Two-loop gradient-flow renormalization of scalar QCD

SciPost Physics Core, vol. 8

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, flow-time 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 condensates 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.

Authors 4

1. Janosch Borgulat Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University

2. Nils Felten Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University

3. Robert V. Harlander Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University

4. Jonas T. Kohnen Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University