Absence of Spontaneous CP violation in Multi-Higgs Doublet Extension of MSSM

TL;DR

This paper demonstrates that in the multi-Higgs extension of the MSSM, spontaneous CP violation cannot occur without fine-tuning, even when R-parity breaking is considered.

Contribution

It proves the impossibility of spontaneous CP violation in NHMSSM without fine-tuning, extending understanding of symmetry breaking constraints.

Findings

Spontaneous CP violation is impossible in NHMSSM without fine-tuning.

The result holds even with spontaneous R-parity breaking.

Provides theoretical constraints on multi-Higgs models.

Abstract

We show that in the multi-Higgs extension of minimal supersymmetric standard model, which has N-pairs of Higgs doublets (called NHMSSM), it is impossible to break CP spontaneously, if we do not allow for fine-tuning relations between parameters. The result holds true even in the presence of spontaneous R-parity breaking.