Threshold Resummation in Momentum Space from Effective Field Theory
- 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)
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.
- OSTI ID:
- 20860711
- Journal Information:
- Physical Review Letters, Vol. 97, Issue 8; Other Information: DOI: 10.1103/PhysRevLett.97.082001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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