Neutrino mass from M theory SO(10)

Acharya, B. S.; Bożek, Krzysztof; Romão, Miguel Crispim; King, Stephen F.; Pongkitivanichkul, Chakrit

doi:10.1007/jhep11(2016)173

Cited by 7 publications

(14 citation statements)

References 54 publications

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“…The early investigation of G 2 holonomy in physics was performed in [16], with a review of the first 20 years in [17]. One of the most recent applications of this compactification can be found in [18], and, of course, many more studies of M theory on G 2 were performed over the years.…”

Section: M Theory On a 7-manifold With G 2 Holonomymentioning

confidence: 99%

Seven-disk manifold, α -attractors, and B modes

2016

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Cosmological α-attractor models in N ¼ 1 supergravity are based on the hyperbolic geometry of a Poincaré disk with the radius square R 2 ¼ 3α. The predictions for the B modes, r ≈ 3α 4 N 2 , depend on moduli space geometry and are robust for a rather general class of potentials. Here we notice that starting with M theory compactified on a 7-manifold with G 2 holonomy, with a special choice of Betti numbers, one can obtain d ¼ 4, N ¼ 1 supergravity with the rank 7 scalar coset ½ SLð2Þ SOð2Þ 7 . In a model where these seven unit size Poincaré disks have identified moduli one finds that 3α ¼ 7. Assuming that the moduli space geometry of the phenomenological models is inherited from this version of M theory, one would predict r ≈ 10 −2 for N ¼ 53 e-foldings. We also describe the related maximal supergravity and M/string theory models leading to preferred values 3α ¼ 1, 2, 3, 4, 5, 6, 7.

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Section: M Theory On a 7-manifold With G 2 Holonomymentioning

confidence: 99%

Seven-disk manifold, α -attractors, and B modes

2016

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“…The Kolda-Martin (K-M) mechanism includes effects of non-perturbative terms via the Kähler potential. A similar approach has been done by Acharya et al for an SO(10) gauge group [4]. Our work expands the idea to an explicit resolved E 8 singularities model, with three generations fitting the experimental data for quarks and charged leptons, and computes neutrino Dirac terms.…”

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confidence: 78%

“…Therefore, we can use them to compute the Dirac terms of the neutrinos. This distinguishes our approach from previous works with neutrino Dirac mass [4][5][6][7][8][9][10][11][12][13] as we do not make an estimation, instead we compute the Dirac terms explicitly.…”

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confidence: 99%

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

Gonzalez,

Kane,

Nguyen

2021

Preprint

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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 eV and 0.009 eV (0.05 eV and 0.05 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.

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“…Even while confronting other challenging problems through SUSY SO (10), explanation of neutrino data only has been considered adequate; some examples out of many such works in this direction include derivation of new seesaw mechanism with TeV scale Z [93], prediction of Axions [98], low-mass Z induced by flavor symmetry [100], realization of SUSY SO(10) from M − theory [99,101], predictions of inflaton mass [102], and Starobinsky type inflation [103], or quartic inflation [104] from SUSY SO (10). Generalised hidden flavour symmetries have been explored without confining to any particular type of fermion mass fits [105].…”

Section: Jhep04(2017)075mentioning

confidence: 99%

Standard coupling unification in SO(10), hybrid seesaw neutrino mass and leptogenesis, dark matter, and proton lifetime predictions

Parida

Nayak

Satpathy

et al. 2017

J. High Energ. Phys.

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We discuss gauge coupling unification of SU(3) C × SU(2) L × U(1) Y descending directly from non-supersymmetric SO(10) while providing solutions to the three outstanding problems of the standard model: neutrino masses, dark matter, and the baryon asymmetry of the universe. Conservation of matter parity as gauged discrete symmetry for the stability and identification of dark matter in the model calls for high-scale spontaneous symmetry breaking through 126 H Higgs representation. This naturally leads to the hybrid seesaw formula for neutrino masses mediated by heavy scalar triplet and right-handed neutrinos. Being quadratic in the Majorana coupling, the seesaw formula predicts two distinct patterns of right-handed neutrino masses, one hierarchical and another not so hierarchical (or compact), when fitted with the neutrino oscillation data. Predictions of the baryon asymmetry via leptogenesis are investigated through the decays of both the patterns of RHν masses. A complete flavor analysis has been carried out to compute CP-asymmetries including washouts and solutions to Boltzmann equations have been utilised to predict the baryon asymmetry. The additional contribution to vertex correction mediated by the heavy left-handed triplet scalar is noted to contribute as dominantly as other Feynman diagrams. We have found successful predictions of the baryon asymmetry for both the patterns of right-handed neutrino masses. The SU(2) L triplet fermionic dark matter at the TeV scale carrying even matter parity is naturally embedded into the non-standard fermionic representation 45 F of SO(10). In addition to the triplet scalar and the triplet fermion, the model needs a nonstandard color octet fermion of mass ∼ 5 × 10 7 GeV to achieve precision gauge coupling unification at the GUT mass scale M 0 U = 10 15.56 GeV.Open Access, c The Authors. Article funded by SCOAP 3 .doi:10.1007/JHEP04(2017)075 JHEP04(2017)075Threshold corrections due to superheavy components of 126 H and other representations are estimated and found to be substantial. It is noted that the proton life time predicted by the model is accessible to the ongoing and planned experiments over a wide range of parameter space.

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Neutrino mass from M theory SO(10)

Cited by 7 publications

References 54 publications

Seven-disk manifold, α -attractors, and B modes

Seven-disk manifold, α -attractors, and B modes

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

Standard coupling unification in SO(10), hybrid seesaw neutrino mass and leptogenesis, dark matter, and proton lifetime predictions

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