Threshold Resummation in Momentum Space from Effective Field Theory

Thomas Becher and Matthias Neubert
Phys. Rev. Lett. 97, 082001 – Published 21 August 2006

Abstract

Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F2(x,Q2) in the end-point region x1 directly in momentum space. An explicit all-order formula is derived, which expresses the short-distance coefficient function C in the convolution F2=Cϕq in terms of Wilson coefficients and anomalous dimensions defined in the effective theory. Contributions associated with the physical scales Q2 and Q2(1x) are separated from nonperturbative hadronic physics in a transparent way. A crucial ingredient to the momentum-space resummation is the exact solution to the integro-differential evolution equation for the jet function, which is derived. The methods developed in this Letter can be applied to many other hard QCD processes.

  • Figure
  • Received 4 May 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.082001

©2006 American Physical Society

Authors & Affiliations

Thomas Becher1 and Matthias Neubert2

  • 1Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA
  • 2Institute for High-Energy Phenomenology, Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York 14853, USA

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Issue

Vol. 97, Iss. 8 — 25 August 2006

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