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Title: Threshold Resummation in Momentum Space from Effective Field Theory

Abstract

Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F{sub 2}(x,Q{sup 2}) in the end-point region x{yields}1 directly in momentum space. An explicit all-order formula is derived, which expresses the short-distance coefficient function C in the convolution F{sub 2}=C(multiply-in-circle sign){phi}{sub q} in terms of Wilson coefficients and anomalous dimensions defined in the effective theory. Contributions associated with the physical scales Q{sup 2} and Q{sup 2}(1-x) 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.

Authors:
 [1];  [2]
  1. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
  2. Institute for High-Energy Phenomenology, Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York 14853 (United States)
Publication Date:
OSTI Identifier:
20860711
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 97; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevLett.97.082001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DEEP INELASTIC SCATTERING; EQUATIONS; EVOLUTION; EXACT SOLUTIONS; HADRONS; QUANTUM CHROMODYNAMICS; STRUCTURE FUNCTIONS

Citation Formats

Becher, Thomas, and Neubert, Matthias. Threshold Resummation in Momentum Space from Effective Field Theory. United States: N. p., 2006. Web. doi:10.1103/PHYSREVLETT.97.082001.
Becher, Thomas, & Neubert, Matthias. Threshold Resummation in Momentum Space from Effective Field Theory. United States. https://doi.org/10.1103/PHYSREVLETT.97.082001
Becher, Thomas, and Neubert, Matthias. 2006. "Threshold Resummation in Momentum Space from Effective Field Theory". United States. https://doi.org/10.1103/PHYSREVLETT.97.082001.
@article{osti_20860711,
title = {Threshold Resummation in Momentum Space from Effective Field Theory},
author = {Becher, Thomas and Neubert, Matthias},
abstractNote = {Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F{sub 2}(x,Q{sup 2}) in the end-point region x{yields}1 directly in momentum space. An explicit all-order formula is derived, which expresses the short-distance coefficient function C in the convolution F{sub 2}=C(multiply-in-circle sign){phi}{sub q} in terms of Wilson coefficients and anomalous dimensions defined in the effective theory. Contributions associated with the physical scales Q{sup 2} and Q{sup 2}(1-x) 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.},
doi = {10.1103/PHYSREVLETT.97.082001},
url = {https://www.osti.gov/biblio/20860711}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 8,
volume = 97,
place = {United States},
year = {Fri Aug 25 00:00:00 EDT 2006},
month = {Fri Aug 25 00:00:00 EDT 2006}
}