Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 443-454 |
| Number of pages | 12 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 781 |
| DOIs | |
| State | Published - Jun 10 2018 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
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Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism. / Gamberg, Leonard; Metz, Andreas; Pitonyak, Daniel; Prokudin, Alexey.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 781, 10.06.2018, p. 443-454.Research output: Contribution to journal › Article
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, Alexey
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
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 -