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

*Y.J.D. Chu, K. Jansen, B. Knippschild, C.J.D. Lin, A. Nagy*

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf

**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.