One-loop matching for leading-twist generalised transverse-momentum-dependent distributions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913779783041024 |
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| author | Bertone, Valerio Echevarria, Miguel G. del Rio, Óscar Rodini, Simone |
| author_facet | Bertone, Valerio Echevarria, Miguel G. del Rio, Óscar Rodini, Simone |
| contents | We present the one-loop matching coefficients necessary to match all of the leading-twist generalised transverse-momentum-dependent distributions (GTMDs) onto generalised parton distributions (GPDs). Matching functions are extracted by computing the first radiative corrections to partonic bilocal correlators with staple-like Wilson lines, as appropriate for high-energy collisions. These correlators are characterised by a transverse displacement and skewed kinematics of external states. Using the proton helicity basis, they are parametrised in terms of GTMDs, which are subsequently related to leading-twist GPDs. Our results provide new insights into the complex dynamics of GTMDs generated by radiative corrections. In particular, we show that time-reversal even and odd contributions to GTMDs in the so-called ERBL region mix both under matching and evolution. Finally, we present a selection of numerical results and comment on the quantitative behaviour of GTMDs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_07576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | One-loop matching for leading-twist generalised transverse-momentum-dependent distributions Bertone, Valerio Echevarria, Miguel G. del Rio, Óscar Rodini, Simone High Energy Physics - Phenomenology We present the one-loop matching coefficients necessary to match all of the leading-twist generalised transverse-momentum-dependent distributions (GTMDs) onto generalised parton distributions (GPDs). Matching functions are extracted by computing the first radiative corrections to partonic bilocal correlators with staple-like Wilson lines, as appropriate for high-energy collisions. These correlators are characterised by a transverse displacement and skewed kinematics of external states. Using the proton helicity basis, they are parametrised in terms of GTMDs, which are subsequently related to leading-twist GPDs. Our results provide new insights into the complex dynamics of GTMDs generated by radiative corrections. In particular, we show that time-reversal even and odd contributions to GTMDs in the so-called ERBL region mix both under matching and evolution. Finally, we present a selection of numerical results and comment on the quantitative behaviour of GTMDs. |
| title | One-loop matching for leading-twist generalised transverse-momentum-dependent distributions |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.07576 |