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Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

In this work we consider how a parton distribution function, with an explicit transverse momentum dependence can be properly defined in a regularization-scheme independent manner. We argue that by considering a factorized form of the transverse momentum dependent spectrum for the production of a heavy lepton pair in Drell-Yan reaction, one should first split the relevant soft function into two boost invariant contributions. When those soft contributions are added to the pure collinear contributions, well-defined hadronic matrix elements emerge, i.e., the transverse momentum dependent distributions. We also perform a comparison with Collins' definition.

fields

hep-ph 2

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

Event-axis TMD measurements in $e^+e^-$ and SIDIS

hep-ph · 2026-07-02 · unverdicted · novelty 7.0

Completes soft-operator formulation for thrust-axis TMD in e+e- and SIDIS, proposes nonperturbative model with event-shape dependence, resums logs, and validates against Pythia8.3 simulations.

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