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arXiv · 2501.07150

Two-loop gradient-flow renormalization of scalar QCD

J. Borgulat·N. Felten·R. V. Harlander·J. T. Kohnen
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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.

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J. Borgulat, N. Felten, R. V. Harlander, J. T. Kohnen. 2025-01-13. Two-loop gradient-flow renormalization of scalar QCD. https://doi.org/10.21468/scipostphyscore.8.1.032

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