The two-loop energy-momentum tensor within the gradient-flow formalism
arXiv:1808.09837 · doi:10.1140/epjc/s10052-018-6415-7
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.
24 pages, 2 figures, 5 ancillary files. v2: References added; sign fixed in Eq.(63); minor typos fixed; main results unchanged; results in ancillary files now distinguish different quark flavors. v3: typo fixed in Eq.(43). v4: Figs. 1 and 2 replaced; analytical results unchanged