TMD factorisation for diffractive jets in photon-nucleus interactions
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arXiv
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| Format: | Preprint |
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2024
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| author | Hauksson, S. Iancu, E. Mueller, A. H. Triantafyllopoulos, D. N. Wei, S. Y. |
| author_facet | Hauksson, S. Iancu, E. Mueller, A. H. Triantafyllopoulos, D. N. Wei, S. Y. |
| contents | Using the colour dipole picture and the colour glass condensate effective theory, we study the diffractive production of two or three jets via coherent photon-nucleus interactions at high energy. We consider the hard regime where the photon virtuality and/or the transverse momenta of the produced jets are much larger than the saturation momentum $Q_s$ of the nuclear target. We show that, despite this hardness, the leading-twist contributions are controlled by relatively large parton configurations, with transverse sizes $R\sim 1/Q_s$, which undergo strong scattering and probe gluon saturation. For exclusive dijets, this implies that both final jets have semi-hard transverse momenta ($P_\perp\sim Q_s$) and that one of them is aligned with the photon. The dominant contributions to the diffractive production of hard dijets ($P_\perp\gg Q_s$) rather come from three-jet final states, which are very asymmetric and will be referred to as 2+1 jets: two of the jets are hard, while the third one is semi-hard. We demonstrate that the leading-twist contributions to both exclusive dijets and the diffractive production of 2+1 jets admit transverse-momentum dependent (TMD) factorisation, in terms of quark and gluon diffractive TMD distribution functions, for which we obtain explicit expressions from first principles. We show that the contribution of 2+1 jets to diffractive SIDIS (semi-inclusive deep inelastic scattering) takes the form of one step in the DGLAP evolution of the quark diffractive PDF. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | TMD factorisation for diffractive jets in photon-nucleus interactions Hauksson, S. Iancu, E. Mueller, A. H. Triantafyllopoulos, D. N. Wei, S. Y. High Energy Physics - Phenomenology Nuclear Theory Using the colour dipole picture and the colour glass condensate effective theory, we study the diffractive production of two or three jets via coherent photon-nucleus interactions at high energy. We consider the hard regime where the photon virtuality and/or the transverse momenta of the produced jets are much larger than the saturation momentum $Q_s$ of the nuclear target. We show that, despite this hardness, the leading-twist contributions are controlled by relatively large parton configurations, with transverse sizes $R\sim 1/Q_s$, which undergo strong scattering and probe gluon saturation. For exclusive dijets, this implies that both final jets have semi-hard transverse momenta ($P_\perp\sim Q_s$) and that one of them is aligned with the photon. The dominant contributions to the diffractive production of hard dijets ($P_\perp\gg Q_s$) rather come from three-jet final states, which are very asymmetric and will be referred to as 2+1 jets: two of the jets are hard, while the third one is semi-hard. We demonstrate that the leading-twist contributions to both exclusive dijets and the diffractive production of 2+1 jets admit transverse-momentum dependent (TMD) factorisation, in terms of quark and gluon diffractive TMD distribution functions, for which we obtain explicit expressions from first principles. We show that the contribution of 2+1 jets to diffractive SIDIS (semi-inclusive deep inelastic scattering) takes the form of one step in the DGLAP evolution of the quark diffractive PDF. |
| title | TMD factorisation for diffractive jets in photon-nucleus interactions |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2402.14748 |