holger Gies Helmholtz Institute Jena & Friedrich-Schiller-Universität Jena & C. Gneiting, R. Sondenheimer, PRD 89 (2014) 045012, [arxiv:1308.5075], & S. Rechenberger, M.M.
More informationRG flow of the Higgs potential. Holger Gies
RG flow of the Higgs potential Holger Gies Helmholtz Institute Jena & Friedrich-Schiller-Universität Jena & C. Gneiting, R. Sondenheimer, PRD 89 (2014) 045012, [arxiv:1308.5075], & S. Rechenberger, M.M.
More informationVacuum stability and the mass of the Higgs boson. Holger Gies
Vacuum stability and the mass of the Higgs boson Holger Gies Helmholtz Institute Jena & TPI, Friedrich-Schiller-Universität Jena & C. Gneiting, R. Sondenheimer, PRD 89 (2014) 045012, [arxiv:1308.5075],
More informationHiggs mass bounds from the functional renormalization group
Higgs mass bounds from the functional renormalization group René Sondenheimer A. Eichhorn, H. Gies, C. Gneiting, J. Jäckel, T. Plehn, M. Scherer Theoretisch-Physikalisches Institut Friedrich-Schiller-Universität
More informationAsymptotically free nonabelian Higgs models. Holger Gies
Asymptotically free nonabelian Higgs models Holger Gies Friedrich-Schiller-Universität Jena & Helmholtz-Institut Jena & Luca Zambelli, PRD 92, 025016 (2015) [arxiv:1502.05907], arxiv:16xx.yyyyy Prologue:
More informationUV completion of the Standard Model
UV completion of the Standard Model Manuel Reichert In collaboration with: Jan M. Pawlowski, Tilman Plehn, Holger Gies, Michael Scherer,... Heidelberg University December 15, 2015 Outline 1 Introduction
More informationThe 1-loop effective potential for the Standard Model in curved spacetime
The 1-loop effective potential for the Standard Model in curved spacetime arxiv:1804.02020 (JHEP) The 1-loop effective potential for the SM in curved spacetime arxiv:1809.06923 (Review) Cosmological Aspects
More informationEffective Field Theory
Effective Field Theory Iain Stewart MIT The 19 th Taiwan Spring School on Particles and Fields April, 2006 Physics compartmentalized Quantum Field Theory String Theory? General Relativity short distance
More informationMIAMI 2012 December 13-20, 2012, Fort Lauderdale, Florida, USA
NEWS FROM LHC: ARE WE LIVING IN A METASTABLE VACUUM? Vincenzo Branchina and Emanuele Messina Department of Physics, University of Catania, Italy and INFN, Sezione di Catania, Italy MIAMI 01 December 13-0,
More informationNon-perturbative Study of Chiral Phase Transition
Non-perturbative Study of Chiral Phase Transition Ana Juričić Advisor: Bernd-Jochen Schaefer University of Graz Graz, January 9, 2013 Table of Contents Chiral Phase Transition in Low Energy QCD Renormalization
More informationFrom Quarks and Gluons to Hadrons: Functional RG studies of QCD at finite Temperature and chemical potential
From Quarks and Gluons to Hadrons: Functional RG studies of QCD at finite Temperature and chemical potential Jens Braun Theoretisch-Physikalisches Institut Friedrich-Schiller Universität Jena Quarks, Hadrons
More informationThe 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 informationThe status of asymptotic safety for quantum gravity and the Standard Model
The status of asymptotic safety for quantum gravity and the Standard Model Aaron Held Institut für Theoretische Physik, Universität Heidelberg 1803.04027 (A. Eichhorn & AH) Phys.Lett. B777 (2018) 217-221
More informationRenormalization Group Equations
Renormalization Group Equations Idea: study the dependence of correlation functions on the scale k Various options: k = Λ: Wilson, Wegner-Houghton, coarse graining constant physics, cutoff/uv insensitivity
More informationScalar mass stability bound in a simple Yukawa-theory from renormalisation group equations
Scalar mass stability bound in a simple Yuawa-theory from renormalisation group equations (arxiv:1508.06774) Antal Jaovác, István Kaposvári, András Patós Department of Atomic Physics Eötvös University,
More informationGauge coupling unification without leptoquarks Mikhail Shaposhnikov
Gauge coupling unification without leptoquarks Mikhail Shaposhnikov March 9, 2017 Work with Georgios Karananas, 1703.02964 Heidelberg, March 9, 2017 p. 1 Outline Motivation Gauge coupling unification without
More informationWho 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 informationA Minimal Composite Goldstone Higgs model
A Minimal Composite Goldstone Higgs model Lattice for BSM Physics 2017, Boston University Plan of the talk Introduction to composite Goldstone Higgs models Lattice results for the SU(2) Goldstone Higgs
More informationFrom Inflation to TeV physics: Higgs Reheating in RG Improved Cosmology
From Inflation to TeV physics: Higgs Reheating in RG Improved Cosmology Yi-Fu Cai June 18, 2013 in Hefei CYF, Chang, Chen, Easson & Qiu, 1304.6938 Two Standard Models Cosmology CMB: Cobe (1989), WMAP (2001),
More informationDirections for BSM physics from Asymptotic Safety
Bad Honnef- 21.6.2018 Directions for BSM physics from Asymptotic Safety phenomenology connecting theory to data Gudrun Hiller, TU Dortmund q f e DFG FOR 1873 et 1 Asymptotic Safety pheno for cosmology
More informationRenormalization Group Study of the Chiral Phase Transition
Renormalization Group Study of the Chiral Phase Transition Ana Juričić, Bernd-Jochen Schaefer University of Graz Graz, May 23, 2013 Table of Contents 1 Proper Time Renormalization Group 2 Quark-Meson Model
More informationRenormalization Group: non perturbative aspects and applications in statistical and solid state physics.
Renormalization Group: non perturbative aspects and applications in statistical and solid state physics. Bertrand Delamotte Saclay, march 3, 2009 Introduction Field theory: - infinitely many degrees of
More informationScalar mass stability bound in a simple Yukawa-theory from renormalisation group equations
Scalar mass stability bound in a simple Yuawa-theory from renormalisation group equations (arxiv:1508.06774) Antal Jaovác, István Kaposvári, András Patós Department of Atomic Physics Eötvös University,
More informationThe asymptotic-safety paradigm for quantum gravity
The asymptotic-safety paradigm for quantum gravity Astrid Eichhorn Imperial College, London Helsinki workshop on quantum gravity June 1, 2016 Asymptotic safety Generalization of asymptotic freedom (! Standard
More informationHiggs Physics from the Lattice Lecture 3: Vacuum Instability and Higgs Mass Lower Bound
Higgs Physics from the Lattice Lecture 3: Vacuum Instability and Higgs Mass Lower Bound Julius Kuti University of California, San Diego INT Summer School on Lattice QCD and its applications Seattle, August
More informationLeptogenesis via Higgs Condensate Relaxation
The Motivation Quantum Fluctuations Higgs Relaxation Leptogenesis Summary Leptogenesis via Higgs Condensate Relaxation Louis Yang Department of Physics and Astronomy University of California, Los Angeles
More informationCritical exponents in quantum Einstein gravity
Critical exponents in quantum Einstein gravity Sándor Nagy Department of Theoretical physics, University of Debrecen MTA-DE Particle Physics Research Group, Debrecen Leibnitz, 28 June Critical exponents
More informationKamila Kowalska. TU Dortmund. based on and work in progress with A.Bond, G.Hiller and D.Litim EPS-HEP Venice, 08 July 2017
Towards an asymptotically safe completion of the Standard Model Kamila Kowalska TU Dortmund based on 1702.01727 and work in progress with A.Bond, G.Hiller and D.Litim 08.07.2017 EPS-HEP 2017 Venice, 08
More informationQCD Phases with Functional Methods
QCD Phases with Mario PhD-Advisors: Bernd-Jochen Schaefer Reinhard Alkofer Karl-Franzens-Universität Graz Institut für Physik Fachbereich Theoretische Physik Rab, September 2010 QCD Phases with Table of
More informationInverse square potential, scale anomaly, and complex extension
Inverse square potential, scale anomaly, and complex extension Sergej Moroz Seattle, February 2010 Work in collaboration with Richard Schmidt ITP, Heidelberg Outline Introduction and motivation Functional
More informationDimensional Reduction in the Renormalisation Group:
Dimensional Reduction in the Renormalisation Group: From Scalar Fields to Quantum Einstein Gravity Natália Alkofer Advisor: Daniel Litim Co-advisor: Bernd-Jochen Schaefer 11/01/12 PhD Seminar 1 Outline
More informationHunting New Physics in the Higgs Sector
HS Hunting New Physics in the Higgs Sector SM Higgs Sector - Test of the Higgs Mechanism Oleg Kaikov KIT, Seminar WS 2015/16 Prof. Dr. M. Margarete Mühlleitner, Dr. Roger Wolf, Dr. Hendrik Mantler Advisor:
More informationAsymptotic safety of gravity and the Higgs boson mass. Mikhail Shaposhnikov Quarks 2010, Kolomna, June 6-12, 2010
Asymptotic safety of gravity and the Higgs boson mass Mikhail Shaposhnikov Quarks 2010, Kolomna, June 6-12, 2010 Based on: C. Wetterich, M. S., Phys. Lett. B683 (2010) 196 Quarks-2010, June 8, 2010 p.
More informationHigher dimensional operators. in supersymmetry
I. Antoniadis CERN Higher dimensional operators in supersymmetry with E. Dudas, D. Ghilencea, P. Tziveloglou Planck 2008, Barcelona Outline Effective operators from new physics integrating out heavy states
More informationStandard Model with Four Generations and Multiple Higgs Doublets
RGE,SDE,SM4 p. 1/2 Standard Model with Four Generations and Multiple Higgs Doublets 1st IAS-CERN School Jan 26th, 2012, Singapore Chi Xiong Institute of Advanced Studies Nanyang Technological University
More informationHIGGS-GRAVITATIONAL INTERATIONS! IN PARTICLE PHYSICS & COSMOLOGY
HIGGS-GRAVITATIONAL INTERATIONS! IN PARTICLE PHYSICS & COSMOLOGY beyond standard model ZHONG-ZHI XIANYU Tsinghua University June 9, 015 Why Higgs? Why gravity? An argument from equivalence principle Higgs:
More informationDynamic Instability of the Standard Model and the Fine-Tuning Problem. Ervin Goldfain
Dynamic Instability of the Standard Model and the Fine-Tuning Problem Ervin Goldfain Photonics CoE, Welch Allyn Inc., Skaneateles Falls, NY 13153, USA Email: ervingoldfain@gmail.com Abstract The Standard
More informationCould the Higgs Boson be the Inflaton?
Could the Higgs Boson be the Inflaton? Michael Atkins Phys.Lett. B697 (2011) 37-40 (arxiv:1011.4179) NExT Meeting March 2012, Sussex Outline Why inflation? The Higgs as the inflaton Unitarity and Higgs
More informationNTNU Trondheim, Institutt for fysikk
FY3464 Quantum Field Theory II Final exam 0..0 NTNU Trondheim, Institutt for fysikk Examination for FY3464 Quantum Field Theory II Contact: Kåre Olaussen, tel. 735 9365/4543770 Allowed tools: mathematical
More informationUniversal behaviour of four-boson systems from a functional renormalisation group
Universal behaviour of four-boson systems from a functional renormalisation group Michael C Birse The University of Manchester Results from: Jaramillo Avila and Birse, arxiv:1304.5454 Schmidt and Moroz,
More informationDynamical Locking of the Chiral and the Deconfinement Phase Transition
Dynamical Locking of the Chiral and the Deconfinement Phase Transition Jens Braun Friedrich-Schiller-University Jena Quarks, Gluons, and Hadronic Matter under Extreme Conditions St. Goar 17/03/2011 J.
More informationUltraviolet Completion of Electroweak Theory on Minimal Fractal Manifolds. Ervin Goldfain
Ultraviolet Completion of Electroweak Theory on Minimal Fractal Manifolds Ervin Goldfain Photonics CoE, Welch Allyn Inc., Skaneateles Falls, NY 13153, USA Abstract The experimental discovery of the Higgs
More informationImplications of the Higgs mass results
Implications of the Higgs mass results Giuseppe Degrassi Dipartimento di Matematica e Fisica, Università di Roma Tre, I.N.F.N. Sezione di Roma Tre Dresden, May 20th 2014 Outline The SM success and its
More informationPOST-INFLATIONARY HIGGS RELAXATION AND THE ORIGIN OF MATTER- ANTIMATTER ASYMMETRY
POST-INFLATIONARY HIGGS RELAXATION AND THE ORIGIN OF MATTER- ANTIMATTER ASYMMETRY LOUIS YANG ( 楊智軒 ) UNIVERSITY OF CALIFORNIA, LOS ANGELES (UCLA) DEC 30, 2016 4TH INTERNATIONAL WORKSHOP ON DARK MATTER,
More informationParticle 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 informationZhong-Zhi Xianyu (CMSA Harvard) Tsinghua June 30, 2016
Zhong-Zhi Xianyu (CMSA Harvard) Tsinghua June 30, 2016 We are directly observing the history of the universe as we look deeply into the sky. JUN 30, 2016 ZZXianyu (CMSA) 2 At ~10 4 yrs the universe becomes
More informationFunctional RG methods in QCD
methods in QCD Institute for Theoretical Physics University of Heidelberg LC2006 May 18th, 2006 methods in QCD motivation Strong QCD QCD dynamical symmetry breaking instantons χsb top. dofs link?! deconfinement
More informationHIGGS-CURVATURE COUPLING AND POST-INFLATIONARY VACUUM STABILITY
HIGGS-CURVATURE COUPLING AND POST-INFLATIONARY VACUUM STABILITY Francisco Torrentí, IFT UAM/CSIC with Daniel G. Figueroa and Arttu Rajantie (arxiv:1612.xxxxx) V Postgraduate Meeting on Theoretical Physics,
More informationQuantum Gravity and the Renormalization Group
Nicolai Christiansen (ITP Heidelberg) Schladming Winter School 2013 Quantum Gravity and the Renormalization Group Partially based on: arxiv:1209.4038 [hep-th] (NC,Litim,Pawlowski,Rodigast) and work in
More informationThe role of the top quark mass in the vacuum stability of the Standard Model (SM)
The role of the top quark mass in the vacuum stability of the Standard Model (SM) Angelo Raffaele Fazio Departamento de Física, Universidad Nacional de Colombia, sede Bogotà Outline New Physics (NP) decoupled
More informationOn asymptotic safety in matter-gravity systems
On asymptotic safety in matter-gravity systems Jan M. Pawlowsi Universität Heidelberg & ExtreMe Matter Institute th Bad Honnef, June 9 28 ISOQUANT SFB225 Overview!Towards apparent convergence in quantum
More informationPOST-INFLATIONARY HIGGS RELAXATION AND THE ORIGIN OF MATTER- ANTIMATTER ASYMMETRY
POST-INFLATIONARY HIGGS RELAXATION AND THE ORIGIN OF MATTER- ANTIMATTER ASYMMETRY LOUIS YANG ( 楊智軒 ) UNIVERSITY OF CALIFORNIA, LOS ANGELES (UCLA) DEC 27, 2016 NATIONAL TSING HUA UNIVERSITY OUTLINE Big
More informationChiral symmetry breaking in continuum QCD
Chiral symmetry breaking in continuum QCD Mario Mitter Ruprecht-Karls-Universität Heidelberg Trieste, September 206 M. Mitter (U Heidelberg) χsb in continuum QCD Trieste, September 206 / 20 fqcd collaboration
More informationFirst steps toward an asymptotically safe model of electroweak interactions
First steps toward an asymptotically safe model of electroweak interactions (with M. Fabbrichesi, R. Percacci, F. Bazzocchi, L. Vecchi and O. Zanusso) Alberto Tonero SISSA Trieste - Asymptotic Safety Seminar
More informationgeneration Outline Outline Motivation Electroweak constraints Selected flavor constraints in B and D sector Conclusion Nejc Košnik
th Discovery Discovery of of the the 4 4th generation generation Outline Outline Motivation Electroweak constraints Selected flavor constraints in B and D sector Conclusion 1 Introduction Introduction
More informationHiggs Physics from the Lattice Lecture 1: Standard Model Higgs Physics
Higgs Physics from the Lattice Lecture 1: Standard Model Higgs Physics Julius Kuti University of California, San Diego INT Summer School on Lattice QCD and its applications Seattle, August 8-28, 2007 Julius
More informationTheory of Elementary Particles homework VIII (June 04)
Theory of Elementary Particles homework VIII June 4) At the head of your report, please write your name, student ID number and a list of problems that you worked on in a report like II-1, II-3, IV- ).
More informationIntroduction to Renormalization Group
Introduction to Renormalization Group Alex Kovner University of Connecticut, Storrs, CT Valparaiso, December 12-14, 2013 Alex Kovner (UConn) Introduction to Renormalization Group December 12-14, 2013 1
More informationHiggs Physics from the Lattice Lecture 2: Triviality and Higgs Mass Upper Bound
Higgs Physics from the Lattice Lecture 2: Triviality and Higgs Mass Upper Bound Julius Kuti University of California, San Diego INT Summer School on Lattice QCD and its applications Seattle, August 8-28,
More informationAnalytical study of Yang-Mills theory from first principles by a massive expansion
Analytical study of Yang-Mills theory from first principles by a massive expansion Department of Physics and Astronomy University of Catania, Italy Infrared QCD APC, Paris Diderot University, 8-10 November
More informationfrom exact asymptotic safety to physics beyond the Standard Model
from exact asymptotic safety to physics beyond the Standard Model Daniel F Litim Heidelberg, 9 Mar 2017 DF Litim 1102.4624 DF Litim, F Sannino, 1406.2337 AD Bond, DF Litim, 1608.00519 AD Bond, G Hiller,
More informationThe Lambda parameter and strange quark mass in two-flavor QCD
The Lambda parameter and strange quark mass in two-flavor QCD Patrick Fritzsch Institut für Physik, Humboldt-Universität zu Berlin, Germany talk based on [arxiv:1205.5380] in collaboration with F.Knechtli,
More informationNTNU Trondheim, Institutt for fysikk
NTNU Trondheim, Institutt for fysikk Examination for FY3464 Quantum Field Theory I Contact: Michael Kachelrieß, tel. 99890701 Allowed tools: mathematical tables Some formulas can be found on p.2. 1. Concepts.
More informationCorrections to the SM effective action and stability of EW vacuum
Corrections to the SM effective action and stability of EW vacuum Zygmunt Lalak ITP Warsaw Corfu Summer Institute 2015 with M. Lewicki and P. Olszewski arxiv:1402.3826 (JHEP), arxiv:1505.05505, and to
More informationAsymptotically safe Quantum Gravity. Nonperturbative renormalizability and fractal space-times
p. 1/2 Asymptotically safe Quantum Gravity Nonperturbative renormalizability and fractal space-times Frank Saueressig Institute for Theoretical Physics & Spinoza Institute Utrecht University Rapporteur
More informationHIGGS INFLATION & VACUUM STABILITY
HIGGS INFLATION & VACUUM STABILITY Javier Rubio based on Phys. Rev. D 92, 083512 F. Bezrukov, J.R., M.Shaposhnikov Outline Could the Higgs field itself be responsible for inflation? 1. Reminder of inflation/
More informationConformal Electroweak Symmetry Breaking and Implications for Neutrinos and Dark matter
Conformal Electroweak Symmetry Breaking and Implications for Neutrinos and Dark matter Manfred Lindner Mass 2014, Odense, May 19-22, 2014 M. Lindner, MPIK Mass 2014 1 Introduction Physics Beyond the Standard
More informationG.F. Giudice. Theoretical Implications of the Higgs Discovery. DaMeSyFla Meeting Padua, 11 April 2013
Theoretical Implications of the Higgs Discovery G.F. Giudice DaMeSyFla Meeting Padua, 11 April 2013 GFG, A. Strumia, arxiv:1108.6077 J. Elias-Miró, J.R. Espinosa, GFG, G. Isidori, A. Riotto, A. Strumia,
More informationModification of Higgs Couplings in Minimal Composite Models
Modification of Higgs Couplings in Minimal Composite Models Da Liu Argonne National Laboratory With Ian Low, Carlos E. M. Wagner, arxiv:173.xxxx Motivation LHC data prefer κ t > κ g! Composite Higgs model
More informationQFT Dimensional Analysis
QFT Dimensional Analysis In h = c = 1 units, all quantities are measured in units of energy to some power. For example m = p µ = E +1 while x µ = E 1 where m stands for the dimensionality of the mass rather
More informationTHE SM VACUUM AND HIGGS INFLATION
THE SM VACUUM AND HIGGS INFLATION Javier Rubio based on arxiv:1412.3811 F. Bezrukov, J.R., M.Shaposhnikov 25th International Workshop on Weak Interactions and Neutrinos (WIN2015) A fundamental scalar ATLAS+CMS,
More informationDeconfinement and Polyakov loop in 2+1 flavor QCD
Deconfinement and Polyakov loop in 2+ flavor QCD J. H. Weber in collaboration with A. Bazavov 2, N. Brambilla, H.T. Ding 3, P. Petreczky 4, A. Vairo and H.P. Schadler 5 Physik Department, Technische Universität
More informationStability of Electroweak Vacuum in the Standard Model and Beyond
Stability of Electroweak Vacuum in the Standard Model and Beyond Takeo Moroi (Tokyo) Chigusa, TM, Shoji, PRL 119 ( 17) 211801 [1707.09301] Chigusa, TM, Shoji, work in progress PACIFIC Workshop, Hokkaido,
More informationQFT Dimensional Analysis
QFT Dimensional Analysis In the h = c = 1 units, all quantities are measured in units of energy to some power. For example m = p µ = E +1 while x µ = E 1 where m stands for the dimensionality of the mass
More informationHamiltonian Flow in Coulomb Gauge Yang-Mills Theory
Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory Universität Tübingen Institut für Theoretische Physi Auf der Morgenstelle 4 D-7076 Tübingen Germany E-mail: hugo.reinhardt@uni-tuebingen.de Marus Leder
More informationQCD chiral phase boundary from RG flows. Holger Gies. Heidelberg U.
Heidelberg U. From Micro to Macro DoF From Micro to Macro DoF UV PLM PNJL NJL Quark Meson model Quark models Bag models Skyrmions... IR From Micro to Macro DoF UV PLM PNJL NJL Quark Meson model Quark models
More informationNobuhito Maru (Kobe)
Calculable One-Loop Contributions to S and T Parameters in the Gauge-Higgs Unification Nobuhito Maru Kobe with C.S.Lim Kobe PRD75 007 50 [hep-ph/07007] 8/6/007 String theory & QFT @Kinki Univ. Introduction
More informationConstraints from the renormalisation of the minimal dark matter model
Constraints from the renormalisation of the minimal dark matter model James McKay Imperial College London in collaboration with Peter Athron and Pat Scott July 20, 2016 Outline 1. Minimal dark matter 2.
More informationLecture 12 Holomorphy: Gauge Theory
Lecture 12 Holomorphy: Gauge Theory Outline SUSY Yang-Mills theory as a chiral theory: the holomorphic coupling and the holomorphic scale. Nonrenormalization theorem for SUSY YM: the gauge coupling runs
More informationEvolution of Scalar Fields in the Early Universe
Evolution of Scalar Fields in the Early Universe Louis Yang Department of Physics and Astronomy University of California, Los Angeles PACIFIC 2015 September 17th, 2015 Advisor: Alexander Kusenko Collaborator:
More informationAttractor Structure of Gauged Nambu-Jona-Lasinio Model
Attractor Structure of Gauged ambu-jona-lasinio Model Department of Physics, Hiroshima University E-mail: h-sakamoto@hiroshima-u.ac.jp We have studied the inflation theory in the gauged ambu-jona-lasinio
More informationMeasurement of Higgs properties: sensitivity of present and future facilities
EP/TH Faculty Meeting, 1 June 2018 Measurement of Higgs properties: sensitivity of present and future facilities G.F. Giudice Traditionally, Faculty Meetings were reserved to Senior Staff Series of Faculty
More informationTheory of anomalous couplings. in Effective Field Theory (EFT)
Theory of Anomalous Couplings in Effective Field Theory (EFT) Nicolas Greiner Max Planck Institut für Physik, München aqgc Dresden, 30.9. 2.10. 2103 Motivation July 4, 2012: New particle found! (Compatible
More informationTilman Plehn. Mainz, July 2015
Testing the Universität Heidelberg Mainz, July 2015 Two problems for spontaneous gauge symmetry breaking problem 1: Goldstone s theorem SU(2) L U(1) Y U(1) Q gives 3 massless scalars problem 2: massive
More informationIntroduction to Quantum fields in Curved Spaces
Introduction to Quantum fields in Curved Spaces Tommi Markkanen Imperial College London t.markkanen@imperial.ac.uk April/June-2018 Solvalla QFT in curved spacetime 1 / 35 Outline 1 Introduction 2 Cosmological
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 informationThe Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field
The Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field Tina Katharina Herbst In Collaboration with B.-J. Schaefer and J.M. Pawlowski arxiv: 18.81 [hep-ph] (to appear in Phys. Lett. B)
More informationAsymptotic Safety in the ADM formalism of gravity
Asymptotic Safety in the ADM formalism of gravity Frank Saueressig Research Institute for Mathematics, Astrophysics and Particle Physics Radboud University Nijmegen J. Biemans, A. Platania and F. Saueressig,
More informationThe Spectral Action and the Standard Model
Ma148b Spring 2016 Topics in Mathematical Physics References A.H. Chamseddine, A. Connes, M. Marcolli, Gravity and the Standard Model with Neutrino Mixing, Adv. Theor. Math. Phys., Vol.11 (2007) 991 1090
More informationin the SM effective potential
Hints of BSM physics in the SM effective potential Zygmunt Lalak ITP Warsaw! Corfu Summer Institute 2014! with M. Lewicki and P. Olszewski arxiv:1402.3826, JHEP Outline:! SM effective potential Tunneling
More informationHow I learned to stop worrying and love the tachyon
love the tachyon Max Planck Institute for Gravitational Physics Potsdam 6-October-2008 Historical background Open string field theory Closed string field theory Experimental Hadron physics Mesons mass
More informationWhat Shall We Learn from h^3 Measurement. Maxim Perelstein, Cornell Higgs Couplings Workshop, SLAC November 12, 2016
What Shall We Learn from h^3 Measurement Maxim Perelstein, Cornell Higgs Couplings Workshop, SLAC November 12, 2016 The Shape of Things to Come LHC: spin-0, elementary-looking Higgs field This field is
More informationA Renormalization Group Primer
A Renormalization Group Primer Physics 295 2010. Independent Study. Topics in Quantum Field Theory Michael Dine Department of Physics University of California, Santa Cruz May 2010 Introduction: Some Simple
More informationHiggs Couplings and Electroweak Phase Transition
Higgs Couplings and Electroweak Phase Transition Maxim Perelstein, Cornell! ACFI Workshop, Amherst MA, September 17, 2015 Based on:! Andrew Noble, MP, 071018, PRD! Andrey Katz, MP, 1401.1827, JHEP ElectroWeak
More informationNational Nuclear Physics Summer School Lectures on Effective Field Theory. Brian Tiburzi. RIKEN BNL Research Center
2014 National Nuclear Physics Summer School Lectures on Effective Field Theory I. Removing heavy particles II. Removing large scales III. Describing Goldstone bosons IV. Interacting with Goldstone bosons
More informationNaturalness and Higgs Inflation. May at IAS HKUST Hikaru Kawai
Naturalness and Higgs Inflation May 014 at IAS HKUST Hikaru Kawai Outline SM without SUSY is very good. From string theory point of view, SUSY breaking scale can be anywhere. So the simplest guess is that
More informationAsymptotic safety in the sine Gordon model a
Asymptotic safety in the sine Gordon model a Sándor Nagy Department of Theoretical Physics, University of Debrecen Debrecen, February 23, 2015 a J. Kovács, S.N., K. Sailer, arxiv:1408.2680, to appear in
More informationUltraviolet Divergences
Ultraviolet Divergences In higher-order perturbation theory we encounter Feynman graphs with closed loops, associated with unconstrained momenta. For every such momentum k µ, we have to integrate over
More informationEffective Field Theory and EDMs
ACFI EDM School November 2016 Effective Field Theory and EDMs Vincenzo Cirigliano Los Alamos National Laboratory 1 Lecture III outline EFT approach to physics beyond the Standard Model Standard Model EFT
More informationAsymptotically Safe Gravity connecting continuum and Monte Carlo
Asymptotically Safe Gravity connecting continuum and Monte Carlo Frank Saueressig Research Institute for Mathematics, Astrophysics and Particle Physics Radboud University Nijmegen J. Biemans, A. Platania
More information