Factorization theorem for quasi-TMD distributions with kinematic power corrections
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911531451547648 |
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| author | Cuerpo, Alejandro Bris Arroyo-Castro, Arturo Vladimirov, Alexey |
| author_facet | Cuerpo, Alejandro Bris Arroyo-Castro, Arturo Vladimirov, Alexey |
| contents | 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 percent 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_19833 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Factorization theorem for quasi-TMD distributions with kinematic power corrections Cuerpo, Alejandro Bris Arroyo-Castro, Arturo Vladimirov, Alexey High Energy Physics - Phenomenology High Energy Physics - Lattice 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 percent 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. |
| title | Factorization theorem for quasi-TMD distributions with kinematic power corrections |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2603.19833 |