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Hadronic vacuum polarization using gradient flow
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abstract
The gradient-flow operator product expansion for QCD current correlators including operators up to mass dimension four is calculated through NNLO. This paves an alternative way for efficient lattice evaluations of hadronic vacuum polarization functions. In addition, flow-time evolution equations for flowed composite operators are derived. Their explicit form for the non-trivial dimension-four operators of QCD is given through order $\alpha_s^3$.
Forward citations
Cited by 2 Pith papers
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One-loop matching of the LEFT to the QCD gradient flow
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.
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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.
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