The phase structure of a chirally-invariant Higgs-Yukawa model

TL;DR

This paper investigates the phase structure of a chirally-invariant Higgs-Yukawa model, analyzing critical behavior, triviality, and potential non-Gaussian fixed points, along with initial results on Higgs boson masses and fermion correlations.

Contribution

It provides new finite-size analyses of phase transitions and compares critical exponents to the O(4) model, exploring triviality and non-Gaussian fixed points in the Higgs-Yukawa framework.

Findings

Critical exponents determined for phase transitions.

Comparison with O(4) model tests triviality.

Initial results on Higgs masses and fermion correlations.

Abstract

We present new results of our ongoing project on the investigation of the phase structure of the Higgs-Yukawa model at small and large bare Yukawa couplings. The critical exponents of the second order bulk phase transitions of this model are determined from finite-size analyses and compared to the pure O(4)-model to test for triviality and the possibility of having a non-Gaussian fixed point. In addition, we will present a first study of Higgs boson masses and fermion correlation functions.