Spinning No-Scale $\cal{F}$-$SU$(5) in the Right Direction

TL;DR

This paper proposes that a string-derived No-Scale Flipped SU(5) supersymmetric GUT model, with added vector-like particles called flippons, can explain the muon g-2 anomaly while remaining consistent with collider and cosmological data.

Contribution

It introduces a novel explanation for the muon g-2 discrepancy within a string-derived No-Scale Flipped SU(5) model, incorporating flippons to address multiple experimental and theoretical challenges.

Findings

The model accommodates the muon g-2 anomaly via charged vector-like leptons.

It maintains consistency with LHC limits and cosmological observations.

The model achieves gauge coupling unification at the string scale.

Abstract

The Fermi National Accelerator Laboratory (FNAL) recently announced confirmation of the Brookhaven National Lab (BNL) measurements of the $g-2$ of the muon that uncovered a discrepancy with the theoretically calculated Standard Model value. We suggest an explanation for the combined BNL+FNAL 4.2$\sigma$ deviation within the supersymmetric grand unification theory (GUT) model No-Scale $\cal{F}$-$SU(5)$ supplemented with a string derived TeV-scale extra $10+\overline{10}$ vector-like multiplet and charged vector-like singlet $(XE,XE^c)$, dubbed flippons. We introduced these vector-like particles into No-Scale Flipped $SU(5)$ many years ago, and as a result, the renormalization group equation (RGE) running was immediately shaped to produce a distinctive and rather beneficial two-stage gauge coupling unification process to avoid the Landau pole and lift unification to the string scale, in addition to contributing through 1-loop to the light Higgs boson mass. The flippons have long stood ready to tackle another challenge, and now do so yet again, where the charged vector-like "lepton"/singlet couples with the muon, the supersymmetric down-type Higgs $H_d$, and a singlet $S$, using a chirality flip to easily accommodate the muonic $g-2$ discrepancy in No-Scale $\cal{F}$-$SU(5)$. Considering the phenomenological success of this string derived model over the prior 11 years that remains accommodative of all presently available LHC limits plus all other experimental constraints, including no fine-tuning, and the fact that for the first time a Starobinsky-like inflationary model consistent with all cosmological data was derived from superstring theory in No-Scale Flipped $SU(5)$, we believe it is imperative to reconcile the BNL+FNAL developments within the model space.