Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering
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| Format: | Preprint |
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2025
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| _version_ | 1866915352411111424 |
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| author | Capatti, Zeno Huber, Lucien Ruf, Michael |
| author_facet | Capatti, Zeno Huber, Lucien Ruf, Michael |
| contents | We introduce a perturbative model that accounts for the contribution of multi-partonic interactions to collider observables. A key feature of this multi-parton model is that cross sections are organised in terms of building blocks that are separately infrared-finite in virtue of the KLN theorem. We find compact expressions for these building blocks in terms of double discontinuities of Feynman-type integrals obtained by endowing a vacuum graph with additional topological information. The framework is applied to the computation of next-to-leading order structure functions in deep inelastic scattering. We comment on the scale dependence of these structure functions and discuss the possibility of relating them by a scheme change to those computed in the parton model. Finally we lay down next steps for analogous computations for deep inelastic scattering at NNLO and Drell-Yan at NLO. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_16489 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering Capatti, Zeno Huber, Lucien Ruf, Michael High Energy Physics - Phenomenology High Energy Physics - Theory We introduce a perturbative model that accounts for the contribution of multi-partonic interactions to collider observables. A key feature of this multi-parton model is that cross sections are organised in terms of building blocks that are separately infrared-finite in virtue of the KLN theorem. We find compact expressions for these building blocks in terms of double discontinuities of Feynman-type integrals obtained by endowing a vacuum graph with additional topological information. The framework is applied to the computation of next-to-leading order structure functions in deep inelastic scattering. We comment on the scale dependence of these structure functions and discuss the possibility of relating them by a scheme change to those computed in the parton model. Finally we lay down next steps for analogous computations for deep inelastic scattering at NNLO and Drell-Yan at NLO. |
| title | Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.16489 |