We show that in SO(10) models, a Yukawa sector consisting of a real 10 H , a real 120 H and a complex 126 H of Higgs fields can provide a realistic fit to all fermion masses and mixings, including the neutrino sector. Although the group theory of SO(10) demands that the 10 H and 120 H be real, most constructions complexify these fields and impose symmetries exterior to SO(10) to achieve predictivity. The proposed new framework with real 10 H and real 120 H relies only on SO(10) gauge symmetry, and yet has a limited number of Yukawa parameters. Our analysis shows that while there are restrictions on the observables, a good fit to the entire fermion spectrum can be realized. Unification of gauge couplings is achieved with an intermediate scale Pati-Salam gauge symmetry. Proton decay branching ratios are calculable, with the leading decay modes being p → νπ + and p → e + π 0 .
In this work we study a predictive model based on a partially unified theory possessing the gauge symmetry of the Pati-Salam group, SU (2) L × SU (2) R × SU (4) C supplemented by a global Peccei-Quinn symmetry, U (1) P Q . A comprehensive analysis of the Higgs potential is carried out in a minimal set-up. The assumed Peccei-Quinn symmetry along with solving the strong CP problem, can provide axion as the dark matter candidate. This minimal set-up with limited number of Yukawa parameters can successfully incorporate the hierarchies in the charged fermion masses and mixings. The automatic existence of the heavy Majorana neutrinos generate the extremely small light neutrino masses through the seesaw mechanism, which is also responsible for producing the observed cosmological matter-antimatter asymmetry of the universe. We find interesting correlation between the low scale neutrino observables and the baryon asymmetry in this model. Baryon number violating nucleon decay processes mediated by the scalar diquarks and leptoquarks in this framework are found to be, n, p → + m, c + m (m = meson, = lepton, c = antilepton) and n, p → + c + c . For some choice of the parameters of the theory, these decay rates can be within the observable range. Another baryon number violating process, the neutron-antineutron oscillation can also be in the observable range. *
We propose a framework that addresses the origin of neutrino mass, explains the observed discrepancies in the electron and the muon anomalous magnetic moments (AMMs) data, and incorporates the dark matter (DM) relic abundance. Both the neutrino mass and the lepton AMMs are generated at one-loop level mediated by a common set of beyond the Standard Model (SM) states. In this class of models, the SM is extended with vectorlike charged fermion and scalar multiplets, all odd under an imposed Z 2 symmetry, which stabilizes the fermionic or scalar DM candidate residing in one of them. Two scalar multiplets appear in the AMM loops, thus allowing for different signs of their contributions, in agreement with the observed discrepancies which are of opposite sign for electron and muon. The vectorlike fermions give rise to large new physics contributions to the lepton AMMs via chirally enhanced terms that are proportional to their mass. To demonstrate the viability of this framework, we perform a detailed study of a particular model for which a fit to the neutrino masses and mixing together with lepton AMMs are provided. Furthermore, DM phenomenology and collider signatures are explored.
Motivated by the long-standing tension in the muon anomalous magnetic moment (AMM) and persistent observations of B-physics anomalies in R D ðÃÞ and R K ðÃÞ ratios, we construct a simple two-loop radiative neutrino mass model, and propose a combined explanations of all these apparently disjoint phenomena within this framework. Our proposed model consists of two scalar leptoquarks (LQs), a SUð2Þ L singlet S 1 ∼ ð3; 1; 1=3Þ and a SUð2Þ L triplet S 3 ∼ ð3; 3; 1=3Þ to accommodate R D ðÃÞ and R K ðÃÞ anomalies, respectively. The muon receives chirality-enhanced contribution toward its g − 2 due to the presence of S 1 LQ that accounts for the observed deviation from the Standard Model prediction. Furthermore, we introduce a SUð2Þ L singlet scalar diquark ω ∼ ð6; 1; 2=3Þ, which is necessary to break lepton number and generate neutrino mass radiatively with the aid of S 1 and S 3 LQs. We perform a detailed phenomenological analysis of this setup and demonstrate its viability by providing benchmark points where a fit to the neutrino oscillation data together with proper explanations of the muon AMM puzzle and flavor anomalies are accomplished while simultaneously meeting all other flavor violation and collider bounds.
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