Higgs-Yukawa model in chirally-invariant lattice field theory
John Bulava, Philipp Gerhold, Karl Jansen, Jim Kallarackal, Bastian, Knippschild, C.-J. David Lin, Kei-Ichi Nagai, Attila Nagy, Kenji Ogawa

TL;DR
This paper reviews non-perturbative lattice studies of the Higgs-Yukawa sector, exploring bounds on the Higgs mass, phase structure at various couplings, and effects of heavy fermions and temperature.
Contribution
It provides a comprehensive analysis of the phase structure and Higgs mass bounds in the lattice Higgs-Yukawa model with exact chiral symmetry, including strong coupling and finite temperature effects.
Findings
Bounds on the Higgs boson mass at the top quark mass
Phase structure at weak and strong Yukawa couplings
Effects of heavy fermions and temperature on the model
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.
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