Collinear matching for leading power gluon transverse momentum distributions
Abstract
We compute the tree-level and one-loop matching relations for leading power gluon transverse momentum dependent parton distribution functions. At tree level, working within the spinor formalism, we focus on twist-2 and twist-3 contributions, deriving the complete series of mass corrections for both T-even and T-odd distributions. At one-loop accuracy, we extend the parton-in-parton framework to include contributions beyond the leading term in the small-b expansion. Applying this methodology to the gluon sector, we obtain for the first time the Wandzura-Wilczek approximation for the gluon worm-gear T distribution. Furthermore, we develop a method to include the mass corrections in one-loop results and provide a closed-form expression for the mass series suitable for numerical implementations.
Versions
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BibTeX
@misc{alvaro2026collinear,
title = {{Collinear matching for leading power gluon transverse momentum distributions}},
author = {Alessio Carmelo Alvaro and Nanako Kato and Barbara Pasquini and Cristian Pisano and Simone Rodini},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.07516},
eprint = {2605.07516},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.07516},
}
RIS
TY - UNPB
TI - Collinear matching for leading power gluon transverse momentum distributions
AU - Alessio Carmelo Alvaro
AU - Nanako Kato
AU - Barbara Pasquini
AU - Cristian Pisano
AU - Simone Rodini
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2605.07516
UR - https://arxiv.org/abs/2605.07516
AB - We compute the tree-level and one-loop matching relations for leading power gluon transverse momentum dependent parton distribution functions. At tree level, working within the spinor formalism, we focus on twist-2 and twist-3 contributions, deriving the complete series of mass corrections for both T-even and T-odd distributions. At one-loop accuracy, we extend the parton-in-parton framework to include contributions beyond the leading term in the small-b expansion. Applying this methodology to the gluon sector, we obtain for the first time the Wandzura-Wilczek approximation for the gluon worm-gear T distribution. Furthermore, we develop a method to include the mass corrections in one-loop results and provide a closed-form expression for the mass series suitable for numerical implementations.
ER -