Soft function for exclusive N-jet production at hadron colliders
The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure, these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section fully differential in the mass of each jet, and compute the c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/65823 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1811070701579272192 |
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| author | Jouttenus, Teppo Tapani Tackmann, Frank Waalewijn, Wouter J. Stewart, Iain W |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Jouttenus, Teppo Tapani Tackmann, Frank Waalewijn, Wouter J. Stewart, Iain W |
| author_sort | Jouttenus, Teppo Tapani |
| collection | MIT |
| description | The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure, these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section fully differential in the mass of each jet, and compute the corresponding soft function at next-to-leading order (NLO). The ultraviolet divergences are analytically extracted by exploiting hemispheres for interactions between each pair of hard partons, leaving only convergent integrals that are sensitive to the precise boundaries. This hemisphere decomposition can also be applied to other N-jet soft functions, including other observables. For N-jettiness, the final result for the soft function involves stable one-dimensional numerical integrals, and all ingredients are now available to extend NLO cross sections to resummed predictions at next-to-next-to-leading logarithmic order. |
| first_indexed | 2024-09-23T08:40:12Z |
| format | Article |
| id | mit-1721.1/65823 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:40:12Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/658232023-02-26T04:19:36Z Soft function for exclusive N-jet production at hadron colliders Jouttenus, Teppo Tapani Tackmann, Frank Waalewijn, Wouter J. Stewart, Iain W Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Stewart, Iain Jouttenus, Teppo Tapani Stewart, Iain Tackmann, Frank The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure, these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section fully differential in the mass of each jet, and compute the corresponding soft function at next-to-leading order (NLO). The ultraviolet divergences are analytically extracted by exploiting hemispheres for interactions between each pair of hard partons, leaving only convergent integrals that are sensitive to the precise boundaries. This hemisphere decomposition can also be applied to other N-jet soft functions, including other observables. For N-jettiness, the final result for the soft function involves stable one-dimensional numerical integrals, and all ingredients are now available to extend NLO cross sections to resummed predictions at next-to-next-to-leading logarithmic order. United States. Dept. of Energy. Office of Nuclear Physics (Grant no. DE-FG02-94ER40818) United States. Dept. of Energy. (Grant no. DE-SC003916) National Science Foundation (U. S.) (LHC-TI grant no. PHY-0705682) 2011-09-13T20:19:29Z 2011-09-13T20:19:29Z 2011-06 2011-03 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/65823 Jouttenus, Teppo et al. “Soft Function for Exclusive N-jet Production at Hadron Colliders.” Physical Review D 83.11 (2011) : n. pag. © 2011 American Physical Society https://orcid.org/0000-0003-0248-0979 en_US http://dx.doi.org/10.1103/PhysRevD.83.114030 Physical review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Jouttenus, Teppo Tapani Tackmann, Frank Waalewijn, Wouter J. Stewart, Iain W Soft function for exclusive N-jet production at hadron colliders |
| title | Soft function for exclusive N-jet production at hadron colliders |
| title_full | Soft function for exclusive N-jet production at hadron colliders |
| title_fullStr | Soft function for exclusive N-jet production at hadron colliders |
| title_full_unstemmed | Soft function for exclusive N-jet production at hadron colliders |
| title_short | Soft function for exclusive N-jet production at hadron colliders |
| title_sort | soft function for exclusive n jet production at hadron colliders |
| url | http://hdl.handle.net/1721.1/65823 https://orcid.org/0000-0003-0248-0979 |
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