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Calculation of transverse momentum dependent distributions beyond the leading power

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arxiv 2008.01744 v1 pith:RRNNRFLP submitted 2020-08-04 hep-ph hep-th

classification hep-phhep-th
keywords distributionsdependentdistributionmomentumtransverseaccompaniedbeyondcalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the contribution of twist-2 and twist-3 parton distribution functions to the small-$b$ expansion for transverse momentum dependent (TMD) distributions at all powers of $b$. The computation is done by the twist-decomposition method based on the spinor formalism for all eight quark TMD distributions. The newly computed terms are accompanied by the prefactor $(M^2b^2)^n$ and represent the target-mass corrections to the resummed cross-section. For the first time, a non-trivial expression for the pretzelosity distribution is derived.

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