Exponentiation of soft quark effects from the replica trick
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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2024
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| _version_ | 1826314813823778816 |
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| author | van Beekveld, M Vernazza, L White, CD |
| author_facet | van Beekveld, M Vernazza, L White, CD |
| author_sort | van Beekveld, M |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-09-25T04:13:24Z |
| format | Journal article |
| id | oxford-uuid:202d2354-d00f-4e3b-98ef-e56c8e7614fa |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:13:46Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:202d2354-d00f-4e3b-98ef-e56c8e7614fa2024-10-16T09:26:17ZExponentiation of soft quark effects from the replica trickJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:202d2354-d00f-4e3b-98ef-e56c8e7614faEnglishJisc Publications RouterSpringer2024van Beekveld, MVernazza, LWhite, CDIn 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. |
| spellingShingle | van Beekveld, M Vernazza, L White, CD Exponentiation of soft quark effects from the replica trick |
| 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 |
| work_keys_str_mv | AT vanbeekveldm exponentiationofsoftquarkeffectsfromthereplicatrick AT vernazzal exponentiationofsoftquarkeffectsfromthereplicatrick AT whitecd exponentiationofsoftquarkeffectsfromthereplicatrick |