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The two-loop energy-momentum tensor within the gradient-flow formalism

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arxiv 1808.09837 v4 pith:GDTBCPLR submitted 2018-08-29 hep-lat hep-ph

Robert V. Harlander , Yannick Kluth , Fabian Lange This is my paper · ORCID
classification hep-lathep-ph
keywords energy-momentumtensorcalculatedgradient-flowintegralsperturbationregulartheory
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. One-loop matching of the LEFT to the QCD gradient flow

    hep-ph 2026-01 conditional novelty 7.0 of 10

    All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.

  2. A new approach to quark mass determination using the gradient flow

    hep-lat 2025-06 conditional novelty 7.0 of 10

    The MS quark mass can be extracted by matching lattice data to ratios of flowed quark bilinear VEVs, and this paper provides the required next-to-leading-order expressions with full mass dependence.

  3. Gradient flow for parton distribution functions: first application to the pion

    hep-lat 2025-09 conditional novelty 6.0 of 10

    Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.

  4. Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis

    hep-ph 2026-08 conditional novelty 4.0 of 10

    This paper critiques reducible-basis renormalization of the QCD trace anomaly, arguing it introduces unphysical scheme dependence and that the standard whole-anomaly decomposition is the only symmetry-allowed choice.

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