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

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Additional tricksFourier Accleration (Batrouni et al. ‘85) : longer MC time for lowp modesπ † π2 → ∑ pπ † π2m(p) , m(p) = 1 4 〈|F p[φ,ω]| 2 〉, τ p =τ√m(p)C(W)/2Γ(0)403530252015105No Four. accel.With Four. accel.Eff. traj. length boost 1/ √ m(p)1210864200102030405060Window size W708090002 4 6 8 10 12 14Squared <strong>lattice</strong> momentum ˆp 2(Gerhold ‘10)
Preconditioning : Assume SSB ansatzφ v = vˆφ, Q = M[φ v ] −1 , detM † M = detM † Q † QMCond. number of the product is not the produt of the cond. nums.!Condition number reduced by ∼ 100−1000100000cond(MM † )cond(MQQ † M † )cond(RNR 2 N † R)1000cond(MM † )cond(MQQ † M † )cond(RNR 2 N † R)Condition number100001000100Condition number10010100100 200 300 400 500 600 7000100 200 300 400 500 600 700(Gerhold, ‘10)Configuration index i MCConfiguration index i MC
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: Introduce pseudo-fermion fields ω.
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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