A lattice Higgs-Yukawa Model with Overlap Fermions - Lattice Seminar

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First order phase transitions require bosonic degrees of freedom.scalar vev. is no longer order param. (Fradkin, Shenker ‘76)In gauge-higgs models, line of 1st order, tricritical point (Laine, etal ‘96)Critical point occurs at an m H below LEP bound!yupper metastability linecritical linecritical pointlower metastability linex c0xinfinity
Finite T transition(Kikukawa, et al. ‘09): 4th generation may cause strongly 1storder EW phase trans.L 3 s ×L t <strong>lattice</strong> ⇔ grand-canonical ensemble w/ T = 1 L t.In pure φ 4 phase transition is second order (e.g. Jansen, Seuferling‘90)With scalars and SU(2) gauge fields, transition is first order (e.g.Fodor, et al. ‘95)Strategy:◮ Fix L t /a small◮ Vary κ at fixed λ and y. Find κ c .◮ Do an L t ≈ ∞ simulation using κ c ,λ,y.◮ Set the scale in the usual way. Use a to determine L t fromL t /a.
Page 1 and 2: A lattice Higgs-Yukawa Model with O
Page 3 and 4: Collaborators:◮ DESY-Zeuthen, Ger
Page 5 and 6: Motivation◮ A heavy 4th gen. of q
Page 7 and 8: The 4G is not dead:◮ Most stringe
Page 9 and 10: Two questions we will ask:◮ How d
Page 11 and 12: IntroductionExamine the Higgs-Yukaw
Page 13 and 14: UV fixed point is trivial: cutoff c
Page 15 and 16: History of Higgs-Yukawa models on t
Page 17 and 18: Examine the free naive Fermion Prop
Page 19 and 20: Introduce pseudo-fermion fields ω.
Page 21 and 22: Preconditioning : Assume SSB ansatz
Page 23 and 24: Set the scale using v phys = 246GeV
Page 25 and 26: 0.25TopBarTopCorrChiralLeftHandedGa
Page 27 and 28: OutlineMotivation/IntroductionHiggs
Page 29 and 30: Unstable states in F.V.If ‘alone
Page 31 and 32: 1.21HiggsPropagatormaxP1.00Correlat
Page 33 and 34: Perturbative CalculationsUse the sa
Page 35 and 36: 1000800700upper boundlower bound (p
Page 37: Electroweak baryongenisisWe live in
Page 41: ConclusionsEffects of a Heavy Fermi

A lattice Higgs-Yukawa Model with Overlap Fermions - Lattice Seminar

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