Neutrino mass textures from F-theory

G. K. Leontaris; I. Antoniadis

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Neutrino mass textures from F-theory

I. Antoniadis, G. K. Leontaris

High Energy Physics - Theory · Submitted 7 Aug 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Realistic models are presented for the case of monodromies based on their transitive subgroups.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.30 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Experimental data on the neutrino mixing and masses strongly suggest an underlying approximate symmetry of the relevant Yukawa superpotential terms. Intensive phenomenological explorations during the last decade indicate that permutation symmetries such as S_4, A_4 and their subgroups, under certain assumptions and vacuum alignments, predict neutrino mass textures compatible with such data. Motivated by these findings, in the present work we analyse the neutrino properties in F-theory GUT models derived in the framework of the maximal underlying E_8 symmetry in the elliptic fibration. More specifically, we consider local F-SU(5) GUT models and study in detail spectral cover geometries with monodromies associated to the finite symmetries S_4, A_4 and their transitive subgroups, including the dihedral group D_4 and Z_2 X Z_2. We discuss various issues that emerge in the implementation of S_4, A_4 neutrino models in the F-theory context and suggest how these can be resolved. Realistic models are presented for the case of monodromies based on their transitive subgroups. We exemplify this procedure with a detailed analysis performed for the case of Z_2 X Z_2 model.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Experimental data on the neutrino mixing and masses strongly suggest an underlying approximate symmetry of the relevant Yukawa superpotential terms.	background 1.00	0.05	0.05	hedged possibility 0.86
s1	Intensive phenomenological explorations during the last decade indicate that permutation symmetries such as S_4, A_4 and their subgroups, under certain assumptions and vacuum alignments, predict neutrino mass textures compatible with such data.	background 1.00	0.05	0.05	hedged possibility 0.87
s2	Motivated by these findings, in the present work we analyse the neutrino properties in F-theory GUT models derived in the framework of the maximal underlying E_8 symmetry in the elliptic fibration.	contribution 0.97	0.61	0.05	asserted 0.90
s3	More specifically, we consider local F-SU(5) GUT models and study in detail spectral cover geometries with monodromies associated to the finite symmetries S_4, A_4 and their transitive subgroups, including the dihedral group D_4 and Z_2 X Z_2.	method 0.57	0.88	0.06	asserted 0.97
s4	We discuss various issues that emerge in the implementation of S_4, A_4 neutrino models in the F-theory context and suggest how these can be resolved.	contribution 0.98	0.85	0.09	hedged possibility 0.68
s5	Realistic models are presented for the case of monodromies based on their transitive subgroups.	result 0.53	0.91	0.31	asserted 1.00
s6	We exemplify this procedure with a detailed analysis performed for the case of Z_2 X Z_2 model.	contribution 0.58	0.93	0.10	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.83.

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The paper

Original abstract

Experimental data on the neutrino mixing and masses strongly suggest an underlying approximate symmetry of the relevant Yukawa superpotential terms. Intensive phenomenological explorations during the last decade indicate that permutation symmetries such as S_4, A_4 and their subgroups, under certain assumptions and vacuum alignments, predict neutrino mass textures compatible with such data. Motivated by these findings, in the present work we analyse the neutrino properties in F-theory GUT models derived in the framework of the maximal underlying E_8 symmetry in the elliptic fibration. More specifically, we consider local F-SU(5) GUT models and study in detail spectral cover geometries with monodromies associated to the finite symmetries S_4, A_4 and their transitive subgroups, including the dihedral group D_4 and Z_2 X Z_2. We discuss various issues that emerge in the implementation of S_4, A_4 neutrino models in the F-theory context and suggest how these can be resolved. Realistic models are presented for the case of monodromies based on their transitive subgroups. We exemplify this procedure with a detailed analysis performed for the case of Z_2 X Z_2 model.

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References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Landscaping with fluxes and the E8 Yukawa Point in F-theory
hep-th 2014-04 conditional novelty 7.0 of 10

An integral monodromy basis for Calabi-Yau fourfold periods is constructed and cross-checked, then used to argue that integer fluxes can drive F-theory moduli to orbifold and gauge-enhancement loci.
Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
hep-th 2014-08 conditional novelty 6.0 of 10

Deforming a two-section elliptic fibration to a bi-section realises a Z2 discrete gauge symmetry in four-dimensional F-theory, and a generalised Shioda divisor assigns Z2 charges that forbid specific SU(5) Yukawa couplings.
Models of Neutrino Mass, Mixing and CP Violation
hep-ph 2015-10 conditional novelty 3.0 of 10

Neutrino mixing data, especially the large reactor angle, is argued to favour models with a non-Abelian discrete family symmetry and constrained sequential dominance, which tie lepton mixing angles to a single CP-viol...
Unified Models of Neutrinos, Flavour and CP Violation
hep-ph 2017-01 accept novelty 2.0 of 10

A review argues that viable neutrino flavour models should be predictive, minimal, symmetry-based, and unified, and presents the Littlest Seesaw as the leading candidate.

How the literature uses it

13 arXiv papers cite this in 31 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 25 sentences without a confident label

Uses its method or tool 1 paper

In our approach, we use the non abelian flux conjecture of [ref] to think of monodromy group of F- theory $SU_5$ models as a non abelian flavor symmetry $Γ$.

MSSM-like from $SU_{5}\times D_{4}$ Models · Introduction · 0.91

Cites it as background 4 papers

Our presentation will rely mainly on the work of ref [ref] as well as in [ref] and especially [ref] where non-Abelian fluxes are conjectured to give rise to non-Abelian discrete family symmetries in the low energy effective theory.

Phenomenological implications of a minimal F-theory GUT with discrete symmetry · Discrete symmetries from the spectral cover · 0.93
We begin by recalling that in $SO_10×𝕊_4$ model of F-theory GUTs, matter curves carry quantum numbers in the $SO_10×SU_4^$ representations following from the breaking of the E$_8$ gauge symmetry of F-theory on elliptically fibered Calabi-Yau fourfold (CY4) with 7-brane wrapping $𝒮_GUT$; the so called GUT surface [ref] , [equation] In this construction, the base $ℬ_3$ is a complex 3 $$ manifold containing $𝒮_GUT$; and the fiber E is given by a particular Tate representation of the complex elliptic curve, namely [equation] where the homology classes $[ x] ,$ $[ y] ,$ $[ z ]$, $[ b_k] ,$ associated with the holomorphic sections $x,$ $y,$ $z$ and $b_k,$ are expressed in terms of the Chern class $c_1=c__1( 𝒮_GUT)$ of the tangent bundle of the $𝒮_GUT$ surface; and the Chern class $-t$ of the normal bundle $𝒩_𝒮_GUT|ℬ_3$ as follows [equation] [equation] Recall also that in $SO_10$ models buildin

Building SO$_{10}$- models with $\mathbb{D}_{4}$ symmetry · $SO_10×𝕊_4$ model · 0.90
We will not elaborate on this issue any further; some related phenomenological analysis can be found in [ref] .

On the LHC signatures of $SU(5)\times U(1)'$ F-theory motivated models · Phenomenological Analysis · 0.94

What it cites · 35 sentences without a confident label

Uses the method or tool of 3 papers

In doing so, we will employ the techniques developed in the context of the spectral cover [ref] .

Higgs Bundles and UV Completion in F-Theory · Introduction · 1.00
In doing so, we will follow [ref] and argue that the manifold and flux data may turn to invariance properties of the spectral surface and see how this can translate into an action on the matter wavefunctions.

Flavor Structure in F-theory Compactifications · The Origin of Family Symmetries in F-theory · 0.86
A simple bottom-up approach how to incarnate such discrete symmetries in local models was applied in [ref] and could be described as follows.

Building SO(10) models from F-theory · Spectral cover discrete symmetries · 0.82

Uses data or values from 3 papers

In figure [ref] we plot the bounds put by the experimental ranges [ref] .

Global fit to three neutrino mixing: critical look at present precision · Lepton Masses · 0.89
The third column shows the homology classes of the matter curves computed in [ref] .

Building SO(10) models from F-theory · $SU(5)$ spectrum · 0.80
The third column shows the homology classes of the matter curves computed in [ref] .

On hypercharge flux and exotics in F-theory GUTs · $SU(5)$ spectrum · 0.80

Cites as background 13 papers

F-theory Grand Unified Models (F-GUTs) [ref] provide novel ways to compute Yukawa interactions which are capable of describing convincingly the observed fermion mass hierarchy.

GUTs and Exceptional Branes in F-theory - II: Experimental Predictions · Introduction · 0.86
F-theory Grand Unified Models (F-GUTs) [ref] provide novel ways to compute Yukawa interactions which are capable of describing convincingly the observed fermion mass hierarchy.

Model Building with F-Theory · Introduction · 0.86
F-theory Grand Unified Models (F-GUTs) [ref] provide novel ways to compute Yukawa interactions which are capable of describing convincingly the observed fermion mass hierarchy.

Breaking GUT Groups in F-Theory · Introduction · 0.86

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