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The gradient flow at higher orders in perturbation theory

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arxiv 2111.14376 v2 pith:PVCYVOVD submitted 2021-11-29 hep-lat hep-ph

Robert Harlander This is my paper
classification hep-lathep-ph
keywords gradient-flowflowadditionbetacalculationsenergy-momentumexampleexpansion
verification ladder T0 review T1 audit T2 compute T3 formal
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Various results for higher-order perturbative calculations in the gradient-flow formalism are reviewed, including the gradient-flow beta function and the small-flow-time expansion of the hadronic vacuum polarization and the energy-momentum tensor. In addition, the strategy of regions is outlined in order to obtain systematic expansions of gradient-flow integrals, for example at large and small flow times.

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Cited by 1 Pith paper

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  1. 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.

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