Flavor Problem, Proton Decay And Neutrino Oscillations In SUSY Models With Anomalous ${\cal U}(1)$

TL;DR

This paper explores how anomalous ${ m U}(1)$ flavor symmetry in SUSY models can address flavor issues, proton decay, and neutrino oscillations simultaneously, proposing a framework that aligns with experimental observations.

Contribution

It introduces a novel SUSY model with an anomalous ${ m U}(1)$ symmetry that suppresses flavor-changing processes and explains fermion hierarchies and neutrino oscillations.

Findings

Heavy first two squark families suppress FCNCs

Proton lifetime estimated at about 1000 times the minimal SU(5) prediction

Model accommodates observed fermion mass hierarchies and neutrino oscillations

Abstract

We discuss how realistic supersymmetric models can be constructed by employing an anomalous ${\cal U}(1)$ flavor symmetry which also mediates supersymmetry breaking. A judicious choice of ${\cal U}(1)$ charges enables the first two squark families to be sufficiently heavy ($\stackrel{>}{_\sim}10$ TeV), so that flavor changing neutral currents as well as dimension five nucleon decay are adequately suppressed. Using the SU(5) example, the charged fermion mass hierarchies, magnitudes of the CKM matrix elements, as well as the observed neutrino oscillations are simultaneously accommodated. We estimate the proton lifetime to be $\tau_p\sim 10^3\cdot \tau_p[{\rm minimal} SU(5)]$, with the decay mode $p\to K\mu $ being comparable to $p\to K\nu_{\mu, \tau}$.