Abstract
A discrepancy between the measured anomalous magnetic moment of the muon (g − 2)μ and computed Standard Model value now stands at a combined 4.2σ following experiments at Brookhaven National Lab (BNL) and the Fermi National Accelerator Laboratory (FNAL). A solution to the disagreement is uncovered in flipped SU(5) with additional TeV-Scale vector-like 10 + \( \overline{\mathbf{10}} \) multiplets and charged singlet derived from local F-Theory, collectively referred to as \( \mathcal{F} \)–SU(5). Here we engage general No-Scale supersymmetry (SUSY) breaking in \( \mathcal{F} \)–SU(5) D-brane model building to alleviate the (g −2)μ tension between the Standard Model and observations. A robust ∆aμ(SUSY) is realized via mixing of M5 and M1X at the secondary SU(5) × U(1)X unification scale in \( \mathcal{F} \)–SU(5) emanating from SU(5) breaking and U(1)X flux effects. Calculations unveil ∆aμ(SUSY) = 19.0–22.3 × 10−10 for gluino masses of M(\( \overset{\sim }{g} \))= 2.25–2.56 TeV and higgsino dark matter, aptly residing within the BNL+FNAL 1σ mean. This (g − 2)μ favorable region of the model space also generates the correct light Higgs boson mass and branching ratios of companion rare decay processes, and is further consistent with all LHC Run 2 constraints. Finally, we also examine the heavy SUSY Higgs boson in light of recent LHC searches for an extended Higgs sector.
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Lamborn, J.L., Li, T., Maxin, J.A. et al. Resolving the (g − 2)μ discrepancy with \( \mathcal{F} \)–SU(5) intersecting D-branes. J. High Energ. Phys. 2021, 81 (2021). https://doi.org/10.1007/JHEP11(2021)081
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DOI: https://doi.org/10.1007/JHEP11(2021)081