The Golden Strip of Correlated Top Quark, Gaugino, and Vectorlike Mass In No-Scale, No-Parameter F-SU(5)

TL;DR

This paper identifies a specific parameter region in No-Scale F-SU(5) models, called the 'golden strip', that satisfies current experimental constraints and predicts testable phenomena at the LHC and future proton decay experiments.

Contribution

It systematically defines the 'golden strip' in parameter space where No-Scale F-SU(5) models align with experimental data, reducing model tunability and making testable predictions.

Findings

The 'golden strip' constrains tan(beta) around 15.

Predicted M_V range is testable at the LHC.

Proton decay lifetime predictions are within future experimental reach.

Abstract

We systematically establish the hyper-surface within the tan(beta), top quark mass m_t, universal gaugino mass M_1/2, and vectorlike mass M_V parameter volume which is compatible with the application of the No-Scale Supergravity boundary conditions, particularly the vanishing of the Higgs bilinear soft term B_mu, near to the Planck mass at the point M_F of ultimate F-lipped SU(5) unification. M_F is elevated from the penultimate partial unification near the traditional GUT scale at a mass M_32 by the inclusion of extra F-theory derived heavy vectorlike multiplets. We demonstrate that simultaneous adherence to all current experimental constraints, most importantly contributions to the muon anomalous magnetic moment (g-2)_mu, the branching ratio limit on (b \to s gamma), and the 7-year WMAP relic density measurement, dramatically reduces the allowed solutions to a highly non-trivial "golden strip" with tan(beta) \sim 15, m_t = 173.0-174.4 GeV, M_1/2 = 455-481 GeV, and M_V = 691-1020 GeV, effectively eliminating all extraneously tunable model parameters. We emphasize that the consonance of the theoretically viable m_t range with the experimentally established value is an independently correlated "postdiction". The predicted range of M_V is testable at the Large Hadron Collider (LHC). The partial lifetime for proton decay in the leading (e+|mu+) pi0 channels falls around 4.6 X 10^34 Y, testable at the future DUSEL and Hyper-Kamiokande facilities.