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

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Susceptibility Fits(JB, Jansen, Nagy, in prep.):χ = A ( L −2/νs +B(κ−κ c ) 2) −γ/2 , ν = 0.68, γ = 1.38Left: L t /a = 4, Right: L t /a = 6 (at m t = 175GeV).40353025L=16fit to L=16L=20fit to L=20L=24fit to L=245045403530L=16fit to L=16L=20fit to L=20L=24fit to L=24χ20χ2515105201510500.290.2950.3κ0.3050.3100.290.2950.3κ0.3050.31L t /a T c (GeV) m t (GeV)4 517.5(2.8) 1756 509(11) 1754 1000 650compare to T c = 350GeV in the pure φ 4 .
ConclusionsEffects of a Heavy Fermion doublet can be studied for arbitrary yusing lattice techniques.◮ Higgs Boson mass bounds◮ Higgs Boson Resonance parameters (w/ m G ∼ m H /3)◮ Finite Temp. phase transitionThe Higgs mass lower bound seems to depend strongly on m q ,similiar to LO eff. potential.Finite T phase transition studies are underwayFuture Plans:◮ Examine the effects of adding D > 4 terms to the action.◮ Complete Finite Temp. study◮ Bound states?◮ Examine the effect of gauge fields.
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 and 38: Electroweak baryongenisisWe live in
Page 39: Finite T transition(Kikukawa, et al

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

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