TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.1.032
TI  - Two-loop gradient-flow renormalization of scalar QCD
PY  - 2025/03/21
UR  - https://scipost.org/SciPostPhysCore.8.1.032
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 1
SP  - 032
A1  - Borgulat, Janosh
AU  - Felten, Nils
AU  - Harlander, Robert
AU  - Kohnen, Jonas T.
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.8.1.032,
	title={{Two-loop gradient-flow renormalization of scalar QCD}},
	author={Janosh Borgulat and Nils Felten and Robert V. Harlander and Jonas T. Kohnen},
	journal={SciPost Phys. Core},
	volume={8},
	pages={032},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.1.032},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.1.032},
}