Neutrino mass matrices from localization in M-theory on $G_2$ orbifold

Abstract

M-theory compactified on a $G_2$ manifold with resolved $E_8$ singularity is a promising candidate for a unified theory. The experimentally observed masses of quarks and charged leptons put a restriction on the moduli of the $G_2$ manifold. These moduli in turn uniquely determine the Dirac interactions of the neutrinos. In the paper, we explicitly compute the Dirac terms for neutrino mass matrix using the moduli from a localized model with resolved $E_8$ singularities on a $G_2$ manifold. This is a novel approach as the Dirac terms are not assumed but derived from the structure of quarks' and charged leptons' masses. Using known mass splittings and mixing angles of neutrinos, we show the acceptable region for Majorana terms. We also analyse the theoretical region for Majorana terms induced from the expectation values of right handed neutrinos through the Kolda-Martin mechanism. The intersection of the two regions indicates a restriction on neutrino masses. In particular, the lightest neutrino must have small but non-zero mass. Moreover, this also puts constraints on possible Majorana contributions from Kähler potential and superpotential, which can be traced down to a restriction on the geometry.We conclude that the masses of the two heavier light neutrinos are about $0.05\text{ eV}$ and $0.009\text{ eV}$ ($0.05\text{ eV}$ and $0.05\text{ eV}$)) for normal (inverted) hierarchy. In both hierarchies, we predict the light neutrinos are mostly Dirac type. Hence neutrino-less double-beta decay will be small. This is a testable result in a near future. Some bounds on heavy neutrinos are also derived.

References in corpus (29)

• R-parity violating supersymmetry
• 2020 Global reassessment of the neutrino oscillation picture
• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Chiral Fermions from Manifolds of $G_2$ Holonomy
• Minimal SUSY SO(10) model and predictions for neutrino mixings and leptonic CP violation
• M theory and Singularities of Exceptional Holonomy Manifolds
• The $G_2$-MSSM - An $M$ Theory motivated model of Particle Physics
• Explaining the Electroweak Scale and Stabilizing Moduli in M Theory
• Type II Seesaw and a Gauge Model for the Bimaximal Mixing Explanation of Neutrino Puzzles
• A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G_2 Holonomy
• A General Classification of Three-Neutrino Models and U_e3
• An M theory Solution to the Hierarchy Problem
• Low-energy supersymmetry with D-term contributions to scalar masses
• Seesaw Neutrinos from the Heterotic String
• Seesaw mechanism and structure of neutrino mass matrix
• Hitchin's Equations and M-Theory Phenomenology
• The mu term and neutrino masses
• The Neutrino Suppression Scale from Large Volumes
• Kahler Potential for M-theory on a G_2 Manifold
• Hierarchical Matrices in the See-Saw Mechanism, large Neutrino Mixing and Leptogenesis
• Higgs Bundles for M-theory on $G_2$-Manifolds
• Dirac Neutrino Mass Matrix and its Link to Freeze-in Dark Matter
• Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics
• Geometrically Engineering the Standard Model: Locally Unfolding Three Families out of E8
• Neutrino mass from M Theory SO(10)
• R-Parity Violating Supersymmetry and the 125 GeV Higgs signals
• Quark and lepton mass matrices from localization in M-theory on $G_2$ orbifold
• Charged Higgs Sector with and without R--Parity

Cited by in corpus (1)

• Minimal structure for neutrino mass matrix