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Factorization theorem for quasi-TMD distributions with kinematic power corrections

Alejandro Bris Cuerpo, Arturo Arroyo-Castro, and Alexey Vladimirov

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Phys. Rev. D 114, 034028 – Published 12 August, 2026

DOI: https://doi.org/10.1103/6l3x-7phx

Abstract

We derive the factorization theorem for the quasi–transverse-momentum-dependent (quasi-TMD) correlator, including kinematic power corrections to all orders. The resulting expression involves only twist-two TMD distributions and is frame invariant. As in the leading-power approximation, the reduced soft factor factorizes multiplicatively; however, in contrast, the TMD evolution factor is not multiplicative but enters as a convolution with the nonperturbative TMD distribution. We present a numerical estimate of the difference between the derived expression and the leading-power approximation, finding it to be of the order of tens of percentages for current lattice simulations. We also demonstrate that the inclusion of these corrections improves the agreement between phenomenological extractions of the Collins-Soper kernel and lattice results.

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Phys. Rev. D 114, 034028– Published 12 August, 2026
  • Received 10 April 2026
  • Accepted 15 July 2026
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