Bilarge Neutrino Mixing and Abelian Flavor Symmetry

Gui-Jun Ding; J. W. F. Valle; S. Morisi

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Bilarge Neutrino Mixing and Abelian Flavor Symmetry

Gui-Jun Ding, S. Morisi, J. W. F. Valle

High Energy Physics - Phenomenology · Submitted 28 Nov 2012

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

The authors' main claim The models are extended to the quark sector within the framework of SU(5) grand unified theory in order to give a successful description of quark and lepton masses and mixing simultaneously.

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We explore two bilarge neutrino mixing anz$\ddot{a}$tze within the context of Abelian flavor symmetry theories: ($\mathrm{\tt BL_1}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim\lambda$, and ($\mathrm{\tt BL_2}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim 1-\lambda$. The first pattern is proposed by two of us and is favored if the atmospheric mixing angle $\theta_{23}$ lies in the first octant, while the second one is preferred for the second octant of $\theta_{23}$. In order to reproduce the second texture, we find that the flavor symmetry should be $U(1)\times Z_m$, while for the first pattern the flavor symmetry should be extended to $U(1)\times Z_m\times Z_n$ with $m$ and $n$ of different parity. Explicit models for both mixing patterns are constructed based on the flavor symmetries $U(1)\times Z_3\times Z_4$ and $U(1)\times Z_2$. The models are extended to the quark sector within the framework of SU(5) grand unified theory in order to give a successful description of quark and lepton masses and mixing simultaneously. Phenomenological implications are discussed.

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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	We explore two bilarge neutrino mixing anz$\ddot{a}$tze within the context of Abelian flavor symmetry theories: ($\mathrm{\tt BL_1}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim\lambda$, and ($\mathrm{\tt BL_2}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim 1-\lambda$.	contribution 0.98	0.56	0.08	asserted 0.83
s1	The first pattern is proposed by two of us and is favored if the atmospheric mixing angle $\theta_{23}$ lies in the first octant, while the second one is preferred for the second octant of $\theta_{23}$.	result 0.52	0.44	0.21	asserted 0.73
s2	In order to reproduce the second texture, we find that the flavor symmetry should be $U(1)\times Z_m$, while for the first pattern the flavor symmetry should be extended to $U(1)\times Z_m\times Z_n$ with $m$ and $n$ of different parity.	result 0.74	0.93	0.19	asserted 1.00
s3	Explicit models for both mixing patterns are constructed based on the flavor symmetries $U(1)\times Z_3\times Z_4$ and $U(1)\times Z_2$.	contribution 0.56	0.93	0.09	asserted 1.00
s4	The models are extended to the quark sector within the framework of SU(5) grand unified theory in order to give a successful description of quark and lepton masses and mixing simultaneously.	contribution 0.68	0.89	0.13	asserted 0.96
s5	Phenomenological implications are discussed.	contribution 0.68	0.63	0.04	unclear 0.56

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.86.

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The paper

Original abstract

We explore two bilarge neutrino mixing anz$\ddot{a}$tze within the context of Abelian flavor symmetry theories: ($\mathrm{\tt BL_1}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim\lambda$, and ($\mathrm{\tt BL_2}$) $\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$, $\sin\theta_{23}\sim 1-\lambda$. The first pattern is proposed by two of us and is favored if the atmospheric mixing angle $\theta_{23}$ lies in the first octant, while the second one is preferred for the second octant of $\theta_{23}$. In order to reproduce the second texture, we find that the flavor symmetry should be $U(1)\times Z_m$, while for the first pattern the flavor symmetry should be extended to $U(1)\times Z_m\times Z_n$ with $m$ and $n$ of different parity. Explicit models for both mixing patterns are constructed based on the flavor symmetries $U(1)\times Z_3\times Z_4$ and $U(1)\times Z_2$. The models are extended to the quark sector within the framework of SU(5) grand unified theory in order to give a successful description of quark and lepton masses and mixing simultaneously. Phenomenological implications are discussed.

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References

Forward citations

Cited by 7 Pith papers

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

Non-Invertible Froggatt-Nielsen Symmetry
hep-ph 2026-10 conditional novelty 6.0 of 10

An instanton that breaks a non-invertible Z4 Froggatt-Nielsen symmetry generates exponentially small Dirac neutrino Yukawa couplings with epsilon-power flavor hierarchies, giving m2/m3 ~ epsilon from the same charge a...
Warped flavor symmetry predictions for neutrino physics
hep-ph 2015-09 conditional novelty 5.0 of 10

A warped extra-dimensional model with Δ(27) flavor symmetry yields the parameter-free relation sin²θ12 cos²θ13 = 1/3 between solar and reactor neutrino mixing, plus a CP-phase prediction.
Dirac neutrinos from flavor symmetry
hep-ph 2013-07 conditional novelty 5.0 of 10

A Delta(27) flavor-symmetry model forbids Majorana neutrino masses, making neutrinos Dirac, and fits oscillation data with a correlation between the atmospheric octant and the lightest neutrino mass.
Generalised CP and Trimaximal TM$_1$ Lepton Mixing in $S_4$ Family Symmetry
hep-ph 2013-12 conditional novelty 4.0 of 10

S4 family symmetry combined with generalized CP, broken to a Z2 subgroup in the neutrino sector, yields trimaximal TM1 lepton mixing with trivial Majorana phases and Dirac CP either conserved or maximal.
Pieces of the Flavour Puzzle
hep-ph 2015-03 accept novelty 3.0 of 10

The review argues that fermion masses and mixing angles can be organized by a single map with order-one inputs, realizable in many frameworks including SU(5) and SO(10) unification, but that no compelling symmetry pri...

Show 2 more citing papers

Neutrino Mass and Mixing: from Theory to Experiment
hep-ph 2014-02 accept novelty 3.0 of 10

A structured review of discrete non-Abelian family symmetries in neutrino physics, covering finite-group theory, model-building strategies (flavons vs multi-Higgs, direct vs indirect), and the mixing and mass sum rule...
Neutrino Mass and Mixing with Discrete Symmetry
hep-ph 2013-01 conditional novelty 3.0 of 10

Discrete family symmetry remains a viable framework for neutrino flavour after Daya Bay and RENO, but only if models include controlled corrections, new flavon alignments, or larger groups that generate a non-zero rea...

How the literature uses it

19 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 · 23 sentences without a confident label

Cites it as background 8 papers

The geometrical origin of the BL model is explored originally in Ref. [ref] .

Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation · Introduction · 0.94
An interesting lepton mixing scheme called “Bi-Large” (BL) mixing has been proposed recently [ref] and subsequently studied in Refs. [ref] .

The Cabibbo angle as a universal seed for quark and lepton mixings · Introduction · 0.97
Models based on this approach have been discussed extensively (see, e.g., [ref] for some recent works) and they often lead to intriguing mixing patterns, including the well-known tribimaximal mixing (TBM) [ref] and bimaximal mixing (BM) [ref] .

Neutrino Mixing and Discrete Symmetries · Introduction · 0.97

What it cites · 25 sentences without a confident label

Uses data or values from 6 papers

Inspecting the global data fitting [ref] , we see that $sinθ_12≃2.5λ$ and $sinθ_13≃λ/√(2)$, which is proposed in the so-called Tri-bimaximal-Cabibbo mixing [ref] and also appeared in the context of quark-lepton complementarity [ref] .

A new relation between quark and lepton mixing matrices · Introduction · 0.89
Inspecting the global data fitting [ref] , we see that $sinθ_12≃2.5λ$ and $sinθ_13≃λ/√(2)$, which is proposed in the so-called Tri-bimaximal-Cabibbo mixing [ref] and also appeared in the context of quark-lepton complementarity [ref] .

Tri-bimaximal-Cabibbo Mixing · Introduction · 0.89
Inspecting the global data fitting [ref] , we see that $sinθ_12≃2.5λ$ and $sinθ_13≃λ/√(2)$, which is proposed in the so-called Tri-bimaximal-Cabibbo mixing [ref] and also appeared in the context of quark-lepton complementarity [ref] .

Global fit to three neutrino mixing: critical look at present precision · Introduction · 0.89

Cites as background 8 papers

So far many suggestions have been advanced to explain the new data, in particular the largish $θ_13$ [ref] .

Bi-large neutrino mixing and the Cabibbo angle · Introduction · 0.93
So far many suggestions have been advanced to explain the new data, in particular the largish $θ_13$ [ref] .

A Grand Delta(96) x SU(5) Flavour Model · Introduction · 0.93
So far many suggestions have been advanced to explain the new data, in particular the largish $θ_13$ [ref] .

Common Origin of mu-tau and CP Breaking in Neutrino Seesaw, Baryon Asymmetry, and Hidden Flavor Symmetry · Introduction · 0.93

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