Sterile neutrinos, 0v beta beta decay and the W-boson mass anomaly in a flipped SU(5) from F-theory

We investigate the low energy properties of an effective local model with flipped SU(5) x 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 electrontype state and its complex conjugate, E-c + (E) over bar (c), as well as neutral singlet fields. The subsequent symmetry breaking to the SU(3) x SU(2) x U(1)(y) gauge group occurs with a Higgs pair in 10 + (10) over bar representations of SU(5). Next we proceed to the phenomenological analysis of the resulting effective model and the salient outcomes are: The E-c + (E) over bar (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 0v beta beta decay rate could be tested in near future experiments. There are non-unitarity deviations from the lepton mixing matrix (U-PMNS), which could in principle explain the new precision measurement of the W-boson mass recently reported by the CDF II collaboration.