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:
-
- Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
- 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}
}