Threshold Resummation in Momentum Space from Effective Field Theory

Details Threshold Resummation in Momentum Space from Effective Field Theory Threshold Resummation in Momentum Space from Effective Field Theory

2006-05-04

arxiv.org/abs/hep-ph/0605050v2

Phys.Rev.Lett.97:082001,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure. Version to appear in PRL

Scientific paper

10.1103/PhysRevLett.97.082001

Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F_2(x,Q^2) in the endpoint region x->1 directly in momentum space. An explicit all-order formula is derived, which expresses the short-distance coefficient function C in the convolution F_2=C*phi_q in terms of Wilson coefficients and anomalous dimensions defined in the effective theory. Contributions associated with the physical scales Q^2 and Q^2(1-x) are separated from non-perturbative hadronic physics in a transparent way. A crucial ingredient to the momentum-space resummation is the exact solution to the integro-differential evolution equation of the jet function, which is derived. The methods developed in this Letter can be applied to many other hard QCD processes.

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