Top-bottom doublet in the sphaleron background

We consider the top-bottom doublet in the background of the sphaleron for the realistic case of large non-degeneracy of fermion masses, in particular m_b=5 GeV and m_t=175 GeV. We propose an axially symmetric (r,\theta)-dependent ansatz for fermion fields and investigate the effects of the non-degen...

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Detalles Bibliográficos
Autores principales: Moreno, J M, Oaknin, D H, Quirós, Mariano
Lenguaje:eng
Publicado: 1995
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(95)01183-Q
http://cds.cern.ch/record/287306
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author Moreno, J M
Oaknin, D H
Quirós, Mariano
author_facet Moreno, J M
Oaknin, D H
Quirós, Mariano
author_sort Moreno, J M
collection CERN
description We consider the top-bottom doublet in the background of the sphaleron for the realistic case of large non-degeneracy of fermion masses, in particular m_b=5 GeV and m_t=175 GeV. We propose an axially symmetric (r,\theta)-dependent ansatz for fermion fields and investigate the effects of the non-degeneracy on them. The exact solution is described, with an error less than 0.01\%, by a set of ten radial functions. We also propose an approximate solution, in the m_b/m_t\rightarrow 0 limit, with an error {\cal O}(m_b/m_t). We have found that the effects of non-degeneracy provide a \theta-dependence typically \sim 10\%.
id cern-287306
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-2873062019-09-30T06:29:59Zdoi:10.1016/0370-2693(95)01183-Qhttp://cds.cern.ch/record/287306engMoreno, J MOaknin, D HQuirós, MarianoTop-bottom doublet in the sphaleron backgroundParticle Physics - PhenomenologyWe consider the top-bottom doublet in the background of the sphaleron for the realistic case of large non-degeneracy of fermion masses, in particular m_b=5 GeV and m_t=175 GeV. We propose an axially symmetric (r,\theta)-dependent ansatz for fermion fields and investigate the effects of the non-degeneracy on them. The exact solution is described, with an error less than 0.01\%, by a set of ten radial functions. We also propose an approximate solution, in the m_b/m_t\rightarrow 0 limit, with an error {\cal O}(m_b/m_t). We have found that the effects of non-degeneracy provide a \theta-dependence typically \sim 10\%.hep-ph/9508404IMT-FT-95-111oai:cds.cern.ch:2873061995
spellingShingle Particle Physics - Phenomenology
Moreno, J M
Oaknin, D H
Quirós, Mariano
Top-bottom doublet in the sphaleron background
title Top-bottom doublet in the sphaleron background
title_full Top-bottom doublet in the sphaleron background
title_fullStr Top-bottom doublet in the sphaleron background
title_full_unstemmed Top-bottom doublet in the sphaleron background
title_short Top-bottom doublet in the sphaleron background
title_sort top-bottom doublet in the sphaleron background
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/0370-2693(95)01183-Q
http://cds.cern.ch/record/287306
work_keys_str_mv AT morenojm topbottomdoubletinthesphaleronbackground
AT oaknindh topbottomdoubletinthesphaleronbackground
AT quirosmariano topbottomdoubletinthesphaleronbackground

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