# General No-Scale Supergravity: An ${\cal F}$-$SU(5)$ Tale

## TL;DR

This paper explores a generalized version of flipped SU(5) grand unification within No-Scale Supergravity, allowing non-zero SUSY breaking terms, which broadens the parameter space and enhances prospects for discovering new particles at the LHC2.

## Contribution

It extends the ${
m F}$-$SU(5)$ model by incorporating non-zero SUSY breaking soft terms, expanding the viable parameter space and phenomenological predictions.

## Key findings

- Broader mass range for vector-like particles (flippons) including sub-TeV masses.
- Lighter gluino mass and SUSY spectrum, increasing LHC2 detection prospects.
- Viable dark matter scenarios with bino and higgsino components.

## Abstract

We study the grand unification model flipped $SU(5)$ with additional vector-like particle multiplets, or ${\cal F}$-$SU(5)$ for short, in the framework of General No-Scale Supergravity. In our analysis we allow the supersymmetry (SUSY) breaking soft terms to be generically non-zero, thereby extending the phenomenologically viable parameter space beyond the highly constrained one-parameter version of ${\cal F}$-$SU(5)$. In this initial inquiry, the mSUGRA/CMSSM SUSY breaking terms are implemented. We find this easing away from the vanishing SUSY breaking terms enables a more broad mass range of vector-like particles, dubbed flippons, including flippons less than 1 TeV that could presently be observed at the LHC2, as well as a lighter gluino mass and SUSY spectrum overall. This presents heightened odds that the General No-Scale ${\cal F}$-$SU(5)$ viable parameter space can be probed at the LHC2. The phenomenology comprises both bino and higgsino dark matter, including a Higgs funnel region. Particle states emerging from the SUSY cascade decays are presented to experimentally distinguish amongst the diverse phenomenological regions.