TY - JOUR
T1 - Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism
AU - Gamberg, Leonard
AU - Metz, Andreas
AU - Pitonyak, Daniel
AU - Prokudin, Alexei
N1 - Funding Information:
The authors thank J. Collins for a careful reading of the manuscript, and D. Boer, J.-w. Qiu, T. Rogers, N. Sato, and W. Vogelsang for many fruitful discussions on this topic. L.G. thanks Jefferson Lab for support during sabbatical leave, where part of this work was completed. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award No. DE-FG02-07ER41460 (L.G.), No. DE-AC05-06OR23177 (A.P.), by the National Science Foundation under Contract No. PHY-1516088 (A.M.), No. PHY-1623454 (A.P.), and within the framework of the TMD Topical Collaboration.
Funding Information:
The authors thank J. Collins for a careful reading of the manuscript, and D. Boer, J.-w. Qiu, T. Rogers, N. Sato, and W. Vogelsang for many fruitful discussions on this topic. L.G. thanks Jefferson Lab for support during sabbatical leave, where part of this work was completed. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award No. DE-FG02-07ER41460 (L.G.), No. DE-AC05-06OR23177 (A.P.), by the National Science Foundation under Contract No. PHY-1516088 (A.M.), No. PHY-1623454 (A.P.), and within the framework of the TMD Topical Collaboration.
Publisher Copyright:
© 2018 The Authors
PY - 2018/6/10
Y1 - 2018/6/10
N2 - We extend the improved Collins–Soper–Sterman (iCSS) W+Y construction recently presented in [1] to the case of polarized observables, where we focus in particular on the Sivers effect in semi-inclusive deep-inelastic scattering. We further show how one recovers the expected leading-order collinear twist-3 result from a (weighted) qT-integral of the differential cross section. We are also able to demonstrate the validity of the well-known relation between the (TMD) Sivers function and the (collinear twist-3) Qiu–Sterman function within the iCSS framework. This relation allows for their interpretation as functions yielding the average transverse momentum of unpolarized quarks in a transversely polarized spin-[Formula presented] target. We further outline how this study can be generalized to other polarized quantities.
AB - We extend the improved Collins–Soper–Sterman (iCSS) W+Y construction recently presented in [1] to the case of polarized observables, where we focus in particular on the Sivers effect in semi-inclusive deep-inelastic scattering. We further show how one recovers the expected leading-order collinear twist-3 result from a (weighted) qT-integral of the differential cross section. We are also able to demonstrate the validity of the well-known relation between the (TMD) Sivers function and the (collinear twist-3) Qiu–Sterman function within the iCSS framework. This relation allows for their interpretation as functions yielding the average transverse momentum of unpolarized quarks in a transversely polarized spin-[Formula presented] target. We further outline how this study can be generalized to other polarized quantities.
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U2 - 10.1016/j.physletb.2018.03.024
DO - 10.1016/j.physletb.2018.03.024
M3 - Article
AN - SCOPUS:85045715805
VL - 781
SP - 443
EP - 454
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -