Super No-Scale F-SU(5): A Dynamic Determination of M_{1/2} and tan beta

TL;DR

This paper introduces a method within No-Scale F-SU(5) to dynamically determine key parameters M_{1/2} and tan beta by minimizing the Higgs potential, linking theoretical predictions with phenomenological observations.

Contribution

It presents a novel approach to fix M_{1/2} and tan beta dynamically through a secondary minimization of the Higgs potential in No-Scale F-SU(5).

Findings

The secondary minimization aligns with the phenomenologically favored golden point.

The approach reduces free parameters by linking them to the Higgs potential minimization.

The model's predictions are consistent with experimental constraints.

Abstract

We study the Higgs potential in No-Scale F-SU(5), a model built on the tripodal foundations of the Flipped SU(5) x U(1)_X Grand Unified Theory, extra F-theory derived TeV scale vector-like particle multiplets, and the high scale boundary conditions of No-Scale Supergravity. V_min, the minimum of the potential following radiative electroweak symmetry breaking, is a function at fixed Z-Boson mass of the universal gaugino boundary mass M_{1/2} and tan{\beta}, the ratio of Higgs vacuum expectation values. The No-Scale nullification of the bilinear Higgs soft term B_mu at the boundary reduces V_min(M_{1/2}) to a one dimensional dependency, which may be secondarily minimized. This "Super No-Scale" condition dynamically fixes tan beta and M_{1/2} at the local minimum minimorum of V_min. Fantastically, the walls of this theoretically established secondary potential coalesce in descent to a striking concurrency with the previously phenomenologically favored "golden point" and "golden strip".