The shape function in field theory

Details The shape function in field theory The shape function in field theory

2000-09-18

arxiv.org/abs/hep-ph/0009214v1

Nucl.Phys.Proc.Suppl. 96 (2001) 453-458

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 7 pages, 2 postscript figures, invited talk at the QCD 00 Euroconference, Montpellier, 6-13 July 2000

Scientific paper

10.1016/S0920-5632(01)01165-3

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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