arXiv:1010.0243·v2·High Energy Physics — Phenomenology
On the effectiveness of threshold resummation away from hadronic endpoint
Christian W. Bauer🇺🇸 · Nicholas Daniel Dunn🇺🇸 · Andrew Hornig🇺🇸
Abstract
We parameterize the enhancement of threshold effects away from hadronic endpoint that arise due to the steeply falling nature of parton distribution functions, within the context of soft-collinear effective theory. This is accomplished in a process-independent way by directly linking the charac- teristic scale of soft and collinear radiation, \lambda, to the shape of the pdfs. This allows us quantify the power corrections to partonic threshold resummation as a function of the invariant mass and rapidity of the final state. In the context of SCET, being able to compute \lambda in a process-independent manner allows us to determine the correct scale for threshold resummation after integration with the pdfs, without any additional procedure.
Comments: Version 2, corrected several typos, and added a figure for clarification, 9 pages, 3 figures