The role of angular ordering condition in Parton Branching transverse momentum dependent (TMD) PDFs and DY transverse momentum spectrum at LHC

TL;DR

This paper investigates how the angular ordering condition in the Parton Branching approach influences TMD PDFs and the Drell-Yan transverse momentum spectrum at the LHC, highlighting its importance in low transverse momentum predictions.

Contribution

It introduces the impact of angular ordering in the PB evolution of TMD PDFs and compares it with the KMRW method for improved Drell-Yan spectrum predictions.

Findings

Angular ordering significantly affects low transverse momentum TMDs.

PB approach with angular ordering improves Drell-Yan spectrum accuracy.

Comparison shows differences between PB and KMRW methods.

Abstract

We discuss the parton branching (PB) evolution equation for transverse momentum dependent (TMD) parton distribution functions (PDFs), especially we concentrate on the angular ordering constrain and its effect on the TMD distributions. We discuss application of the PB TMDs to precise prediction of Drell-Yan transverse momentum spectrum at LHC, stressing the role of angular ordering in the low transverse momentum region. We compare the PB implementation of the angular ordering condition with the Kimber-Martin-Ryskin-Watt (KMRW), both at the analytical and numerical level.