Abstract
Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function in the end-point region directly in momentum space. An explicit all-order formula is derived, which expresses the short-distance coefficient function in the convolution in terms of Wilson coefficients and anomalous dimensions defined in the effective theory. Contributions associated with the physical scales and 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.
- Received 4 May 2006
DOI:https://doi.org/10.1103/PhysRevLett.97.082001
©2006 American Physical Society