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Factorization and resummation for dijet invariant mass spectra

Christian W. Bauer1, Frank J. Tackmann2, Jonathan R. Walsh1, and Saba Zuberi1

  • 1Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720, USA
  • 2Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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Phys. Rev. D 85, 074006 – Published 11 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.074006

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≪mjj≪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+, 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 mjj/Q and m/Q. As an explicit example, we consider the invariant mass spectrum of the two closest jets in e+e−→3 jets. We also give the generalization to pp→N jets plus leptons relevant for the LHC.

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Phys. Rev. D 85, 074006– Published 11 April, 2012
  • Received 16 September 2011
Article part of CHORUS

© 2012 American Physical Society

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