Intrinsic parton motion soft mechanisms and the longitudinal spin asymmetry A_LL in high energy pp -> pi X
M. Anselmino (1), M. Boglione (1), U. D'Alesio (2,3), E. Leader (2,4),, S. Melis (1,2), F. Murgia (3) ((1) University, INFN, Torino, Italy, (2), University of Cagliari, Italy, (3) INFN, Cagliari, Italy, (4) Imperial, College, London, U.K.)

TL;DR
This paper investigates whether soft mechanisms like Collins, Sivers, and Boer-Mulders significantly influence the longitudinal spin asymmetry A_LL in high energy proton-proton collisions, concluding their impact is negligible and supporting small gluon polarization.
Contribution
It provides a detailed analysis showing that soft mechanisms do not significantly affect A_LL, reinforcing the evidence for small gluon polarization in the proton.
Findings
Soft mechanisms have negligible influence on A_LL
Results support small gluon polarization in protons
Large positive gluon polarization is disfavored
Abstract
The longitudinal double spin asymmetry A_LL in the reaction pp --> pi X has been measured at RHIC with extremely interesting consequences. If the gluon polarization in a proton were as big as needed to resolve the famous "spin crisis" then A_LL would be large and positive. Latest RHIC results indicate that A_LL is small and disfavour large positive values of the gluon polarization. We examine whether the soft mechanisms (Collins, Sivers, Boer-Mulders), essential for generating transverse single spin asymmetries, have any significant influence on A_LL, and whether they could alter the conclusion that the gluon polarization is necessarily small. It turns out that the contribution from these effects is essentially negligible.
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