Sterile neutrinos, $0\nu \beta \beta$ decay and the W-boson mass anomaly in a Flipped $SU(5)$ from F-theory

Abstract

We investigate the low energy properties of an effective local model with flipped $SU(5)\times U(1{)}_{\chi }$ gauge group, constructed within the framework of F-theory. Its origin is traced back to the $SO(10)$ symmetry -- associated with a geometric singularity of the compactification manifold -- broken by an internal flux which is turned on along the seven-brane in the $U(1{)}_{\chi }$ direction. Topological properties and the choice of flux parameters determine the massless spectrum of the model to be that of the minimal flipped $SU(5)$ supplemented with an extra right-handed electron-type state and its complex conjugate, $E^c+{\bar{E}}^c$, as well as neutral singlet fields. The subsequent symmetry breaking to the $SU(3)\times SU(2)\times U(1{)}_Y$ gauge group occurs with a Higgs pair in $10+\overline{10}$ representations of $SU(5)$. Next we proceed to the phenomenological analysis of the resulting effective model and the salient outcomes are: The $E^c+{\bar{E}}^c$ pair acquires a mass of few TeV and as such could solve the $g_{\mu }-2$ discrepancy. Neutrino couplings to extra neutral singlets lead to an inverse seesaw mechanism where an extra light state could be a suitable dark matter candidate. The predictions of the model for the $0\nu \beta \beta$ decay rate could be tested in near future experiments. There are non-unitarity deviations from lepton mixing matrix ($U_{PMNS}$), which could in principle explain the new precision measurement of the W-boson mass recently reported by CDF II collaboration.

Revised and expanded version. To appear in EPJC

References in corpus (22)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Unitarity of the Leptonic Mixing Matrix
• Neutrinoless double beta decay versus other probes of heavy sterile neutrinos
• Gauge Coupling Unification in F-theory GUT Models
• Delta r and the W-boson mass in the Singlet Extension of the Standard Model
• Global Fit to Modified Neutrino Couplings and the Cabibbo-Angle Anomaly
• Arbitrary mass Majorana neutrinos in neutrinoless double beta decay
• Electroweak Precision Fit and New Physics in light of $W$ Boson Mass
• Testable Flipped SU(5) x U(1)_X Models
• Phenomenological Consequences of sub-leading Terms in See-Saw Formulas
• Extended double seesaw model for neutrino mass spectrum and low scale leptogenesis
• Singlet extensions and W boson mass in the light of the CDF II result
• Yukawa couplings and fermion mass structure in F-theory GUTs
• Extra $W$-Boson Mass from a D3-Brane
• Proton Decay: Flipped vs Unflipped SU(5)
• Low Scale Leptogenesis and Dark Matter Candidates in an Extended Seesaw Model
• Observable Proton Decay in Flipped SU(5)
• Flipped SU(5) GUT Phenomenology: Proton Decay and $g_{\mu }-2$
• Flavour and CP symmetries in the inverse seesaw
• R-Symmetric Flipped SU(5)
• Phenomenology with F-theory SU(5)
• Spinning No-Scale $\mathcal{F}$-$SU$(5) in the Right Direction

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• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly
• FCNCs, Proton Stability, $g_{\mu }-2$ Discrepancy, Neutralino cold Dark Matter in Flipped $SU(5)\times U(1{)}_{\chi }$ from $F$ Theory with $A_4$ Symmetry
• Accommodating the CDF W-boson Mass Measurement in the Beautiful Mirror Model
• GUT origins of general electroweak multiplets and their oblique parameters