Shape and soft functions of HQET and SCET in the 't Hooft Model

Simple item page
dc.creatorGrinstein, Benjamin
dc.date2006-07-13
dc.date2006-07-14
dc.date.accessioned2026-07-07T11:05:14Z
dc.date.available2026-07-07T11:05:14Z
dc.descriptionThe main application of Heavy Quark Effective Theory (HQET) and of Soft Collinear Effective Theory (SCET) is in establishing factorization theorems for exclusive and semi-inclusive decays of heavy mesons. However, the calculation of the soft factors from the HQET or SCET factorization relations is, as usual, impeded by the non-perturbative aspect of the strong interactions. In the hope of gaining some insights into some of these quantities we compute them in the 't Hooft model. We find that the B-meson shape function is exactly given by the square of the B-meson light-cone wave-function. The structure of the B-pi structure function is more complicated: it is given by the product of wave-functions or by a resonant sum depending on the kinematics. The result simplifies dramatically in the chiral limit, where it can be compared with general arguments based on Heavy Meson-Chiral Perturbation theory. No attempt is made to use these results for applications to phenomenology.
dc.description17 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0607159
dc.identifierhttp://arxiv.org/abs/hep-ph/0607159
dc.identifierNucl.Phys.B755:199-220,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.08.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189147
dc.subjectHigh Energy Physics - Phenomenology
dc.titleShape and soft functions of HQET and SCET in the 't Hooft Model
dc.typetext

Files

Collections

arXiv