Reparameterization Invariant Collinear Operators

Details Reparameterization Invariant Collinear Operators Reparameterization Invariant Collinear Operators

2008-09-08

arxiv.org/abs/0809.1093v2

Phys.Rev.D79:065028,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

45 pages, Journal Version, Ref. added

Scientific paper

10.1103/PhysRevD.79.065028

In constructing collinear operators, which describe the production of energetic jets or energetic hadrons, important constraints are provided by reparameterization 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 alphas. We construct reparameterization 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 are constructed for pure glue currents at twist-4, and for operators involving multiple collinear directions, including those appearing in e+e- -> 3 jets, and for pp-> 2 jets initiated via gluon-fusion.

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