Sterile neutrinos, decay and the W-boson mass anomaly in a flipped SU(5) from F-theory

Vasileios Basiouris; George K. Leontaris

doi:10.1140/epjc/s10052-022-11005-5

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 1041
https://doi.org/10.1140/epjc/s10052-022-11005-5

Regular Article - Theoretical Physics

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

Vasileios Basiouris¹^a and George K. Leontaris¹^,2

¹ Physics Department, University of Ioannina, 45110, Ioannina, Greece
² Physics Department, CERN, 1211, Geneva, 23, Switzerland

^a v.basiouris@uoi.gr

Received: 26 May 2022
Accepted: 5 November 2022
Published online: 17 November 2022

Abstract

We investigate the low energy properties of an effective local model with flipped $S U (5) \times U {(1)}_{χ}$ $SU(5)\times U(1)_{\chi }$ 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 $U {(1)}_{χ}$ $U(1)_{\chi }$ 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, $E^{c} + {\bar{E}}^{c}$ $E^c+{{\bar{E}}}^c$ , as well as neutral singlet fields. The subsequent symmetry breaking to the $S U (3) \times S U (2) \times U {(1)}_{Y}$ $SU(3)\times SU(2)\times U(1)_Y$ gauge group occurs with a Higgs pair in $10 + \bar{10}$ $10+{\overline{10}}$ representations of SU(5). Next we proceed to the phenomenological analysis of the resulting effective model and the salient outcomes are: The $E^{c} + {\bar{E}}^{c}$ $E^c+{{\bar{E}}}^c$ pair acquires a mass of few TeV and as such could solve the $g_{μ} - 2$ $g_{\mu }-2$ 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 $0 ν β β$ ${0\nu }\beta \beta$ decay rate could be tested in near future experiments. There are non-unitarity deviations from the lepton mixing matrix $(U_{PMNS}),$ $(U_{PMNS}),$ which could in principle explain the new precision measurement of the W-boson mass recently reported by the CDF II collaboration.

© The Author(s) 2022

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