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

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NN thm workaround: Settle for the chiral symmetry (Ginsparg,Wilson ‘82) (Luscher, ‘98){D,γ 5 } = aDγ 5 DThe <strong>Overlap</strong> operator (Neuberger ‘97)[D (ov) = ρ 1+ √ A ], A = D W −ρA † AD W = γ µ ∇ µ − ar2 ∇2No gauge fields ⇒ D ovpp ′ = d(p)δ pp ′At finite a, action obeys a (modified) SU(2) Lφ → Uφ,U ∈ SU(2)ψ L = ˆP − ψ → Uψ L , ¯ψ L = ¯ψP + → ¯ψ L U †ˆP ± = 1± ˆγ 5 ( a, ˆγ 5 = γ 5 1−2 ρ Dov)
Introduce pseudo-fermion fields ω.(detM[φ]) Nf= e−ω † (M † M) −N f2 ωComputational cost dominated by M[φ]ωM[φ] = D ov +P + yΦˆP + +h.c.N f odd → PHMC (Frezzotti, et al)Simulation in momentum space: FFT algorithms are O(V logV)No expansion in D ov is needed!
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: Examine the free naive Fermion Prop
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 and 40: Finite T transition(Kikukawa, et al
Page 41: ConclusionsEffects of a Heavy Fermi

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

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