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

IntroductionExamine the Higgs-Yukawa sector of the standard model:L = L φ +L FL φ = 1 ∑|∂ µ φ| 2 + 1 2 2 m2 0|φ| 2 +λ|φ| 4L F =µN f ∑i=1= ∑ i¯ψ i /∂ψ i +y b ¯ψ i L φbi R +y t ¯ψ i L˜φt i R +h.c.¯ψ i M[φ]ψ i◮ Complex scalar φ is a 2 of SU(2) L◮ Fermion doublet ψ = ( tb). ψL is a 2 of SU(2) L◮ NO GAUGE FIELDS!! ⇒ GLOBAL SU(2) L symmetry