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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| Other Authors: | |
| Format: | Article |
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American Physical Society (APS)
2018
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| Online Access: | http://hdl.handle.net/1721.1/116675 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1811094424356126720 |
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| author | Waalewijn, Wouter J. Jouttenus, Teppo Tapani Stewart, Iain W Tackmann, Frank |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Waalewijn, Wouter J. Jouttenus, Teppo Tapani Stewart, Iain W Tackmann, Frank |
| author_sort | Waalewijn, Wouter J. |
| 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 | 2024-09-23T15:59:50Z |
| format | Article |
| id | mit-1721.1/116675 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T15:59:50Z |
| publishDate | 2018 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1166752022-10-02T05:39:22Z Soft function for exclusive N-Jet production at hadron colliders Waalewijn, Wouter J. Jouttenus, Teppo Tapani Stewart, Iain W Tackmann, Frank Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Jouttenus, Teppo Tapani Stewart, Iain W 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. Department of Energy (Grant DE-FG02-94ER40818) United States. Department of Energy (Grant DE-SC003916) National Science Foundation (U.S.) (Grant PHY-0705682) 2018-06-28T16:46:35Z 2018-06-28T16:46:35Z 2011-06 2011-03 2018-06-15T18:46:07Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/116675 Jouttenus, Teppo T. et al. “Soft Function for exclusiveN-Jet Production at Hadron Colliders.” Physical Review D 83, 11 (June 2011): 114030 © 2011 American Physical Society https://orcid.org/0000-0003-0248-0979 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) American Physical Society |
| spellingShingle | Waalewijn, Wouter J. Jouttenus, Teppo Tapani Stewart, Iain W Tackmann, Frank 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/1721.1/116675 https://orcid.org/0000-0003-0248-0979 |
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