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.
The shape function in field theory / Aglietti, Ugo Giuseppe. - In: NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. - ISSN 0920-5632. - STAMPA. - 96:(2000), pp. 453-458. (Intervento presentato al convegno International Euroconference in Quantum Chromodynamics: 15 Years of the QCD - Montpellier Conference (QCD 00) tenutosi a Montpellier, France nel 6-13 Jul 2000) [10.1016/S0920-5632(01)01165-3].
The shape function in field theory
AGLIETTI, Ugo Giuseppe
2000
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.| File | Dimensione | Formato | |
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