Quark-mass effects in gradient-flow observables through next-to-next-to-leading order in QCD

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Abstract
A bstract: We provide results for the vacuum expectation values of the flowed action density, the quark condensate, and the quark kinetic operator in the gradient-flow formalism. We work in N F -flavor QCD, keeping the heaviest quark massive and all others massless. The vacuum expectation values of these operators are calculated numerically through next-to-next-to-leading order QCD, providing important input for the extraction of fundamental QCD parameters from lattice calculations. While the focus is on charm- and bottom-quark mass effects, we provide the results in a form that is independent of the specific quark mass.
Funding Information
  • Deutsche Forschungsgemeinschaft (396021762)

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