Radiative Corrections to W and Quark Propagators in the Resonance Region

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dc.creatorPassera, M.
dc.creatorSirlin, A.
dc.date1998-04-17
dc.date1998-11-16
dc.date.accessioned2026-07-07T11:35:28Z
dc.date.available2026-07-07T11:35:28Z
dc.descriptionWe discuss radiative corrections to W and quark propagators in the resonance region, |s-M^2| \lsim M*Gamma. We show that conventional mass renormalization, when applied to photonic or gluonic corrections, leads in next to leading order (NLO) to contributions proportional to [M*Gamma/(s-M^2)]^n, (n=1,2...), i.e. to a non-convergent series in the resonance region, a difficulty that affects all unstable particles coupled to massless quanta. A solution of this problem, based on the concepts of pole mass and width, is presented. It elucidates the issue of renormalization of amplitudes involving unstable particles and automatically circumvents the problem of apparent on-shell singularities. The roles of the Fried-Yennie gauge and the Pinch Technique prescription are discussed. Because of special properties of the photonic and gluonic contributions, and in contrast with the Z case, the gauge dependence of the conventional on-shell definition of mass is unbounded in NLO. The evaluations of the width in the conventional and pole formulations are compared and shown to agree in NLO but not beyond.
dc.description19 pages, 7 figures, LaTeX (uses epsfig). Slight rewording of the abstract and one of the sentences of the text. Minor misprints corrected. To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/9804309
dc.identifierhttp://arxiv.org/abs/hep-ph/9804309
dc.identifierPhys.Rev.D58:113010,1998
dc.identifierdoi:10.1103/PhysRevD.58.113010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198604
dc.subjectHigh Energy Physics - Phenomenology
dc.titleRadiative Corrections to W and Quark Propagators in the Resonance Region
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