The shape function in field theory
High Energy Physics - Phenomenology
2009-10-31 v1
Abstract
The shape function describes (non-perturbative) Fermi motion effects in semi-inclusive heavy flavour decay. Its renormalization properties are substantially dependent on the kind of ultraviolet regulator used. For example, the double logarithm that appears at one loop is larger by a factor 2 in dimensional regularization than in lattice regularization. We show that factorization of long-distance effects inside the shape function is achieved with any regulator considered.
Cite
@article{arxiv.hep-ph/0009214,
title = {The shape function in field theory},
author = {U. Aglietti},
journal= {arXiv preprint arXiv:hep-ph/0009214},
year = {2009}
}
Comments
Latex, 7 pages, 2 postscript figures, invited talk at the QCD 00 Euroconference, Montpellier, 6-13 July 2000