One-loop matching for spin-dependent quasi-TMDs
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13130_2020_Article_13800.pdf
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Author(s)
Ebert, Markus
Schindler, Stella T
Stewart, Iain W
Zhao, Yong
Date Issued
September 2020
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Ebert, Markus A. et al., "One-loop matching for spin-dependent quasi-TMDs." Journal of High Energy Physics 2020, 9 (September 2020): 99 doi. 10.1007/JHEP09(2020)099 ©2020 Authors
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Final published version
Abstract
Transverse momentum dependent parton distribution functions (TMDPDFs) provide a unique probe of the three-dimensional spin structure of hadrons. We construct spin-dependent quasi-TMDPDFs that are amenable to lattice QCD calculations and that can be used to determine spin-dependent TMDPDFs. We calculate the short-distance coefficients connecting spin-dependent TMDPDFs and quasi-TMDPDFs at one-loop order. We find that the helicity and transversity distributions have the same coefficient as the unpolarized TMDPDF. We also argue that the same is true for pretzelosity and that this spin universality of the matching will hold to all orders in αs. Thus, it is possible to calculate ratios of these distributions as a function of longitudinal momentum and transverse position utilizing simpler Wilson line paths than have previously been considered. ©2020
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2020)099
