Spinning no-scale -SU(5) in the right direction

Tianjun Li; James A. Maxin; Dimitri V. Nanopoulos

doi:10.1140/epjc/s10052-021-09835-w

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 1059
https://doi.org/10.1140/epjc/s10052-021-09835-w

Regular Article - Theoretical Physics

Spinning no-scale $F$ ${\mathcal {F}}$ -SU(5) in the right direction

Tianjun Li¹^,2, James A. Maxin³^b and Dimitri V. Nanopoulos⁴^,5^,6

¹ CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, People’s Republic of China
² School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, 100049, Beijing, People’s Republic of China
³ Department of Chemistry and Physics, Louisiana State University, 71115, Shreveport, LA, USA
⁴ George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, 77843, College Station, TX, USA
⁵ Astroparticle Physics Group, Houston Advanced Research Center (HARC), Mitchell Campus, 77381, Woodlands, TX, USA
⁶ Academy of Athens, Division of Natural Sciences, 28 Panepistimiou Avenue, 10679, Athens, Greece

^b hep-cosmology@pm.me

Received: 4 October 2021
Accepted: 15 November 2021
Published online: 1 December 2021

Abstract

The Fermi National Accelerator Laboratory (FNAL) recently announced confirmation of the Brookhaven National Lab (BNL) measurements of the $g - 2$ $$g-2$$ 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 $σ$ $\sigma$ deviation within the supersymmetric grand unification theory (GUT) model No-Scale $F$ ${\mathcal {F}}$ - $S U (5)$ $$SU(5)$$ supplemented with a string derived TeV-scale extra $10 + \bar{10}$ $10+\overline{10}$ vector-like multiplet and charged vector-like singlet $(X E, X E^{c})$ $$(XE,XE^c)$$ , 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 $H_{d}$ $$H_d$$ , and a singlet S, using a chirality flip to easily accommodate the muonic $g - 2$ $$g-2$$ discrepancy in No-Scale $F$ ${\mathcal {F}}$ - $S U (5)$ $$SU(5)$$ . 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.

© The Author(s) 2021

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