Finite Size Scaling of the Higgs-Yukawa Model near the Gaussian Fixed Point

Abstract

We study the scaling properties of Higgs-Yukawa models. Using the technique of Finite-Size Scaling, we are able to derive scaling functions that describe the observables of the model in the vicinity of a Gaussian fixed point. A feasibility study of our strategy is performed for the pure scalar theory in the weak-coupling regime. Choosing the on-shell renormalisation scheme gives us an advantage to fit the scaling functions against lattice data with only a small number of fit parameters. These formulae can be used to determine the universality of the observed phase transitions, and thus play an essential role in future investigations of Higgs-Yukawa models, in particular in the strong Yukawa coupling region.

Comments: 7 pages, 3 figures, talk presented at the 34th International Symposium on Lattice Field Theory (LATTICE 2016), 24-30 July 2016, University of Southampton, UK