Abstract

Transverse single-spin asymmetries are among the most intriguing observables in hadronic physics. Though such asymmetries were already measured for the first time about four decades ago, their origin is still under debate. Here we consider transverse single-spin asymmetries in semi-inclusive lepton-nucleon scattering, in nucleon-nucleon scattering, and in inclusive lepton-nucleon scattering. It is argued that the single-spin asymmetries for those three processes may be simultaneously described in perturbative QCD, where the re-scattering of the active partons plays a crucial role. A comparison of single-spin asymmetries in different reactions can also shed light on the universality of transverse momentum dependent parton correlation functions. In particular, we discuss what existing data tells us about the predicted process dependence of the Sivers function.

Highlights

  • The first evidence of a nonzero transverse single-spin asymmetry (SSA) in a hard semi-inclusive process was the observed polarization of neutral Λ-hyperons in the process p Be → Λ↑X at FermiLab.[1]

  • Transverse SSAs have been studied in semi-inclusive deep-inelastic lepton-nucleon scattering (DIS) by HERMES, COMPASS, and at JLab

  • A nonzero transverse SSA requires the interference between two amplitudes having a different phase

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Summary

Introduction

The first evidence of a nonzero transverse single-spin asymmetry (SSA) in a hard semi-inclusive process was the observed polarization (up to about 30 %) of neutral Λ-hyperons in the process p Be → Λ↑X at FermiLab.[1]. Two important transverse SSAs in semi-inclusive DIS (the Sivers effect[5] and the Collins effect6) are twist-2 observables Those SSAs can be generated by re-scattering of active partons.[7] In QCD factorization in terms of transverse momentum dependent parton distributions (TMDs), the re-scattering effects render the TMDs gauge invariant and imply a process dependence of certain TMDs.[8] While this underlying picture is very appealing from a theoretical point of view, we want to discuss how it compares with existing data. Before doing so we briefly review some features of TMDs and of the QS function

TMDs and the Qiu-Sterman Function
Semi-inclusive DIS
Nucleon-nucleon collisions
Findings
Inclusive DIS
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