Natural Higgs-flavor-democracy solution of the mu problem of supersymmetry and the QCD axion

TL;DR

This paper proposes a solution to the mu problem in supersymmetry by using a democratic Higgs flavor structure, which also naturally relates to the QCD axion through an approximate Peccei-Quinn symmetry.

Contribution

It introduces a novel Higgs flavor-democracy framework that links the small mu term to axion physics, providing a unified approach to two longstanding issues.

Findings

Hierarchically small mu term explained by democratic Higgs mass matrix

Approximate Peccei-Quinn symmetry emerges naturally in the model

Mu is related to the axion decay constant

Abstract

We show that the hierarchically small mu term in supersymmetric theories is a consequence of two identical pairs of Higgs doublets taking a democratic form for their mass matrix. We briefly discuss the discrete symmetry S2xS2 toward the democratic mass matrix. Then, we show that there results an approximate Peccei-Quinn symmetry and hence the value mu is related to the axion decay constant.