Collins JGamberg LProkudin ARogers T.CSato NWang B.2022-11-152022-11-15201624700010https://www.scopus.com/inward/record.uri?eid=2-s2.0-84982793342&doi=10.1103%2fPhysRevD.94.034014&partnerID=40&md5=a2764f0fbc235d6a19cd2bd4970ec5f1https://scholars.lib.ntu.edu.tw/handle/123456789/625094We construct an improved implementation for combining transverse-momentum-dependent (TMD) factorization and collinear factorization. TMD factorization is suitable for low transverse momentum physics, while collinear factorization is suitable for high transverse momenta and for a cross section integrated over transverse momentum. The result is a modified version of the standard W+Y prescription traditionally used in the Collins-Soper-Sterman (CSS) formalism and related approaches. We further argue that questions regarding the shape and Q dependence of the cross sections at lower Q are largely governed by the matching to the Y term. © 2016 American Physical Society.Relating transverse-momentum-dependent and collinear factorization theorems in a generalized formalismjournal article10.1103/PhysRevD.94.0340142-s2.0-84982793342