Resolving the $(g-2{)}_{\mu }$ Discrepancy with $\mathcal{F}$-$SU$(5) Intersecting D-branes

Abstract

A discrepancy between the measured anomalous magnetic moment of the muon $(g-2{)}_{\mu }$ and computed Standard Model value now stands at a combined $4.2\sigma$ 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 $10+\overline{10}$ 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 $(g-2{)}_{\mu }$ tension between the Standard Model and observations. A robust $\Delta a_{\mu }$(SUSY) is realized via mixing of $M_5$ and $M_{1X}$ at the secondary $SU(5)\times U(1{)}_X$ unification scale in $\mathcal{F}$-$SU(5)$ emanating from $SU(5)$ breaking and $U(1{)}_X$ flux effects. Calculations unveil $\Delta a_{\mu }(\mathrm{SUSY})=19.0-22.3\times 10^{-10}$ for gluino masses of $M(\tilde{g})=2.25-2.56$ TeV and higgsino dark matter, aptly residing within the BNL+FNAL $1\sigma$ mean. This $(g-2{)}_{\mu }$ 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 examine the heavy SUSY Higgs boson in light of recent LHC searches for an extended Higgs sector.

10 Pages, 1 Table, 4 Figures; JHEP Version

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Cited by in corpus (7)

• $(g-2{)}_{\mu }$ and SUSY Dark Matter: Direct Detection and Collider Search Complementarity
• Interdependence of the new "MUON G-2" Result and the $W$-Boson Mass
• Impact of recent $(g-2{)}_{\mu }$ measurement on the light CP-even Higgs scenario in general Next-to-Minimal Supersymmetric Standard Model
• Status of the singlino-dominated dark matter in general Next-to-Minimal Supersymmetric Standard Model
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Light higgsino scenario confronted with muon g-2
• Flipped SU(6) Unification of the $SU(3{)}_c\times SU(3{)}_L\times U(1{)}_X$ Model