Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order

Alexey Vladimirov; Daniel Gutierrez-Reyes; Ignazio Scimemi

Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order

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arxiv 1805.07243 v1 pith:V3Q22A4H submitted 2018-05-18 hep-ph nucl-th

Daniel Gutierrez-Reyes , Ignazio Scimemi , Alexey Vladimirov This is my paper · ORCID

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keywords distributiondistributionsmatchingpretzelositytransversitydependentfunctionsmomentum

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We calculate the matching of the transversity and pretzelosity transverse momentum dependent distributions (TMD) on transversity collinear distribution at the next-to-next-to-leading order (NNLO). We find that the matching coefficient for pretzelosity distribution is zero, despite the matrix element for it is nontrivial. This result suggests that the pretzelosity matches a twist-4 distribution. The matching for transversity TMD distributions is provided for both parton distribution functions and fragmentation functions cases.

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Linearly polarised Transverse Momentum Dependent Parton Distribution Function at NNLO in QCD
hep-ph 2019-08 conditional novelty 6.0 of 10

Linearly polarized gluon TMD distributions are matched to integrated gluon and quark distributions at NNLO for the first time, with the new coefficient functions given in Eqs. (2.8) and (2.9).

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