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Related papers: Neutrino Mixing Sum Rules and Oscillation Experime…

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A brief review of the experimental status of neutrino mixing. The model of neutrino oscillations has now been established with high confidence, with many of the model parameters measured to an accuracy of a few per cent. However, some…

High Energy Physics - Experiment · Physics 2011-07-21 Justin Evans

The unprecedented precision now being achieved in the measurement of the Pontecorvo--Maki--Nakagawa--Sakata (PMNS) lepton mixing matrix opens a new window onto the underlying structure of the neutrino mass matrix and the possibly associated…

High Energy Physics - Phenomenology · Physics 2026-04-02 Alessio Giarnetti , Simone Marciano , Davide Meloni

We revisit mixing sum rule relations in the lepton and quark sectors under the assumption that the 1-3 elements of the flavour mixing matrices ($V^u_L,V^d_L,V^e_L,V^\nu_L$) are zero in the flavour basis. We consider the exact relations…

High Energy Physics - Phenomenology · Physics 2022-08-24 Stefan Antusch , Kevin Hinze , Shaikh Saad

Current neutrino data are consistent with the so-called tribimaximal mixing scenario, which predicts \sin^2 \theta_{12}=1/3, zero U_{e3} and maximal \theta_{23}. This implies a special form of the neutrino mass matrix. Introducing small…

High Energy Physics - Phenomenology · Physics 2014-11-18 F. Plentinger , W. Rodejohann

Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the predictions based on the sum rules which…

High Energy Physics - Phenomenology · Physics 2015-05-12 I. Girardi , S. T. Petcov , A. V. Titov

A neutrino mass matrix is considered under conditions of a CP invariance and a small reactor mixing $\theta_{13}$ angle. Absolute mass values for three neutrinos are evaluated for normal and inverted hierarchy spectra on the ground of data…

High Energy Physics - Phenomenology · Physics 2009-05-20 V. V. Khruschov

Recently, the reactor mixing angle $\theta_{13}$ has been measured precisely by Daya Bay, RENO and T2K experiments with a moderately large value. However, the standard form of neutrino mixing patterns such as bimaximal, tri-bimaximal,…

High Energy Physics - Phenomenology · Physics 2015-09-02 Sruthilaya M. , Soumya C. , K. N. Deepthi , R. Mohanta

In view of the recent announcement on non-zero neutrino mass from Super-Kamiokande experiment, it would be very timely to investigate all the possible scenarios on masses and mixings of light neutrinos. Recently suggested mass matrix…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kyungsik Kang , Sin Kyu Kang , C. S. Kim , Sun Myoung Kim

The question "how small is the lepton mixing angle \theta_{13}?" had a convincing answer in a surprisingly short time, \theta_{13} \simeq 9^{\circ}, a large value comparable to the Chooz limit. It defines a new epoch in the program of…

High Energy Physics - Phenomenology · Physics 2015-06-11 Hisakazu Minakata

We show that the commutator of lepton mass matrices is invariant under terrestial matter effects in the four-neutrino mixing scheme. A set of model-independent sum rules for neutrino masses, which may be generalized to hold for an arbitrary…

High Energy Physics - Phenomenology · Physics 2009-11-07 Zhi-zhong Xing

We suggest an approach to explain the observed pattern of the neutrino masses and mixing which employs the weakly broken quark-lepton symmetry and does not require introduction of an ad hoc symmetry of the neutrino sector. The mass matrices…

High Energy Physics - Phenomenology · Physics 2009-11-10 I. Dorsner , A. Yu. Smirnov

Here we study the pattern of neutrino oscillations emerging from a previously proposed warped model construction incorporating $\Delta(27)$ flavor symmetry. In addition to a complete description of fermion masses, the model predicts the…

High Energy Physics - Phenomenology · Physics 2017-06-07 Pedro Pasquini , S. C. Chuliá , J. W. F. Valle

In this paper we study three active neutrino oscillations, favored by recent data from SuperK and SNO, using a new parametrization of the lepton mixing matrix $V$ constructed from a linear combination of the unit matrix $I$, and a hermitian…

High Energy Physics - Phenomenology · Physics 2014-11-17 Virendra Gupta , Xiao-Gang He

We propose a new mixing pattern for neutrinos with a nonzero mixing angle $\theta_{13}$. Under a simple form, it agrees well with current neutrino oscillation data and displays a number of intriguing features including the $\mu$-$\tau$…

High Energy Physics - Phenomenology · Physics 2013-08-27 Huilin Qu , Bo-Qiang Ma

Measuring flux ratios of ultra-high energy neutrinos is an alternative method to determine the neutrino mixing angles and the CP phase delta. We conduct a systematic analysis of the neutrino mixing probabilities and of various flux ratios…

High Energy Physics - Phenomenology · Physics 2014-11-18 Werner Rodejohann

Many experiments are being planned to measure the neutrino mixing parameter $\theta_{13}$ using reactor as well as accelerator neutrino beams. In this note, the theoretical significance of a high precision measurement of this parameter is…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Mohapatra

The model of the neutrino mass matrix which we proposed in 2000 is revisited in the light of the recent T2K experiments. This model has the special property that it predicts the maximal 2-3 mixing and CP violation under the some simple…

High Energy Physics - Phenomenology · Physics 2015-11-18 Eiichi Takasugi

We review some fundamental aspects of the theory of neutrino masses and mixing. The results of neutrino oscillation experiments are interpreted as evidence of three-neutrino mixing. Implications for the mixing parameters and the neutrino…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Giunti

The unitarity of the lepton mixing matrix is a critical assumption underlying the standard neutrino-mixing paradigm. However, many models seeking to explain the as-yet-unknown origin of neutrino masses predict deviations from unitarity in…

High Energy Physics - Phenomenology · Physics 2020-12-16 Sebastian A. R. Ellis , Kevin J. Kelly , Shirley Weishi Li

We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$…

High Energy Physics - Phenomenology · Physics 2009-11-11 Harald Fritzsch , Zhi-zhong Xing