Higgs-Yukawa model in chirally-invariant lattice field theory

Abstract

Non-perturbative numerical lattice studies of the Higgs-Yukawa sector of the standard model with exact chiral symmetry are reviewed. In particular, we discuss bounds on the Higgs boson mass at the standard model top quark mass, and in the presence of heavy fermions. We present a comprehensive study of the phase structure of the theory at weak and very strong values of the Yukawa coupling as well as at non-zero temperature.

arXiv comment23 pages, 13 figures. Invited review for the special issue of Advances in High Energy Physics (AHEP) on Very Heavy Quarks at the LHC. Published version

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• The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box
• Constraining a fourth generation of quarks: non-perturbative Higgs boson mass bounds
• A lattice study of a chirally invariant Higgs-Yukawa model including a higher dimensional ${\Phi }^6$-term
• Quasi-Monte Carlo methods for lattice systems: a first look
• An asymptotically safe SU(5) GUT
• Higgs-Yukawa model with higher dimension operators via extended mean field theory
• Dynamical Generation of Elementary Fermion Mass: First Lattice Evidence
• Higgs-Yukawa model on the lattice
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point