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

May 18, 2018
17 pages
Published in:
  • JHEP 07 (2018) 172
  • Published: Jul 30, 2018
e-Print:

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Abstract: (arXiv)
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.
Note:
  • 16 pages. Mathematica files with details of the calculation are included
  • NLO Computations
  • QCD Phenomenology
  • parton: distribution function
  • higher-order: 2
  • transversity
  • transverse momentum dependence
  • fragmentation function
  • collinear
  • polarization: transverse
  • higher-twist