Azimuthal Correlations in the Structure Functions of polarized Dihadron Semi-Inclusive Deep Inelastic Scattering

TL;DR

This paper introduces a method to analyze azimuthal correlations in dihadron production during deep inelastic scattering, highlighting differences in structure functions related to the Sivers effect and transversity, supported by Monte Carlo simulations.

Contribution

A simple approach to access ratios of structure functions related to the Sivers effect and transversity in dihadron production is proposed and demonstrated using simulated data.

Findings

Azimuthal correlations in Sivers-like and unpolarized structure functions differ significantly.

The approach effectively distinguishes between different azimuthal asymmetries.

Results align with recent experimental findings by the COMPASS collaboration.

Abstract

Azimuthal correlations in two hadron production in deep inelastic scattering of unpolarized leptons off transversely polarized nucleon are discussed. Specifically, a simple approach for accessing ratios of structure functions corresponding to Sivers effect and transversity induced single spin azimuthal asymmetries to unpolarized structure functions is presented. This approach is then applied to a sample pseudo-data generated by a modified version of the LEPTO Monte Carlo event generator that includes the Sivers effect. Using this data it is shown, that the azimuthal correlations in the Sivers-like structure functions and the unpolarized structure functions are significantly different. Collins-like single hadron asymmetries in a dihadron sample are also discussed, for which experimental results were recently presented by the COMPASS collaboration.