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Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism
Gamberg, L Metz, A Pitonyak, D Prokudin, A
Gamberg, L
Metz, A
Pitonyak, D
Prokudin, A
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Journal Article
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2018-06-10
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10.1016/j.physletb.2018.03.024
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© 2018 The Authors 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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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
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