# 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. We show that it is the non-abelian global $SU(2)_R$ 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 $N=1$ supersymmetry breaking sectors. This absence of symmetry does not spoil alignment at the minimimum 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 $SU(2)_R$ in the quartic potential.
Keywords :
Type de document :
Pré-publication, Document de travail
2018
Domaine :

https://hal.archives-ouvertes.fr/hal-01944990
Contributeur : Inspire Hep <>
Soumis le : mercredi 5 décembre 2018 - 09:38:04
Dernière modification le : mercredi 13 février 2019 - 03:13:24

### Citation

Karim Benakli, Yifan Chen, Gaëtan Lafforgue-Marmet. R-symmetry for Higgs alignment without decoupling. 2018. 〈hal-01944990〉

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