Universal Non-perturbative Functions for SIDIS and Drell-Yan Processes

TL;DR

This paper updates the non-perturbative functions used in the CSS formalism for SIDIS and Drell-Yan processes, introducing a universal form factor that reconciles previous discrepancies between data sets.

Contribution

It proposes a new universal non-perturbative form factor for TMD distributions that improves the consistency between SIDIS and Drell-Yan data within the CSS framework.

Findings

A new functional form for the non-perturbative factor is proposed.

The tension between Drell-Yan and SIDIS data is alleviated.

The analysis confirms universality of the non-perturbative functions.

Abstract

We update the well-known BLNY fit to the low transverse momentum Drell-Yan lepton pair productions in hadronic collisions, by considering the constraints from the semi-inclusive hadron production in deep inelastic scattering (SIDIS) from HERMES and COMPASS experiments. We follow the Collins-Soper-Sterman (CSS) formalism with the b_*-prescription. A universal non-perturbative form factor associated with the transverse momentum dependent quark distributions is found in the analysis with a new functional form different from that of BLNY. This releases the tension between the BLNY fit to the Drell-Yan data with the SIDIS data from HERMES/COMPASS in the CSS resummation formalism.