RT Journal Article
T1 Matching of transverse momentum dependent distributions at twist-3
A1 Scimemi, Ignazio
A1 Vladimirov, Alexey
AB We derive the leading order matching of the quark generated polarized transverse momentum dependent (TMD) distributions onto the collinear functions at small values of the transverse distance. Starting from the very definition of the TMD operator and performing the light-cone operator product expansion up to twist-3 order, we evaluate each distribution directly in position space. We primarily consider the cases of Sivers, Boer-Mulders and worm-gear functions. The effects of the TMD process dependence on the matching are explicitly shown. We also discuss the moments of TMD distributions which can be relevant for lattice calculations.
PB Springer
SN 1434-6044
YR 2018
FD 2018-10-03
LK https://hdl.handle.net/20.500.14352/12930
UL https://hdl.handle.net/20.500.14352/12930
LA eng
NO ©SpringerWe greatly acknowledge V.Braun and A.Manashov for numerous discussions on details of higher twist calculus. We also thank Y. Koike for pointing out a mistake in the quark mass term that was in the initial version of the manuscript. I.S. is supported by the Spanish MECD grant FPA2016-75654-C2-2-P and the group UPARCOS.
NO Ministerio de Educación, Cultura y Deporte (MECD)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 6 abr 2025