Non-global and rapidity logarithms in narrow jet broadening
Abstract We derive an all-order factorization theorem for the narrow jet broadening event shape, a measure of the transverse momentum in jet events. This is a non-global observable which receives logarithmically enhanced contributions associated with the large rapidity difference between soft and co...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)030 |
| _version_ | 1818522079828377600 |
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| author | Thomas Becher Rudi Rahn Ding Yu Shao |
| author_facet | Thomas Becher Rudi Rahn Ding Yu Shao |
| author_sort | Thomas Becher |
| collection | DOAJ |
| description | Abstract We derive an all-order factorization theorem for the narrow jet broadening event shape, a measure of the transverse momentum in jet events. This is a non-global observable which receives logarithmically enhanced contributions associated with the large rapidity difference between soft and collinear radiation and which is also sensitive to soft recoil effects. Our work is the first factorization analysis of an observable of this type and we show that with regard to the non-global nature, the rapidity logarithms do not constitute an essential complication since they can be tied to the jet function, which is the same as for global observables. As a consequence, the leading non-global logarithms in narrow jet broadening are encoded in the same overall factor relevant for the hemisphere soft function and light jet mass. |
| first_indexed | 2024-12-11T05:28:36Z |
| format | Article |
| id | doaj.art-4b109ee14f1b44c9b6d8d01747a8ea04 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T05:28:36Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4b109ee14f1b44c9b6d8d01747a8ea042022-12-22T01:19:29ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171011410.1007/JHEP10(2017)030Non-global and rapidity logarithms in narrow jet broadeningThomas Becher0Rudi Rahn1Ding Yu Shao2Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität BernAlbert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität BernAlbert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität BernAbstract We derive an all-order factorization theorem for the narrow jet broadening event shape, a measure of the transverse momentum in jet events. This is a non-global observable which receives logarithmically enhanced contributions associated with the large rapidity difference between soft and collinear radiation and which is also sensitive to soft recoil effects. Our work is the first factorization analysis of an observable of this type and we show that with regard to the non-global nature, the rapidity logarithms do not constitute an essential complication since they can be tied to the jet function, which is the same as for global observables. As a consequence, the leading non-global logarithms in narrow jet broadening are encoded in the same overall factor relevant for the hemisphere soft function and light jet mass.http://link.springer.com/article/10.1007/JHEP10(2017)030Effective Field TheoriesPerturbative QCDRenormalization GroupResummation |
| spellingShingle | Thomas Becher Rudi Rahn Ding Yu Shao Non-global and rapidity logarithms in narrow jet broadening Journal of High Energy Physics Effective Field Theories Perturbative QCD Renormalization Group Resummation |
| title | Non-global and rapidity logarithms in narrow jet broadening |
| title_full | Non-global and rapidity logarithms in narrow jet broadening |
| title_fullStr | Non-global and rapidity logarithms in narrow jet broadening |
| title_full_unstemmed | Non-global and rapidity logarithms in narrow jet broadening |
| title_short | Non-global and rapidity logarithms in narrow jet broadening |
| title_sort | non global and rapidity logarithms in narrow jet broadening |
| topic | Effective Field Theories Perturbative QCD Renormalization Group Resummation |
| url | http://link.springer.com/article/10.1007/JHEP10(2017)030 |
| work_keys_str_mv | AT thomasbecher nonglobalandrapiditylogarithmsinnarrowjetbroadening AT rudirahn nonglobalandrapiditylogarithmsinnarrowjetbroadening AT dingyushao nonglobalandrapiditylogarithmsinnarrowjetbroadening |