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Duarah, Chandan; Das, Abhijeet; Singh, N. Nimai

doi:10.1016/j.physletb.2012.10.033

Cited by 18 publications

(7 citation statements)

References 21 publications

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“…). We mend U k eL on associating it with R 23 (θ) [34] and construct the new charged lepton mixing matrix,U eL . Where, U eL = U k eL .R 23 (θ) and R 23 (θ) is the rotational matrix in 2 − 3 plane.…”

Section: Charged Lepton Mixing Matrixmentioning

confidence: 99%

“…But the predictions of the mixing angles are not affected by the presence of CP phase and these coincide with the predictions in eqs. (32,33,34).…”

Section: The Effect Of Dirac Cp Phaseδ Cpmentioning

confidence: 99%

“…The prediction of sin 2 θ 12 is affected while the rest preserves the same expression given in eqs. (32,34),…”

Section: δ Cp From U ν Through U T B (Neutrino Sector)mentioning

confidence: 99%

“…Similarly, on investigating the PMNS matrix U P M N S on same footing as earlier, the effect of δ cp is realized only in the solar angle prediction; other angles remain same as before[eqs. (32,34)],…”

Section: δ Cp From U ν Through U T B (Neutrino Sector)mentioning

confidence: 99%

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Leptonic mixing matrix in terms of Cabibbo angle

Roy,

Singh

2013

Preprint

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We phenomenologically build a neutrino mass matrix which obeys the µ−τ symmetry with only two free parameters, Cabibbo angle (λ) and a flavour twister parameter(η). For vanishing η, the model assumes TBM mixing. When η = λ, the model generates a solar angle and solar mass squared difference that coincide with the experimental best-fits. It motivates us to propose a mixing matrix in the neutrino sector, with θ 12 < sin −1 (1/ √ 3), θ 13 = 0 and θ 23 = π/4. The corrections in θ 13 and θ 23 are conducted following the breaking of µ − τ symmetry, by choosing a proper unitary diagonalizing charged lepton matrix, and this ensures the fact that θ 23 lies within the first octant. The Cabibbo angle (λ = sin θ c ) plays the role of a guiding parameter in both neutrino as well as leptonic sector. The effect of the Dirac CP violating phase δ cp is also studied when it enters either through the charged leptonic mixing matrix or through neutrino mixing matrix.

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Section: Charged Lepton Mixing Matrixmentioning

confidence: 99%

“…But the predictions of the mixing angles are not affected by the presence of CP phase and these coincide with the predictions in eqs. (32,33,34).…”

Section: The Effect Of Dirac Cp Phaseδ Cpmentioning

confidence: 99%

“…The prediction of sin 2 θ 12 is affected while the rest preserves the same expression given in eqs. (32,34),…”

Section: δ Cp From U ν Through U T B (Neutrino Sector)mentioning

confidence: 99%

Section: δ Cp From U ν Through U T B (Neutrino Sector)mentioning

confidence: 99%

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Leptonic mixing matrix in terms of Cabibbo angle

Roy,

Singh

2013

Preprint

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“…All these parameters are contained within, U , the so called Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix or lepton mixing matrix which under Standard parametrization, appears as shown, U = R 23 (θ 23 )U 13 (θ 13 : δ)R 12 (θ 12 ).P, (1) where, P is the diagonal matrix that shelters the two Majorana phases. In symmetry basis, where both charged lepton and neutrino mass matrices are considered as non-diagonal, one can identify the lepton mixing matrix, U = U † lL .U ν [42][43][44][45][46][47][48], where, U lL is the left handed charged lepton diagonalizing matrix and U ν is the neutrino mixing matrix. If it is the flavor basis, only charged lepton mass matrix is diagonal, and one sees, U = U ν .…”

Section: Introductionmentioning

confidence: 99%

Modulated bimaximal neutrino mixing

Roy,

Singh

2016

Preprint

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The present article is an endeavor to look into some fruitful frameworks based on "Bi-maximal" neutrino mixing, from a model independent stand. The possibilities involving the correction or attenuation of the original BM mixing matrix, followed by GUT-inspired charged lepton correction are invoked. The "symmetry-basis" thus constructed, accentuates some interesting facets such as: a modified QLC relation, θ12 + θc ≈ π 4 − θ13 cos(nπ − δCP ), a possible link up between neutrino and charged lepton sectors, θ ν 13 = θ l 12 ∼ O(θC ) or that between neutrinos and quarks, θ ν 13 = θC . The study vindicates the relevance of the Bi-maximal mixing as a first approximation.

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