Associated production of one particle and a Drell-Yan pair in hadronic collisions

TL;DR

This paper develops a collinear factorization framework for the production of a particle and a Drell-Yan pair in hadronic collisions, addressing singularities with fracture functions and providing NLO coefficient functions.

Contribution

It introduces a systematic renormalization method using fracture functions for associated production processes at NLO in QCD.

Findings

Derived a collinear factorization formula for the process.

Presented NLO coefficient functions for relevant cross-sections.

Addressed the treatment of collinear singularities with fracture functions.

Abstract

We propose a collinear factorization formula for the associated production of one particle and a Drell-Yan pair in hadronic collisions. It is shown that additional collinear singularities appearing in the next-to-leading order calculations that can not be factorized into parton and fragmentation functions are systematically renormalized by introducing fracture functions. Next-to-leading order coefficient functions for cross-sections double differential in the fractional energy of the identified hadron and lepton pair invariant mass are presented.