Low-energy theory of jet processes and PDF factorization
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915484489744384 |
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| author | Becher, Thomas Hager, Patrick Jaskiewicz, Sebastian Neubert, Matthias Schwienbacher, Dominik |
| author_facet | Becher, Thomas Hager, Patrick Jaskiewicz, Sebastian Neubert, Matthias Schwienbacher, Dominik |
| contents | The consistency of collinear factorization violation with PDF factorization has been an outstanding challenge and subject of considerable debate. In this work we demonstrate their compatibility using a factorization theorem for non-global jet observables. Our analysis relies on consistency relations derived from renormalization conditions in effective field theory. We verify these relations through an explicit computation at three-loop order and show that the double-logarithmic evolution sourcing the super-leading logarithms reduces to single-logarithmic DGLAP running below the lowest perturbative scale. The crucial ingredient reconciling the two evolutions is a perturbative Glauber contribution to the low-energy matrix elements which breaks soft-collinear factorization at the cross section level but restores PDF factorization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07082 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-energy theory of jet processes and PDF factorization Becher, Thomas Hager, Patrick Jaskiewicz, Sebastian Neubert, Matthias Schwienbacher, Dominik High Energy Physics - Phenomenology The consistency of collinear factorization violation with PDF factorization has been an outstanding challenge and subject of considerable debate. In this work we demonstrate their compatibility using a factorization theorem for non-global jet observables. Our analysis relies on consistency relations derived from renormalization conditions in effective field theory. We verify these relations through an explicit computation at three-loop order and show that the double-logarithmic evolution sourcing the super-leading logarithms reduces to single-logarithmic DGLAP running below the lowest perturbative scale. The crucial ingredient reconciling the two evolutions is a perturbative Glauber contribution to the low-energy matrix elements which breaks soft-collinear factorization at the cross section level but restores PDF factorization. |
| title | Low-energy theory of jet processes and PDF factorization |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.07082 |