Exponentiation of soft quark effects from the replica trick
Abstract In this paper, we show that multiple maximally soft (anti-)quark and gluon emissions exponentiate at the level of either the amplitude or cross-section. We first show that such emissions can be captured by introducing new soft emission operators, which serve to generalise the well-known Wil...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2024)109 |
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| author | Melissa van Beekveld Leonardo Vernazza Chris D. White |
| author_facet | Melissa van Beekveld Leonardo Vernazza Chris D. White |
| author_sort | Melissa van Beekveld |
| collection | DOAJ |
| description | Abstract In this paper, we show that multiple maximally soft (anti-)quark and gluon emissions exponentiate at the level of either the amplitude or cross-section. We first show that such emissions can be captured by introducing new soft emission operators, which serve to generalise the well-known Wilson lines describing emissions of maximally soft gluons. Next, we prove that vacuum expectation values of these operators exponentiate using the replica trick, a statistical-physics argument that has previously been used to demonstrate soft-gluon exponentiation properties in QCD. The obtained results are general, i.e. not tied to a particular scattering process. We illustrate our arguments by demonstrating the exponentiation of certain real and virtual corrections affecting subleading partonic channels in deep-inelastic scattering. |
| format | Article |
| id | doaj-art-77deaa5361b74139b00d26b13d67ea9a |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-77deaa5361b74139b00d26b13d67ea9a2025-08-20T02:11:17ZengSpringerOpenJournal of High Energy Physics1029-84792024-07-012024715810.1007/JHEP07(2024)109Exponentiation of soft quark effects from the replica trickMelissa van Beekveld0Leonardo Vernazza1Chris D. White2Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, University of OxfordINFN, Sezione di TorinoCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract In this paper, we show that multiple maximally soft (anti-)quark and gluon emissions exponentiate at the level of either the amplitude or cross-section. We first show that such emissions can be captured by introducing new soft emission operators, which serve to generalise the well-known Wilson lines describing emissions of maximally soft gluons. Next, we prove that vacuum expectation values of these operators exponentiate using the replica trick, a statistical-physics argument that has previously been used to demonstrate soft-gluon exponentiation properties in QCD. The obtained results are general, i.e. not tied to a particular scattering process. We illustrate our arguments by demonstrating the exponentiation of certain real and virtual corrections affecting subleading partonic channels in deep-inelastic scattering.https://doi.org/10.1007/JHEP07(2024)109ResummationHigher-Order Perturbative Calculations |
| spellingShingle | Melissa van Beekveld Leonardo Vernazza Chris D. White Exponentiation of soft quark effects from the replica trick Journal of High Energy Physics Resummation Higher-Order Perturbative Calculations |
| title | Exponentiation of soft quark effects from the replica trick |
| title_full | Exponentiation of soft quark effects from the replica trick |
| title_fullStr | Exponentiation of soft quark effects from the replica trick |
| title_full_unstemmed | Exponentiation of soft quark effects from the replica trick |
| title_short | Exponentiation of soft quark effects from the replica trick |
| title_sort | exponentiation of soft quark effects from the replica trick |
| topic | Resummation Higher-Order Perturbative Calculations |
| url | https://doi.org/10.1007/JHEP07(2024)109 |
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