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Factorization and resummation for dijet invariant mass spectra

Author(s)
Bauer, Christian W.; Tackmann, Frank; Walsh, Jonathan R.; Zuberi, Saba
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Abstract
Multijet cross sections at the LHC and Tevatron are sensitive to several distinct kinematic energy scales. When measuring the dijet invariant mass mjj between two signal jets produced in association with other jets or weak bosons, mjj will typically be much smaller than the total partonic center-of-mass energy Q, but larger than the individual jet masses m, such that there can be a hierarchy of scales m<<m[subscript jj]<<Q. This situation arises in many new-physics analyses at the LHC, where the invariant mass between jets is used to gain access to the masses of new-physics particles in a decay chain. At present, the logarithms arising from such a hierarchy of kinematic scales can only be summed at the leading-logarithmic level provided by parton-shower programs. We construct an effective field theory, SCET[subscript +], which is an extension of soft-collinear effective theory that applies to this situation of hierarchical jets. It allows for a rigorous separation of different scales in a multiscale soft function and for a systematic resummation of logarithms of both m[subscript jj]/Q and m/Q. As an explicit example, we consider the invariant mass spectrum of the two closest jets in e[superscript +]e[superscript -]→3 jets. We also give the generalization to pp→N jets plus leptons relevant for the LHC.
Date issued
2012-04
URI
http://hdl.handle.net/1721.1/71662
Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Journal
Physical Review D
Publisher
American Physical Society
Citation
Bauer, Christian et al. “Factorization and Resummation for Dijet Invariant Mass Spectra.” Physical Review D 85.7 (2012). © 2012 American Physical Society
Version: Final published version
ISSN
1550-7998
1089-4918

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