Non-Linear Single Higgs MSSM

TL;DR

This paper introduces a non-linear MSSM with a novel Higgs sector and goldstino field, proposing models that avoid the $ppa$-problem and relate the Higgs mass to SUSY breaking scale, with implications for Yukawa couplings.

Contribution

The paper develops two non-linear MSSM models with unique Higgs sectors, avoiding the $ppa$-problem and establishing a relation between Higgs mass and SUSY breaking scale.

Findings

Two models with modified Higgs sectors are proposed.

The models eliminate the $ppa$-problem via discrete symmetries.

A tree-level relation between Higgs mass and SUSY breaking scale is derived.

Abstract

We present a non-linear MSSM with non-standard Higgs sector and goldstino field. Non-linear supersymmetry for the goldstino couplings is described by the constrained chiral superfield and, as usual, the Standard Model sector is encompassed in suitable chiral and vector supermultiplets. Two models are presented. In the first model (non-linear MSSM$3 1/2$), the second Higgs is replaced by a new supermultiplet of half-family with only a new generation of leptons (or quarks). In the second model, for anomaly cancellation purposes, the second Higgs is retained as a spectator superfield by imposing a discrete symmetry. Both models do not have a $\mu$-problem as a $\mu$-term is forbidden by the discrete symmetry in the case of a spectator second Higgs or not existing at all in the case of a single Higgs. Moreover, the tree level relation between the Higgs mass and the hidden sector SUSY breaking scale $\sqrt{f}$ is derived. Finally, we point out a relative suppression by $m_{soft}/\Lambda$ of the bottom and tau Yukawa couplings with respect to those of the top quark.