Bi-pair neutrino mixing

Kitabayashi, Teruyuki; Yasuè, Masaki

doi:10.1016/j.physletb.2011.01.008

Cited by 12 publications

(17 citation statements)

References 65 publications

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Order By: Relevance

“…Therefore, we have retained the terms of the second order in ǫ ij in Eq. (11). Although numerical calculations are performed with approximate unitarity kept, results of our estimations will be shown within the first order in ǫ ij to avoid apparent complexity of derived expressions.…”

Section: Modified Bipair Neutrino Mixingmentioning

confidence: 99%

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CP violation in bipair neutrino mixing

Kitabayashi

Yasuè

2013

Physics Letters B

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There are experimentally determined two best-fit points for the atmospheric neutrino mixing angle θ 23 : sin 2 θ 23 = 0.413 (case A) and sin 2 θ 23 = 0.594 (case B). In the bipair neutrino mixing scheme, we predict sin 2 θ 23 = √ 2 − 1 (case 1) to be consistent with the case A and sin 2 θ 23 = 2 − √ 2 (case 2) to be consistent with the case B. If the case B is realized in nature, the bipair neutrino mixing provides a unique neutrino model consistent with the observation sin 2 θ 23 = 0.594. However, the reactor neutrino mixing angle θ 13 is predicted to be sin 2 θ 13 = 0, which is inconsistent with the observation. We propose a new modification scheme to yield sin 2 θ 13 = 0 utilizing the charged lepton contribution and study its effect on both of CPviolating Dirac and Majorana phases, which is numerically estimated. It is found that there appear striking differences between the case 1 and the case 2 in their phase structure.

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Section: Modified Bipair Neutrino Mixingmentioning

confidence: 99%

“…We will also use the notation of t ij = tan θ ij . There is a theoretical prediction of these mixing angles based on the bipair neutrino mixing scheme [11]. In the bipair neutrino mixing scheme, there are two sets of solutions referred to as case 1 and case 2.…”

Section: Introductionmentioning

confidence: 99%

CP violation in bipair neutrino mixing

Kitabayashi

Yasuè

2013

Physics Letters B

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“…The bipair neutrino mixing U BP is determined by a mixing matrix U 0 with two pairs of identical magnitudes of matrix elements. 5 The bipair neutrino mixing is parametrized as:…”

Section: Bipair Neutrino Mixingmentioning

confidence: 99%

“…1 There is a theoretical prediction of these mixing angles based on the bipair neutrino mixing scheme. 5 The bipair neutrino mixing is the one of the candidate of the neutrino mixing schemes. Although the bipair neutrino mixing scheme does not originate from any symmetry argument imposed either on the neutrino mass matrix or on the Lagrangian, it seems that the predicted values of the solar and atmospheric mixing angles are compatible with the observed data.…”

Section: Introductionmentioning

confidence: 99%

Bipair Neutrino Mixing and Leptogenesis

Kitabayashi

2013

Mod. Phys. Lett. A

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We estimate the baryon-photon ratio in the Universe via the leptogenesis scenario in the framework of the minimal seesaw model with a minimally modified bipair neutrino mixing. We assume that one of the elements of the 3×2 Dirac mass matrix m D is exactly zero. It turns out that the lepton asymmetry as well as baryon number of the Universe definitely depends on the reactor neutrino mixing angle in the cases of (m D ) 11 = 0 and (m D ) 12 = 0. The allowed region of the Majorana CP phase is separated into three regions related to the assumption of either (m D ) 11 = 0, (m D ) 21,31 = 0 or (m D ) 12 = 0.

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“…There are various theoretical discussions that predict these mixing angles in literatures [23,24,25]. Among others, original bipair neutrino mixing scheme has been proposed [26] and is based on the following constraints on U P M N S :…”

Section: Introductionmentioning

confidence: 99%

Parametrization of Pontecorvo–Maki–Nakagawa–Sakata mixing matrix based on CP-violating bipair neutrino mixing

et al. 2015

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CP violation in neutrino interactions is described by three phases contained in Pontecorvo-Maki-Nakagawa-Sakata mixing matrix (U PMNS ). We argue that the phenomenologically consistent result of the Dirac CP violation can be obtained if U PMNS is constructed along bipair neutrino mixing scheme, namely, requiring that |U 12 | = |U 32 | and |U 22 | = |U 23 | (case 1) and |U 12 | = |U 22 | and |U 32 | = |U 33 | (case 2), where U ij stands for the i × j matrix element of U PMNS . As a result, the solar, atmospheric and reactor neutrino mixing angles θ 12 , θ 23 and θ 13 , respectively, are correlated to satisfy cos 2θ 12 = sin 2 θ 23 − tan 2 θ 13 (case 1) or cos 2θ 12 = cos 2 θ 23 − tan 2 θ 13 (case 2). Furthermore, if Dirac CP violation is observed to be maximal, θ 23 is determined by θ 13 to be: sin 2 θ 23 ≈ √ 2 − 1 cos 2 θ 13 + √ 2 sin 2 θ 13 (case 1) or cos 2 θ 23 ≈ √ 2 − 1 cos 2 θ 13 + √ 2 sin 2 θ 13 (case 2). For the case of non-maximal Dirac CP violation, we perform numerical computation to show relations between the CP-violating Dirac phase and the mixing angles.

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Bi-pair neutrino mixing

Cited by 12 publications

References 65 publications

CP violation in bipair neutrino mixing

CP violation in bipair neutrino mixing

Bipair Neutrino Mixing and Leptogenesis

Parametrization of Pontecorvo–Maki–Nakagawa–Sakata mixing matrix based on CP-violating bipair neutrino mixing

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