Evolution of the helicity and transversity Transverse-Momentum-Dependent parton distributions
Alessandro Bacchetta, Alexei Prokudin
TL;DR
This paper investigates how the helicity and transversity transverse-momentum-dependent parton distributions evolve with energy scale and rapidity cutoff in quantum chromodynamics, crucial for accurate phenomenological modeling.
Contribution
It introduces a comprehensive framework for the QCD evolution of polarized TMDs, including their dependence on transverse momentum, factorization scale, and rapidity cutoff.
Findings
Derived evolution equations for polarized TMDs
Clarified the dependence on factorization scale and rapidity cutoff
Provided insights for phenomenological applications
Abstract
We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions (TMDs), we describe their dependence on the factorization scale and rapidity cutoff, which is essential for phenomenological applications.
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