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arXiv · 2609.16945

Matching relations for gluon TMDs up to one-loop accuracy

Alessio Carmelo Alvaro·Nanako Kato·Barbara Pasquini·Cristian Pisano·Simone Rodini
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Abstract

We present new results on the matching relations for gluon transverse momentum dependent parton distribution functions up to one-loop accuracy. At tree-level, employing the spinor formalism, we obtain these relations up to twist 3 accuracy for both T-even and T-odd distributions, including the hadron-mass corrections. At one-loop order, we extend the parton-in-parton approach to include higher-twist operators in the small-$b$ expansion. As a result, we derive for the first time the Wandzura-Wilczek relation for the worm-gear T distributions and establish a systematic method to include mass corrections at one-loop and twist-2 accuracies.

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Alessio Carmelo Alvaro, Nanako Kato, Barbara Pasquini, Cristian Pisano, Simone Rodini. 2026-09-15. Matching relations for gluon TMDs up to one-loop accuracy. https://arxiv.org/abs/2609.16945

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