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).
Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
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abstract
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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hep-ph 1years
2019 1verdicts
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Linearly polarised Transverse Momentum Dependent Parton Distribution Function at NNLO in QCD
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).