Two-loop gradient-flow renormalization of scalar QCD
Abstract
The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level. A pseudo-physical, t-dependent renormalization scheme is defined, and the corresponding renormalization constant is evaluated at the two-loop level. We also calculate the gluon action density as well as the condensate of the scalar and the fermionic quark at three-loop level in this theory. The results validate the consistency of the gradient-flow formalism in this theory and provide a further step towards applying the gradient-flow formalism to the full Standard Model.
Keywords
Cite
@article{arxiv.2501.07150,
title = {Two-loop gradient-flow renormalization of scalar QCD},
author = {J. Borgulat and N. Felten and R. V. Harlander and J. T. Kohnen},
journal= {arXiv preprint arXiv:2501.07150},
year = {2025}
}
Comments
25 pages, 5 figures, 1 ancillary file