Super-Leading Logarithms in $pp\to2$ Jets
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912126837194752 |
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| author | Becher, Thomas Hager, Patrick Martinelli, Giuliano Neubert, Matthias Schwienbacher, Dominik Stillger, Michel |
| author_facet | Becher, Thomas Hager, Patrick Martinelli, Giuliano Neubert, Matthias Schwienbacher, Dominik Stillger, Michel |
| contents | Jet observables at hadron colliders feature ''super-leading'' logarithms, double-logarithmic corrections resulting from a breakdown of color coherence due to complex phases in hard-scattering amplitudes. While these effects only arise in high orders of perturbation theory and are suppressed in the large-$N_c$ limit, they formally constitute leading logarithmic corrections to the cross sections. We present the first analysis of the corresponding contributions to a hadronic cross section, including all partonic channels and interference effects. Interestingly, some interference terms in partonic $q\bar q\to q\bar q$ scattering are only linearly suppressed in $1/N_c$. Our results for the $pp\to 2$ jets gap-between-jets cross section demonstrate the numerical importance of super-leading logarithms for small values of the veto scale $Q_0$, showing that these contributions should be accounted for in precision studies of such observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Super-Leading Logarithms in $pp\to2$ Jets Becher, Thomas Hager, Patrick Martinelli, Giuliano Neubert, Matthias Schwienbacher, Dominik Stillger, Michel High Energy Physics - Phenomenology Jet observables at hadron colliders feature ''super-leading'' logarithms, double-logarithmic corrections resulting from a breakdown of color coherence due to complex phases in hard-scattering amplitudes. While these effects only arise in high orders of perturbation theory and are suppressed in the large-$N_c$ limit, they formally constitute leading logarithmic corrections to the cross sections. We present the first analysis of the corresponding contributions to a hadronic cross section, including all partonic channels and interference effects. Interestingly, some interference terms in partonic $q\bar q\to q\bar q$ scattering are only linearly suppressed in $1/N_c$. Our results for the $pp\to 2$ jets gap-between-jets cross section demonstrate the numerical importance of super-leading logarithms for small values of the veto scale $Q_0$, showing that these contributions should be accounted for in precision studies of such observables. |
| title | Super-Leading Logarithms in $pp\to2$ Jets |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.12742 |