What can we learn from the Parton Branching method in QCD?

TL;DR

This paper reviews recent advances in the Parton Branching method for QCD, emphasizing its improvements in TMD evolution, inclusion of electroweak effects, and comparison with other formalisms, impacting precision in collider predictions.

Contribution

It introduces new developments in PB for TMD evolution, including electroweak radiation and improved Sudakov form factors, enhancing the method's accuracy and consistency.

Findings

Inclusion of photon and heavy boson radiation improves TMD modeling.

Comparison shows PB's advantages over Collins-Soper-Sterman formalism.

Enhanced accuracy in Sudakov form factors and non-perturbative modeling.

Abstract

This work reviews recent developments in the Parton Branching (PB) method, focusing on its application to Transverse Momentum Dependent (TMD) parton distributions and the implementation of TMD evolution equations in Monte Carlo generators. Key advancements include the inclusion of photon and heavy electroweak boson radiation in the evolution equations and their impact on collinear and TMD distributions. A detailed comparison of PB and Collins-Soper-Sterman formalisms highlights improvements in the accuracy of PB Sudakov form factors. The role of soft gluons, intrinsic transverse momentum, and the $z_M$ parameter in modelling non-perturbative effects is emphasized, with implications for inclusive distributions and Drell-Yan transverse momentum spectra. This review also addresses challenges in achieving consistency between forward and backward evolution.