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Article
Report number	hep-ph/0009214 ; CERN-TH-2000-278 ; CERN-TH-2000-278
Title	The shape function in field theory
Author(s)	Aglietti, U. (CERN)
Publication	2001
Imprint	18 Sep 2000
Number of pages	7
In:	Nucl. Phys. B, Proc. Suppl. 96 (2001) pp.453-458
In:	8th International Euroconference on Quantum Chromodynamics, Montpellier, France, 6 - 13 Jul 2000, pp.453-8
DOI	10.1016/S0920-5632(01)01165-3
Subject category	Particle Physics - Phenomenology
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.

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