R-symmetry for Higgs alignment without decoupling

Abstract It has been observed that an automatic alignment without decoupling is predicted at tree-level in a Two-Higgs Doublet Model (2HDM) with extended supersymmetry in the gauge and Higgs sectors. Moreover, it was found that radiative corrections preserve this alignment to a very good precision....

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Main Authors: Karim Benakli, Yifan Chen, Gaëtan Lafforgue-Marmet
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6676-9
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author Karim Benakli
Yifan Chen
Gaëtan Lafforgue-Marmet
author_facet Karim Benakli
Yifan Chen
Gaëtan Lafforgue-Marmet
author_sort Karim Benakli
collection DOAJ
description Abstract It has been observed that an automatic alignment without decoupling is predicted at tree-level in a Two-Higgs Doublet Model (2HDM) with extended supersymmetry in the gauge and Higgs sectors. Moreover, it was found that radiative corrections preserve this alignment to a very good precision. We show that it is the non-abelian global $$SU(2)_R$$ SU(2)R R-symmetry that is at the origin of this alignment. This differs from previously considered Higgs family symmetries as it is present only in the quartic part of the Higgs potential. It can not be imposed to the quadratic part which has to be generated by $$N=1$$ N=1 supersymmetry breaking sectors. This absence of symmetry does not spoil alignment at the minimum of the potential. We show how the (small) misalignment induced by higher order corrections can be described as the appearance of non-singlet representations of $$SU(2)_R$$ SU(2)R in the quartic potential.
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spelling doaj.art-e3021cb8ee4e44a2beca9eb693f4b2f12022-12-22T01:32:58ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-02-017921810.1140/epjc/s10052-019-6676-9R-symmetry for Higgs alignment without decouplingKarim Benakli0Yifan Chen1Gaëtan Lafforgue-Marmet2Laboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589, Sorbonne Université et CNRSLaboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589, Sorbonne Université et CNRSLaboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589, Sorbonne Université et CNRSAbstract It has been observed that an automatic alignment without decoupling is predicted at tree-level in a Two-Higgs Doublet Model (2HDM) with extended supersymmetry in the gauge and Higgs sectors. Moreover, it was found that radiative corrections preserve this alignment to a very good precision. We show that it is the non-abelian global $$SU(2)_R$$ SU(2)R R-symmetry that is at the origin of this alignment. This differs from previously considered Higgs family symmetries as it is present only in the quartic part of the Higgs potential. It can not be imposed to the quadratic part which has to be generated by $$N=1$$ N=1 supersymmetry breaking sectors. This absence of symmetry does not spoil alignment at the minimum of the potential. We show how the (small) misalignment induced by higher order corrections can be described as the appearance of non-singlet representations of $$SU(2)_R$$ SU(2)R in the quartic potential.http://link.springer.com/article/10.1140/epjc/s10052-019-6676-9
spellingShingle Karim Benakli
Yifan Chen
Gaëtan Lafforgue-Marmet
R-symmetry for Higgs alignment without decoupling
European Physical Journal C: Particles and Fields
title R-symmetry for Higgs alignment without decoupling
title_full R-symmetry for Higgs alignment without decoupling
title_fullStr R-symmetry for Higgs alignment without decoupling
title_full_unstemmed R-symmetry for Higgs alignment without decoupling
title_short R-symmetry for Higgs alignment without decoupling
title_sort r symmetry for higgs alignment without decoupling
url http://link.springer.com/article/10.1140/epjc/s10052-019-6676-9
work_keys_str_mv AT karimbenakli rsymmetryforhiggsalignmentwithoutdecoupling
AT yifanchen rsymmetryforhiggsalignmentwithoutdecoupling
AT gaetanlafforguemarmet rsymmetryforhiggsalignmentwithoutdecoupling