Predicting Alignment in a Two Higgs Doublet Model

Abstract

We show that a non-abelian global $SU(2{)}_R$ acting on the quartic part of the two Higgs Doublet Model leads, at tree-level, to an automatic alignment without decoupling. An example of phenomenologically viable model with this feature is the the low energy effective field theory of the Minimal Dirac Gaugino Supersymmetric Model in the limit where the adjoint scalars are decoupled. We discuss here how the $SU(2{)}_R$ can be identified with the R-symmetry of the $N=2$ supersymmetry in the gauge and Higgs sectors. We also review how the radiative corrections lead to a very small misalignment.

Comments: 12 pages, 1 figure. Contribution to the proceedings of the 7th International Conference on New Frontiers in Physics (ICNFP 2018), 4-12 July 2018, Crete, Greece. Typos corrected. Some explanations added. Corresponds to the published version