A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}

Zhi-zhong Xing

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A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}

Zhi-zhong Xing

High Energy Physics - Phenomenology · Submitted 12 Nov 2010

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

The authors' main claim We show that reasonable perturbations to the democratic mixing pattern, which is geometrically related to the tri-bimaximal mixing pattern through an equal shift \theta_* \simeq 9.7^\circ of two large mixing angles, can naturally produce a nearly tri-bimaximal neutrino mixing matrix V with sufficiently large theta_{13}.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.02 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.66 · mentions code or data availability 0.02.

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

Recent neutrino oscillation data hint that the smallest neutrino mixing angle theta_{13} is possible to lie in the range 5^\circ \lesssim \theta_{13} \lesssim 12^\circ. We show that reasonable perturbations to the democratic mixing pattern, which is geometrically related to the tri-bimaximal mixing pattern through an equal shift \theta_* \simeq 9.7^\circ of two large mixing angles, can naturally produce a nearly tri-bimaximal neutrino mixing matrix V with sufficiently large theta_{13}. Two especially simple but viable scenarios of V are proposed and their phenomenological consequences 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	Recent neutrino oscillation data hint that the smallest neutrino mixing angle theta_{13} is possible to lie in the range 5^\circ \lesssim \theta_{13} \lesssim 12^\circ.	background 1.00	0.05	0.05	hedged possibility 1.00
s1	We show that reasonable perturbations to the democratic mixing pattern, which is geometrically related to the tri-bimaximal mixing pattern through an equal shift \theta_* \simeq 9.7^\circ of two large mixing angles, can naturally produce a nearly tri-bimaximal neutrino mixing matrix V with sufficiently large theta_{13}.	contribution 0.80	0.92	0.85	asserted 0.99
s2	Two especially simple but viable scenarios of V are proposed and their phenomenological consequences are discussed.	contribution 1.00	0.93	0.08	asserted 0.97

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.58.

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arXiv listing abstract v2

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The paper

Original abstract

Recent neutrino oscillation data hint that the smallest neutrino mixing angle theta_{13} is possible to lie in the range 5^\circ \lesssim \theta_{13} \lesssim 12^\circ. We show that reasonable perturbations to the democratic mixing pattern, which is geometrically related to the tri-bimaximal mixing pattern through an equal shift \theta_* \simeq 9.7^\circ of two large mixing angles, can naturally produce a nearly tri-bimaximal neutrino mixing matrix V with sufficiently large theta_{13}. Two especially simple but viable scenarios of V are proposed and their phenomenological consequences are discussed.

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5 arXiv papers cite this in 7 sentences

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Compares with it 1 paper

* The Jarlskog invariant [ref] can be directly calculated through its definition: [equation] The first term agrees with the result in Ref. [ref] , which could be treated as the prediction of the NNE approach.

A Nearest-neighbor Expansion of Lepton Flavor Mixing in Powers of the $\mu$-$\tau$ Permutation Symmetry Breaking Effect · The Expansion of $U$ · 0.93

What it cites · 5 sentences without a confident label

Uses data or values from 1 paper

For example, $θ^_13 ≃5.1^+3.0^∘_-3.3^∘$ ($1σ$) by Gonzalez-Garcia et al [ref] , $θ^_13 ≃7.3^+2.0^∘_-2.9^∘$ (1$σ$) by Fogli et al [ref] , and $θ^_13 ≃8.1^+2.8^∘_-4.5^∘$ as the best-fit value by the KamLAND Collaboration [ref] .

Constraints on $\theta_{13}$ from A Three-Flavor Oscillation Analysis of Reactor Antineutrinos at KamLAND · Introduction · 0.91

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