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.
|Journal||Proceedings of Science|
|State||Published - 1 Jan 2016|
|Event||34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom|
Duration: 24 Jul 2016 → 30 Jul 2016