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 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 in the quartic potential.

Natural alignment in a two Higgs doublet model

“…This was realized in the model of [2] that was not engineered for as a scenario for supersymmetry breaking, and the alignment was a "prediction". This was discussed later in [3,4,5]. In [4], the misalignment was found to remain below the 10% level when radiative corrections are taken into account.…”

“…In [4], the misalignment was found to remain below the 10% level when radiative corrections are taken into account. In [5], the mechanisms behind this alignment were revealed: they are a combination of a global SU(2) R symmetry of the quartic potential and diverse cancellations due to supersymmetry.…”

New scenario for aligned Higgs couplings originated from the twisted custodial symmetry at high energies

“…The realizations of the alignment from the concrete higher-energy models are discussed in refs. [44][45][46]. We make the assumption that the Higgs potential respects the twisted custodial symmetry at the high scale Λ without a specific high energy theory in mind.…”

Predicting Alignment in a Two Higgs Doublet Model

“…We need to explain why, still, this is enough to imply alignment. However, most useful to us, we want to read the amount of misalignment as function of the decomposition under SU (2) of the quartic potential [5].…”

“…In particular, it was shown in [4] that the alignment survives with an impressive precision when radiative corrections are taken into account. The mechanisms behind this successful alignment are a combination of a global SU (2) R symmetry of the quartic potential and diverse cancellations due to supersymmetry as discussed in [5] and will be reviewed here.…”