Dynamical $\mu$ and MSSM

TL;DR

This paper proposes a dynamical mechanism for selecting Higgs doublets via a field called 'massion', driven by instanton interactions at high energy scales, with models constructed in supergravity and string theory contexts.

Contribution

It introduces the concept of a dynamical mbda parameter, 'massion', to explain Higgs doublet selection, linking it to instanton effects at high scales, and provides explicit superstring-based models.

Findings

The mbda parameter can be made dynamical via the 'massion' field.

Instanton interactions at high energy scales influence the Higgs sector.

Explicit superstring models implementing this idea are constructed.

Abstract

We present the idea that the vacuum can choose one pair of Higgs doublets by making the $\mu$ parameter a dynamical field called {\it massion}. The {\it massion} potential leading to the dynamical solution is suggested to arise from the small instanton interaction when the gauge couplings become strong near the cutoff scale $M_s$ or $M_P$. One can construct supergravity models along this line. We also present an explicit example with a trinification model from superstring.