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Related papers: U_{PMNS} = U_ell^dagger U_nu

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After the successful determination of the reactor neutrino mixing angle \theta_13 ~ 0.16 \neq 0, a new feature suggested by the current neutrino oscillation data is a sizeable deviation of the atmospheric neutrino mixing angle \theta_23…

High Energy Physics - Phenomenology · Physics 2014-01-30 David Marzocca , Serguey T. Petcov , Andrea Romanino , Maria C. Sevilla

The neutrino mixing matrix U is in general of the form U=U_e^+ U_nu, where U_e arises from the diagonalization of charged leptons and U_nu is from the neutrino sector. We discuss the possibility that U_nu is nearly diagonal (in the…

High Energy Physics - Phenomenology · Physics 2010-04-05 Guido Altarelli , Ferruccio Feruglio , Isabella Masina

We investigate in a model-independent way to what extent one can perturb tri-bimaximal mixing in order to generate a sizable value of |U_{e3}|, while at the same time keeping solar neutrino mixing near its measured value, which is close to…

High Energy Physics - Phenomenology · Physics 2009-09-30 Srubabati Goswami , Serguey Petcov , Shamayita Ray , Werner Rodejohann

The PMNS neutrino mixing matrix U_{PMNS} is in general a product of two unitary matrices U_{lep} and U_{\nu} arising from the diagonalization of the charged lepton and neutrino mass matrices, U_{PMNS} = U^{\dagger}_{lep} U_{\nu}. Assuming…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. H. Frampton , S. T. Petcov , W. Rodejohann

The mass matrices of the charged leptons and neutrinos, that had been derived in the framework of a Minimal S_3-invariant Extension of the Standard Model, are here reparametrized in terms of their eigenvalues. The neutrino mixing matrix,…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. Felix , A. Mondragon , M. Mondragon , E. Peinado

We propose two schemes for the lepton mixing matrix $U = U_l^\dagger U_\nu$, where $U = U_l$ refers to the charged sector, and $U_\nu$ denotes the neutrino diagonalization matrix. We assume $U_\nu$ to be CP conserving and its three angles…

High Energy Physics - Phenomenology · Physics 2019-04-18 Peng Chen , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

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

We diagonalize Majorana neutrino mass matrix with the help of PMNS matrix and obtain analytical relations between the mass matrix elements and mixing parameters, viz., three mixing angles- $\theta_{12}, \theta_{23}, \theta_{13}$ and Dirac…

High Energy Physics - Phenomenology · Physics 2019-05-21 Chandan Duarah

As neutrino experiments are starting to probe the detailed structure of the neutrino mass matrix, we present sumrules relating its matrix elements for a class of models with approximate $L_e-L_{\mu}-L_{\tau}$ symmetry and the observables in…

High Energy Physics - Phenomenology · Physics 2015-06-25 H. S. Goh , R. N. Mohapatra , S. -P. Ng

All existing solar and atmospheric neutrino oscillation data are described by the standard two-neutrino formulas with neutrino mass squared differences that satisfy the hierarchy relation $\Delta m^{2}_{sol} \ll \Delta m^{2}_{atm}$. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky

Until recently, measurements of theta_13, which describes the nu_e component in the nu_3 mass eigenstate, gave only upper limits, leaving open the possibility that it is zero and eliminating a source of CP violation in the neutrino sector.…

High Energy Physics - Experiment · Physics 2011-11-11 D. Karlen

We propose a scheme of lepton mixing in which the unitary matrix that diagonalizes the neutrino mass matrix is bimaximal and the deviation from bimaximal of the lepton mixing matrix is due to the unitary matrix that diagonalizes the…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Giunti , M. Tanimoto

The overall characteristics of the solar and atmospheric neutrino oscillations are approximately consistent with a tribimaximal form of the mixing matrix $U$ of the lepton sector. Exact tribimaximal mixing leads to $\theta_{13}=0$. However,…

High Energy Physics - Phenomenology · Physics 2022-10-18 N. Razzaghi , S. M. M. Rasouli , P. Parada , P. V. Moniz

We derive predictions for the Dirac phase $\delta$ present in the $3\times 3$ unitary neutrino mixing matrix $U = U_e^{\dagger} \, U_{\nu}$, where $U_e$ and $U_{\nu}$ are $3\times 3$ unitary matrices which arise from the diagonalisation,…

High Energy Physics - Phenomenology · Physics 2015-11-10 I. Girardi , S. T. Petcov , A. V. Titov

The PMNS neutrino mixing matrix is given, in general, by the product of two unitary matrices associated with the diagonalization of the charged lepton and neutrino mass matrices, respectively. Assuming that the active flavor neutrinos…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. T. Petcov , W. Rodejohann

In a recent paper [1] we showed that, assuming no fine tuning between certain elements of the neutrino mass matrix, one can link the element U_{e3} of the lepton mixing matrix to solar and atmospheric neutrino oscillation parameters. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Kh. Akhmedov , G. C. Branco , M. N. Rebelo

CP violation in neutrino interactions is described by three phases contained in Pontecorvo-Maki-Nakagawa-Sakata mixing matrix ($U_{PMNS}$). We argue that the phenomenologocally consistent result of the Dirac CP violation can be obtained if…

High Energy Physics - Phenomenology · Physics 2015-01-30 Jun Iizuka , Teruyuki Kitabayashi , Yuki Minagawa , Masaki Yasue

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 consider a number of forms of $U_{\nu}$ associated…

High Energy Physics - Phenomenology · Physics 2015-02-03 S. T. Petcov

The overall characteristics of the solar and atmospheric neutrino oscillation are approximately consistent with a tribimaximal form of the mixing matrix $U$ of the lepton sector. Exact tribimaximal mixing leads to $\theta_{13}=0$. However,…

High Energy Physics - Phenomenology · Physics 2016-05-03 N. Razzaghi , S. S. Gousheh

We propose a simple mechanism which enforces |U_{mu j}| = | U_{tau j}| forall j = 1,2,3 in the lepton mixing matrix U. This implies maximal atmospheric neutrino mixing and a maximal CP-violating phase but does not constrain the reactor…

High Energy Physics - Phenomenology · Physics 2015-06-05 P. M. Ferreira , W. Grimus , L. Lavoura , P. O. Ludl
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