Cp-Violation in Neutrino Oscillations and L/E Flatness of the E-Like Event Ratio at Super-Kamiokande

Ahluwalia, Dharam Vir; Liu, Y.; Stancu, I.

doi:10.1142/s0217732302006138

Cited by 5 publications

(4 citation statements)

References 22 publications

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“…where the CP -violating effects are suppressed by the smallness of U e3 and ∆m 2 12 , which would explain why present data are consistent with unity. While such compensation theorems have been noted previously by several authors for specific models [8,13], we emphasise here the perfect compensation of the CP -even terms for the generality of models with µ − τ reflection symmetry, and for arbitrary matter profiles. We note furthermore, that although naively there is a partial cancellation in Eq.…”

Section: Application To Atmospheric Neutrinossupporting

confidence: 67%

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μ–τ reflection symmetry in lepton mixing and neutrino oscillations

2002

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We examine the possibility that the lepton mixing matrix may exhibit a strong form of µ − τ universality, in which corresponding elements of the µ-and τneutrino flavour eigenstates have equal moduli, and find that it is consistent with present data on neutrino oscillations. We point out that in the Dirac case, this is equivalent to symmetry under µ − τ reflection, ie. the combined operation of µ − τ flavour exchange in the MNS matrix with a CP transformation on the whole leptonic sector. We give the most general form for such a mixing matrix, examine the lepton mass matrices under such a symmetry, and explore the observable manifestations of the symmetry in neutrino oscillations.

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Section: Application To Atmospheric Neutrinossupporting

confidence: 67%

“…The generalisation of these hypotheses to a unitary mixing matrix simply satisfying Eq. ( 1) was already identified as interesting in [12] and such a mixing matrix was implicit in [13]. In this paper, we examine this class of mixing matrices and the associated phenomenology in more detail.…”

Section: Strong µ − τ Universality In Lepton Mixingmentioning

confidence: 90%

μ–τ reflection symmetry in lepton mixing and neutrino oscillations

2002

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“…Analyses of the data in the context of three-neutrino mixing can be found in Refs. [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18]. Conventionally, the standard model of the electroweak interaction is extended to include a mass term for the neutrinos and a unitary mixing matrix which relates the flavor states of the neutrinos to the mass eigenstates.…”

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confidence: 99%

Physical region for three-neutrino mixing angles

Latimer

Ernst

2005

Phys. Rev. D

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We derive a set of symmetry relations for the three-neutrino mixing angles, including the MSW matter effect. Though interesting in their own right, these relations are used to choose the physical region of the mixing angles such that oscillations are parameterized completely and uniquely. We propose that the preferred way of setting the bounds on the mixing angles should be $\theta_{12} \in [0,\pi/2]$, $\theta_{13} \in [-\pi/2,\pi/2]$, $\theta_{23}\in [0,\pi/2]$, and $\delta \in [0,\pi)$. No CP violation then results simply from setting $\delta=0$. In the presence of the MSW effect, this choice of bounds is a new result. Since the size of the asymmetry about $\theta_{13} = 0$ is dependent on the details of the data analysis and is a part of the results of the analysis, we argue that the negative values of $\theta_{13}$ should not be ignored.Comment: 4 page

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“…This observation was first made in reference [22]. The δ obtained in [22] was also introduced recently as an Ansatz in Ref.…”

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confidence: 85%

CP Violating Tri-Bimaximal-Cabibbo Mixing

Ahluwalia

2012

ISRN High Energy Physics

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In view of the new data from the Daya Bay and RENO collaborations, King has presented a very natural deformation of tri-bimaximal mixing. Here, we show that L/E flatness of the e-like event ratio in the atmospheric neutrino data, when coupled with King's observation that the smallest neutrino mixing angle, θ 13 , seems to be related to the largest quark mixing angle the Cabibbo angle θ C , leading to a CP violating tri-bimaximal-Cabibbo mixing. King's tri-bimaximal-Cabibbo mixing follows as a leading order approximation from our result.

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Cp-Violation in Neutrino Oscillations and L/E Flatness of the E-Like Event Ratio at Super-Kamiokande

Cited by 5 publications

References 22 publications

μ–τ reflection symmetry in lepton mixing and neutrino oscillations

μ–τ reflection symmetry in lepton mixing and neutrino oscillations

Physical region for three-neutrino mixing angles

CP Violating Tri-Bimaximal-Cabibbo Mixing

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