Systematic analysis of radiative symmetry breaking in models with extended scalar sector

Abstract Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic analysis of RSB in such models: we review the comm...

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Main Authors: Leonardo Chataignier, Tomislav Prokopec, Michael G. Schmidt, Bogumiła Świeżewska
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2018)083
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author Leonardo Chataignier
Tomislav Prokopec
Michael G. Schmidt
Bogumiła Świeżewska
author_facet Leonardo Chataignier
Tomislav Prokopec
Michael G. Schmidt
Bogumiła Świeżewska
author_sort Leonardo Chataignier
collection DOAJ
description Abstract Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic analysis of RSB in such models: we review the common approximative methods of studying RSB, emphasising their limits of applicability and discuss the relevance of the relative magnitudes of tree-level and loop contributions as well as the dependence of the results on the renormalisation scale. The general considerations are exemplified within the context of the conformal Standard Model extended with a scalar doublet of a new SU(2) X gauge group, the so-called SU(2)cSM. We show that various perturbative methods of studying RSB may yield significantly different results due to renormalisation-scale dependence. Implementing the renormalisation-group (RG) improvement method recently developed in ref. [1], which is well-suited for multi-scale models, we argue that the use of the RG improved effective potential can alleviate this scale dependence providing more reliable results.
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spelling doaj.art-9e85a5cd1e9e460b9ab7472cc41c950d2022-12-21T23:59:42ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018814310.1007/JHEP08(2018)083Systematic analysis of radiative symmetry breaking in models with extended scalar sectorLeonardo Chataignier0Tomislav Prokopec1Michael G. Schmidt2Bogumiła Świeżewska3Institute for Theoretical Physics, Spinoza Institute & EMMEΦ, Utrecht UniversityInstitute for Theoretical Physics, Spinoza Institute & EMMEΦ, Utrecht UniversityInstitute for Theoretical Physics, Universität HeidelbergInstitute for Theoretical Physics, Spinoza Institute & EMMEΦ, Utrecht UniversityAbstract Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic analysis of RSB in such models: we review the common approximative methods of studying RSB, emphasising their limits of applicability and discuss the relevance of the relative magnitudes of tree-level and loop contributions as well as the dependence of the results on the renormalisation scale. The general considerations are exemplified within the context of the conformal Standard Model extended with a scalar doublet of a new SU(2) X gauge group, the so-called SU(2)cSM. We show that various perturbative methods of studying RSB may yield significantly different results due to renormalisation-scale dependence. Implementing the renormalisation-group (RG) improvement method recently developed in ref. [1], which is well-suited for multi-scale models, we argue that the use of the RG improved effective potential can alleviate this scale dependence providing more reliable results.http://link.springer.com/article/10.1007/JHEP08(2018)083Beyond Standard ModelRenormalization GroupSpontaneous Symmetry BreakingConformal and W Symmetry
spellingShingle Leonardo Chataignier
Tomislav Prokopec
Michael G. Schmidt
Bogumiła Świeżewska
Systematic analysis of radiative symmetry breaking in models with extended scalar sector
Journal of High Energy Physics
Beyond Standard Model
Renormalization Group
Spontaneous Symmetry Breaking
Conformal and W Symmetry
title Systematic analysis of radiative symmetry breaking in models with extended scalar sector
title_full Systematic analysis of radiative symmetry breaking in models with extended scalar sector
title_fullStr Systematic analysis of radiative symmetry breaking in models with extended scalar sector
title_full_unstemmed Systematic analysis of radiative symmetry breaking in models with extended scalar sector
title_short Systematic analysis of radiative symmetry breaking in models with extended scalar sector
title_sort systematic analysis of radiative symmetry breaking in models with extended scalar sector
topic Beyond Standard Model
Renormalization Group
Spontaneous Symmetry Breaking
Conformal and W Symmetry
url http://link.springer.com/article/10.1007/JHEP08(2018)083
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AT tomislavprokopec systematicanalysisofradiativesymmetrybreakinginmodelswithextendedscalarsector
AT michaelgschmidt systematicanalysisofradiativesymmetrybreakinginmodelswithextendedscalarsector
AT bogumiłaswiezewska systematicanalysisofradiativesymmetrybreakinginmodelswithextendedscalarsector