Soft function for exclusive N-Jet production at hadron colliders
Name
PhysRevD.83.114030.pdf
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Author(s)
Waalewijn, Wouter J.
Jouttenus, Teppo Tapani
Stewart, Iain W
Tackmann, Frank
Date Issued
June 2011
Journal
Physical Review D
Publisher
American Physical Society (APS)
Citation
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
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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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.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.83.114030
