Higgs-Yukawa model on the lattice

TL;DR

This paper reports on lattice calculations of the Higgs-Yukawa model, exploring phase transitions with higher-dimensional operators and applying finite-size scaling near the Gaussian fixed point, using overlap fermions and analytical techniques.

Contribution

It introduces new lattice simulation results for the Higgs-Yukawa model, including phase transition analysis with dimension-six operators and finite-size scaling near the Gaussian fixed point.

Findings

Evidence of first-order thermal phase transitions with dimension-six operators.

Analytical and numerical results for finite-size scaling in the scalar sector.

Progress in implementing chiral symmetry with overlap fermions.

Abstract

We present results from two projects on lattice calculations for the Higgs-Yukawa model. First we report progress on the search of first-order thermal phase transitions in the presence of a dimension-six operator, with the choices of bare couplings that lead to viable phenomenological predictions. In this project the simulations are performed using overlap fermions to implement the required chiral symmetry. Secondly, our study for applying finite-size scaling techniques near the Gaussian fixed point of the Higgs-Yukawa model is presented. We discuss the analytical formulae for the Higgs Yukawa model and show results for a first numerical study in the pure $O(4)$ scalar sector of the theory.