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.
ftint: Calculating gradient-flow integrals with pySecDec
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
The program ftint is introduced which numerically evaluates dimensionally regulated integrals as they occur in the perturbative approach to the gradient-flow formalism in quantum field theory. It relies on sector decomposition in order to determine the coefficients of the individual orders in $\epsilon=(4-D)/2$, where $D$ is the space-time dimension. For that purpose, it implements an interface to the public library pySecDec. The current version works for massive and massless integrals up to three-loop level with vanishing external momenta, but the underlying method is extendable to more general cases.
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A new approach to quark mass determination using the gradient flow
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.