An application of transverse-momentum-dependent evolution equations in QCD

TL;DR

This paper investigates solutions to $k_t$-dependent evolution equations in QCD, demonstrating their effectiveness in modeling transverse momentum spectra in Semi-Inclusive DIS and supporting factorization properties.

Contribution

It introduces and analyzes $k_t$-dependent evolution equations, showing their successful application to experimental data and their role in understanding factorization in Semi-Inclusive DIS.

Findings

Encouraging agreement with experimental transverse momentum spectra

Supports factorization properties of Semi-Inclusive DIS cross-sections

Lays groundwork for further development of evolution equations

Abstract

The properties and behaviour of the solutions of the recently obtained $k_t$-dependent evolution equations are investigated. When used to reproduce transverse momentum spectra of hadrons in Semi-Inclusive DIS, an encouraging agreement with data is found. The present analysis also supports at the phenomenological level the factorization properties of the Semi-Inclusive DIS cross-sections in terms of $k_t$-dependent distributions. Further improvements and possible developments of the proposed evolution equations are envisaged.