### 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) q_{T}-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

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*781*, 443-454. https://doi.org/10.1016/j.physletb.2018.03.024

}

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 781, pp. 443-454. https://doi.org/10.1016/j.physletb.2018.03.024

**Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism.** / Gamberg, Leonard; Metz, Andreas; Pitonyak, Daniel; Prokudin, Alexey.

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.

UR - http://www.scopus.com/inward/record.url?scp=85045715805&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045715805&partnerID=8YFLogxK

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 -