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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ArXiv ePrint: 1805.07243
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ESM1
Transversity NNLO (complete). This file contains the details of the calculation for the coefficients in equations (3.10) and (6.5). (NB 531 kb)
ESM2
Transversity NNLO (short). This file contains the final formulas for the coefficients in equations (3.10) and (6.5). (NB 185 kb)
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Gutierrez-Reyes, D., Scimemi, I. & Vladimirov, A. Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order. J. High Energ. Phys. 2018, 172 (2018). https://doi.org/10.1007/JHEP07(2018)172
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DOI: https://doi.org/10.1007/JHEP07(2018)172