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Single-spin asymmetries: the Trento conventions

Alessandro Bacchetta, Umberto D'Alesio, Markus Diehl, C. Andy Miller

TL;DR

This work from the Trento workshop provides a consolidated framework for transverse-momentum dependent (TMD) functions in SIDIS, detailing standard definitions for TMD distributions (e.g., Sivers, Boer-Mulders) and fragmentation (Collins), including Wilson-line (process) dependence and SIDIS vs Drell-Yan sign relations. It also establishes Lorentz-invariant azimuthal-angle conventions for SIDIS cross sections and prescribes clear methods to construct azimuthal asymmetries and moments. By clarifying notation and conventions and highlighting differences across literature, it enables consistent comparison and interpretation of experimental and theoretical results in nucleon spin structure.

Abstract

During the workshop "Transversity: New Developments in Nucleon Spin Structure" (ECT*, Trento, Italy, 14-18 June 2004), a series of recommendations was put forward by the participants concerning definitions and notations for describing effects of intrinsic transverse momentum of partons in semi-inclusive deep inelastic scattering.

Single-spin asymmetries: the Trento conventions

TL;DR

This work from the Trento workshop provides a consolidated framework for transverse-momentum dependent (TMD) functions in SIDIS, detailing standard definitions for TMD distributions (e.g., Sivers, Boer-Mulders) and fragmentation (Collins), including Wilson-line (process) dependence and SIDIS vs Drell-Yan sign relations. It also establishes Lorentz-invariant azimuthal-angle conventions for SIDIS cross sections and prescribes clear methods to construct azimuthal asymmetries and moments. By clarifying notation and conventions and highlighting differences across literature, it enables consistent comparison and interpretation of experimental and theoretical results in nucleon spin structure.

Abstract

During the workshop "Transversity: New Developments in Nucleon Spin Structure" (ECT*, Trento, Italy, 14-18 June 2004), a series of recommendations was put forward by the participants concerning definitions and notations for describing effects of intrinsic transverse momentum of partons in semi-inclusive deep inelastic scattering.

Paper Structure

This paper contains 3 sections, 23 equations, 1 figure.

Table of Contents

  1. Definition of transverse-momentum dependent functions
  2. Azimuthal angles in semi-inclusive deep inelastic scattering
  3. Asymmetries and azimuthal moments

Figures (1)

  • Figure 1: Definition of azimuthal angles for the process (\ref{['sidis']}) in the target rest frame. $P_{h\perp}$ and $S_\perp$ are the components of $P_h$ and $S$ transverse to the photon momentum.