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

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.

16 pages. Mathematica files with details of the calculation are included

References in corpus (5)

• Parton Fragmentation Functions
• Soft-/rapidity- anomalous dimensions correspondence
• First Monte Carlo global analysis of nucleon transversity with lattice QCD constraints
• Extraction of the distribution function $h_{1T}^{\perp }$ from experimental data
• ERBL and DGLAP kernels for transversity distributions. Two-loop calculations in covariant gauge

Cited by in corpus (20)

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• Collinear matching for Sivers function at next-to-leading order
• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
• Matching of transverse momentum dependent distributions at twist-3
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• One-loop Matching for Spin-Dependent Quasi-TMDs
• Definition and evolution of transverse momentum dependent distribution of twist-three
• Transverse momentum moments
• Twist-4 T-even proton TMDs in the light-front quark-diquark model
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• Transverse Momentum Distributions of Heavy Hadrons and Polarized Heavy Quarks
• The Drell-Yan process with pions and polarized nucleons
• Rapidity-only TMD factorization at one loop
• Perturbative $T$-odd asymmetries in the Drell-Yan process revisited
• A Note on Pretzelosity TMD Parton Distribution
• Rapidity evolution of TMDs with running coupling
• Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
• Two-loop evolution kernels for colour dependent double parton distributions