Soft-gluon coupling and the TMD parton branching Sudakov form factor
A. Bermudez Martinez, F. Hautmann, L. Keersmaekers, A. Lelek, M. Mendizabal Morentin, S. Taheri Monfared, A.M. van Kampen

TL;DR
This paper advances the theoretical framework for TMD distribution evolution in QCD by achieving NNLL accuracy through soft-gluon coupling, enabling more precise predictions for collider physics.
Contribution
It introduces a method to attain NNLL accuracy in the parton branching framework using soft-gluon physical coupling, improving TMD evolution calculations.
Findings
Achieved NNLL accuracy in TMD evolution within the PB framework.
Provided results for TMD distributions and the Collins-Soper kernel.
Enabled future high-precision collider predictions.
Abstract
The evolution of transverse momentum dependent (TMD) distributions in Quantum Chromodynamics (QCD) can be formulated in a parton branching (PB) framework. We show that next-to-next-to-leading-logarithm (NNLL) accuracy can be achieved in this framework by using the concept of soft-gluon physical coupling. We present results for the TMD distributions and for the Collins-Soper kernel controlling rapidity evolution. The results pave the way for PB predictions at NNLL level for physical observables at the Large Hadron Collider (LHC) and future colliders.
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