Reparametrization invariant collinear operators
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Marcantonini-2009-Reparametrization in.pdf
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Author(s) •
Marcantonini, Claudio
Stewart, Iain
Date Issued
March 2009
Journal
Physical Review D
Publisher
American Physical Society
Citation
Marcantonini, Claudio , and Iain W. Stewart. “Reparametrization invariant collinear operators.” Physical Review D 79.6 (2009): 065028. © 2009 The American Physical Society.
Version
Final published version
Abstract
In constructing collinear operators, which describe the production of energetic jets or energetic hadrons, important constraints are provided by reparametrization invariance (RPI). RPI encodes Lorentz invariance in a power expansion about a collinear direction, and connects the Wilson coefficients of operators at different orders in this expansion to all orders in αs. We construct reparametrization invariant collinear objects. The expansion of operators built from these objects provides an efficient way of deriving RPI relations and finding a minimal basis of operators, particularly when one has an observable with multiple collinear directions and/or soft particles. Complete basis of operators is constructed for pure glue currents at twist-4, and for operators with multiple collinear directions, including those appearing in e+e-→3 jets, and for pp→2 jets initiated via gluon fusion.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevD.79.065028