Nonzero<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>θ</mml:mi><mml:mn>13</mml:mn></mml:msub></mml:math>signals nonmaximal atmospheric neutrino mixing

Eby, David A.; Frampton, Paul H.

doi:10.1103/physrevd.86.117304

Cited by 19 publications

(12 citation statements)

References 46 publications

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“…Subsequent to the first appearance [8] of Eq. (2), a further analysis in [9] found consistency of Eq. (2) with experiment, although at that time the RHS of Eq.…”

Section: Introductionmentioning

confidence: 74%

“…Among the 28 free parameters associated with the standard model of particle theory, the six mixing angles Θ ij and θ ij (1 ≤ i < j ≤ 3) associated respectively with the quarks [1,2] and the neutrinos [3,4] are the nearest to being calculable in a plausible theory. We have in mind the use of the binary tetrahedral group T ′ as a family symmetry following the discussion in [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

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Second octant favored for non-maximal 𝜃23

Frampton

2017

Mod. Phys. Lett. A

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One of the most robust relationships predicted by binary tetrahedral (T ′ ) flavor symmetry relates the reactor neutrino angle θ 13 to the atmospheric neutrino angle θ 23 , independently of θ 12 . It has the form θ 13 = √ 2| ). This analysis initially assumes CP conservation in the lepton sector, but leptonic CP violation is discussed and it is shown that this specific T ′ relationship is invariant.

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“…Subsequent to the first appearance [8] of Eq. (2), a further analysis in [9] found consistency of Eq. (2) with experiment, although at that time the RHS of Eq.…”

Section: Introductionmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Second octant favored for non-maximal 𝜃23

Frampton

2017

Mod. Phys. Lett. A

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“…In the latter approach, one needs now to correct significantly the leading-order predictions, by taking into account a number of sub-leading effects. After the measurement of a relatively large θ 13 , several flavour models have been proposed, that predict a non-zero value of θ 13 at leading order [8][9][10][11][12][13][14][15][16]. In fact, non-extreme, correlated values of the mixing angles are the generic prediction of discrete flavour symmetries [17,18].…”

Section: Jhep07(2013)146mentioning

confidence: 99%

Minimal lepton flavour structures lead to non-maximal 2-3 mixing

Frigerio

Moral

2013

J. High Energ. Phys.

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Present data prefer a large but non-maximal 2 − 3 mixing in the lepton sector. We argue that this value, in connection with sin θ 13 0.15, is the generic outcome of minimal flavour structures. We present a few different incarnations of this statement, in terms of lepton mass matrices depending on a small number of parameters, that can be justified by discrete flavour symmetries. We also propose a general procedure to study the correlation between θ 23 , the absolute scale and ordering of the neutrino masses, and the leptonic CP-violating phases.

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“…In this vein, one popular parametrization was introduced in [39], which introduced deviations from TBM values using s, a, and r for the solar, atmospheric, and reactor mixing angles, respectively. Further work along this line, such as parameter scans in this space of deviations, include [40][41][42][43][44][45][46][47][48] and also [49][50][51][52], which used a similar approach but an equivalent set of parameters. One drawback of such approaches is that complete UV flavor models generally predict additional flavor violating effects, which are not captured in these low-energy deviation studies [53].…”

Section: Jhep02(2013)021mentioning

confidence: 99%

Compatibility of θ 13 and the Type I seesaw model with A 4 symmetry

Chen

Huang

O'Bryan

et al. 2013

J. High Energ. Phys.

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We derive formulae for neutrino masses and mixing angles in a type I seesaw framework with an underlying A 4 flavor symmetry. In particular, the Majorana neutrino mass matrix includes contributions from an A 4 triplet, 1, 1 ′ , and 1 ′′ flavon fields. Using these formulae, we constrain the general A 4 parameter space using the updated global fits on neutrino mixing angles and mass squared differences, including results from the Daya Bay and RENO experiments, and we find predictive relations among the mixing parameters for certain choices of the triplet vacuum expectation value. In the normal hierarchy case, sizable deviation from maximal atmospheric mixing is predicted, and such deviation is strongly correlated with the value of θ 13 in the range of ∼ (8 − 10) • . On the other hand, such deviation is negligible and insensitive to θ 13 in the inverted mass hierarchy case. We also show expectations for the Dirac CP phase resulting from the parameter scan. Future refined measurements of neutrino mixing angles will test these predicted correlations and potentially show evidence for particular triplet vev patterns.

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Nonzeroθ13signals nonmaximal atmospheric neutrino mixing

Cited by 19 publications

References 46 publications

Second octant favored for non-maximal 𝜃23

Second octant favored for non-maximal 𝜃23

Minimal lepton flavour structures lead to non-maximal 2-3 mixing

Compatibility of θ 13 and the Type I seesaw model with A 4 symmetry

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