Towards general scalar-Yukawa renormalisation group equations at three-loop order
High Energy Physics - Theory
2021-11-09 v3
Abstract
For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the scheme are investigated at three-loop order in perturbation theory. Collecting literature results, general expressions are obtained for field anomalous dimensions, Yukawa interactions, as well as fermion masses. The renormalisation group evolution of scalar quartic, cubic and mass terms is determined up to a few unknown coefficients. The combined results are applied to compute the renormalisation group evolution of the gaugeless Litim-Sannino model.
Cite
@article{arxiv.2101.05823,
title = {Towards general scalar-Yukawa renormalisation group equations at three-loop order},
author = {Tom Steudtner},
journal= {arXiv preprint arXiv:2101.05823},
year = {2021}
}
Comments
v2: correct error in quartic RGEs, add example, match version to be published; v3: fix typos and computational errors