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

Abstract

Abstract We investigate the low energy properties of an effective local model with flipped $$SU(5)\times U(1)_{\chi }$$ S U ( 5 ) × U ( 1 ) χ 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 $$U(1)_{\chi }$$ U ( 1 ) χ 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 + E ¯ c , as well as neutral singlet fields. The subsequent symmetry breaking to the $$SU(3)\times SU(2)\times U(1)_Y$$ S U ( 3 ) × S U ( 2 ) × U ( 1 ) Y gauge group occurs with a Higgs pair in $$10+{\overline{10}}$$ 10 + 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 + E ¯ c pair acquires a mass of few TeV and as such could solve the $$g_{\mu }-2$$ g μ - 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 $${0\nu }\beta \beta $$ 0 ν β β 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.