Tensor current renormalization in the RI' scheme at four loops

J.A. Gracey

Tensor current renormalization in the RI' scheme at four loops

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arxiv 2208.14527 v1 pith:B2FW5AAR submitted 2022-08-30 hep-ph hep-lat

J.A. Gracey This is my paper · ORCID

classification hep-phhep-lat

keywords fourloopstensorarbitrarycurrentfunctionquarkschemes

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abstract

To assist the matching of lattice field theory results to the high energy continuum limit we evaluate the Green's function where the tensor quark bilinear operator is inserted at zero momentum in a quark $2$-point function for an arbitrary covariant gauge. This is carried out in both the MSbar and RI' schemes to four loops. The tensor current anomalous dimension is also calculated to four loops in both schemes for an arbitrary colour group.

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