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.

Highlights

  • A discrepancy between the measured anomalous magnetic moment of the muon (g − 2)μ and computed Standard Model value stands at a combined 4.2σ following experiments at Brookhaven National Lab (BNL) and the Fermi National Accelerator Laboratory (FNAL)

  • It is clear in figure 1 that the current LHC Run 2 gluino constraint of M (g) 2.25 TeV [98–104] correlates to the current chargino constraint for higgsino LSP since the BNL+FNAL 1σ and 2σ points that satisfy the ATLAS chargino constraint show a coincident lower bound of M (g) 2.25 TeV

  • Supersymmetry (SUSY) persists as one promising extension of the Standard Model (SM), we study in this work a merging of a realistic D-brane model with the supersymmetric GUT model flipped SU(5) with extra TeV-scale string derived vector-like multiplets, referred to collectively as the F

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Summary

Phenomenological results

The general No-Scale soft SUSY breaking terms in the F –SU(5) D-brane model are implemented at the SU(5) × U(1)X unification scale MF , and we concurrenly float the lowenergy parameters tanβ, mt, and MV. The most stringent LHC constraints on the F –SU(5) D-brane model are ATLAS electroweakino production searches for higgsino LSP [87]. For the amount of M5 and M1X mixing in eq (2.18), ∆aμ(SUSY) remains in the BNL+FNAL 1σ range up to M (g) ≈ 2.56 TeV It is clear in figure 1 that the current LHC Run 2 gluino constraint of M (g) 2.25 TeV [98–104] correlates to the current chargino constraint for higgsino LSP since the BNL+FNAL 1σ and 2σ points that satisfy the ATLAS chargino constraint show a coincident lower bound of M (g) 2.25 TeV. All 261,562 points that pass the LHC chargino constraints on higgsino spectra and concurrently reside within either the BNL+FNAL 1σ or 2σ limits on ∆aμ are binned in the histogram of figure 4, using 10 GeV bin widths. The histogram peak resides in the (985, 995] GeV bin, or M (H0) 1 TeV

Conclusions
A Multi-Jet Supersymmetry Signal
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