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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{alvaro2026matching,
  title = {{Matching relations for gluon TMDs up to one-loop accuracy}},
  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.2609.16945},
  eprint = {2609.16945},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16945},
}
RIS
TY  - UNPB
TI  - Matching relations for gluon TMDs up to one-loop accuracy
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.2609.16945
UR  - https://arxiv.org/abs/2609.16945
AB  - 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.
ER  -