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Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD

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arxiv 2305.11824 v2 pith:WCSHAX4O submitted 2023-05-19 hep-lat hep-ph

Constantia Alexandrou , Simone Bacchio , Krzysztof Cichy , Martha Constantinou , Xu Feng , Karl Jansen , Chuan Liu , Aniket Sen
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Gregoris Spanoudes Fernanda Steffens Jacopo Tarello
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classification hep-lathep-ph
keywords operatorsmixingrenormalizationschemeasymmetriclatticeoperatorresults
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Staple-shaped Wilson line operators are necessary for the study of transverse momentum-dependent parton distribution functions (TMDPDFs) in lattice QCD and beyond. In this work, we study the renormalization of such operators in the general case of an asymmetric staple. We analyze the mixing pattern of these operators using their symmetry properties, where we find that the possible mixing is restricted within groups of four operators. We then present numerical results using the regularization independent momentum subtraction (RI/MOM) scheme to study the importance of mixing using one operator in particular, the $\gamma_0$ operator. Based on these results, we consider the short distance ratio (SDR) scheme, which is desirable in the absence of mixing. Finally, we investigate a variant of the RI/MOM scheme, where the renormalization factors are computed at short distances.

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Cited by 3 Pith papers

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