A parton branching with transverse momentum dependent splitting functions
F. Hautmann, M. Hentschinski, L. Keersmaekers, A. Kusina, K. Kutak, A., Lelek
TL;DR
This paper introduces a novel parton branching algorithm based on transverse-momentum dependent splitting functions, verified through Monte Carlo simulations to satisfy momentum sum rules, advancing TMD parton distribution modeling.
Contribution
It develops a new algorithm for parton branching using TMD splitting functions and provides a Monte Carlo implementation to improve TMD parton distribution calculations.
Findings
Monte Carlo implementation successfully verifies momentum sum rules.
The algorithm offers a new approach to TMD parton distribution evolution.
First explicit construction of Sudakov form factors from TMD splitting functions.
Abstract
Off-shell, transverse-momentum dependent splitting functions can be defined from the high-energy limit of partonic decay amplitudes. Based on these splitting functions, we construct Sudakov form factors and formulate a new parton branching algorithm. We present a first Monte Carlo implementation of the algorithm. We use the numerical results to verify explicitly momentum sum rules for TMD parton distributions.
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