Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order

Abstract

The partons' transverse momentum can be explored with QCD lattice simulations by studying the quasi-transverse-momentum-dependent parton distribution functions (qTMDPDFs), which are factorized in terms of physical TMDPDFs and soft factors in the limit of the large hadron's momentum. We present the next-to-next-to-leading order (NNLO) calculation of the coefficient function for this factorization. Together with already known expressions for anomalous dimensions, this result allows analysis of lattice data at NNLO perturbative accuracy.

arXiv comment8 pages, 2 figures; v2: N3LO logarithms added in appendix; v3: Corrected misprint on (33), and misprints

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