Finite Size Scaling of the Higgs-Yukawa Model near the Gaussian Fixed   Point
  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. 
David Y.-J. Chu, Karl Jansen, Bastian Knippschild, C.-J. David Lin,   Attila Nagy
hep-lat hep-ph