Unified description of Sivers and Boer-Mulders asymmetries from twist-3 correlations

TL;DR

This paper calculates twist-3 quark-gluon correlation functions for protons and pions using light-front wave functions, providing a unified theoretical description of Sivers and Boer-Mulders asymmetries consistent with experimental data.

Contribution

It introduces the first calculation of Efremov-Teryaev-Qiu-Sterman functions from a light-front Hamiltonian approach, unifying the description of two key spin asymmetries.

Findings

Predictions align with recent experimental extractions.

Provides a unified theoretical framework for Sivers and Boer-Mulders asymmetries.

Demonstrates the effectiveness of light-front Hamiltonian methods in spin physics.

Abstract

We present the first calculation of the Efremov-Teryaev-Qiu-Sterman functions and associated twist-3 quark-gluon correlation functions for both the proton and pion. These functions are determined using the light-front wave functions obtained by diagonalizing a light-front effective Hamiltonian within a Fock space truncated to include a dynamical gluon. We compute the twist-3 correlations in the hard-pole region and extrapolate them to the soft-gluon pole limit. After the scale evolutions, our predictions demonstrate quantitative consistency with recent experimental extractions, providing a unified description of the Sivers and Boer-Mulders asymmetries from a light-front Hamiltonian approach.