The two-loop energy-momentum tensor within the gradient-flow formalism
Robert V. Harlander, Yannick Kluth, Fabian Lange
TL;DR
This paper extends the gradient-flow formalism of the QCD energy-momentum tensor to NNLO, providing precise Wilson coefficients through advanced perturbative calculations and integral reductions.
Contribution
It presents the first NNLO calculation of the Wilson coefficients in the gradient-flow formulation of the QCD energy-momentum tensor.
Findings
Wilson coefficients computed to NNLO accuracy
Two-loop integrals reduced to master integrals
Analytical results obtained for flow-time integrals
Abstract
The gradient-flow formulation of the energy-momentum tensor of QCD is extended to NNLO perturbation theory. This means that the Wilson coefficients which multiply the flowed operators in the corresponding expression for the regular energy-momentum tensor are calculated to this order. The result has been obtained by applying modern tools of regular perturbation theory, reducing the occurring two-loop integrals, which also include flow-time integrations, to a small set of master integrals which can be calculated analytically.
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