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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 sum rules which the Dirac phase $\delta$…

High Energy Physics - Phenomenology · Physics 2015-04-24 I. Girardi , S. T. Petcov , A. V. Titov

Small discrete family symmetries such as S4, A4 or A5 may lead to simple leading-order predictions for the neutrino mixing matrix such as the bimaximal, tribimaximal or golden ratio mixing patterns, which may be brought into agreement with…

High Energy Physics - Phenomenology · Physics 2015-06-23 Peter Ballett , Stephen F. King , Christoph Luhn , Silvia Pascoli , Michael A. Schmidt

The recent measurement of the third lepton mixing angle, \theta_{13}, has shown that, although small compared to \theta_{12} and \theta_{23}, it is much larger than anticipated in schemes that generate Tri-Bi-Maximal (TBM) or Golden Ratio…

High Energy Physics - Phenomenology · Physics 2015-06-15 L. J. Hall , G. G. Ross

The neutrino mixing sum rule $\theta_{12} - \theta_{13}\cos(\delta) \approx \theta^\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2…

High Energy Physics - Phenomenology · Physics 2010-10-27 S. Antusch , P. Huber , S. F. King , T. Schwetz

We investigate the theoretical stability of the predictions of tri-bimaximal neutrino mixing with respect to third family wave-function corrections. Such third family wave-function corrections can arise from either the canonical…

High Energy Physics - Phenomenology · Physics 2009-01-14 Stefan Antusch , Stephen F. King , Michal Malinsky

The usual Bi-Maximal (BM) neutrino mixing faces an inherent problem in lowering the solar mixing angle below $\tan^{2}\theta_{12}=0.50$ when charged lepton correction is taken. This minimum $\theta_{12}$ is achievable only if CP violation…

High Energy Physics - Phenomenology · Physics 2012-12-03 Subhankar Roy , N. Nimai Singh

We propose a generalized version of the Tri-Bi-Maximal (TBM) ansatz for lepton mixing, leading to non-zero reactor angle $\theta_{13}$ and CP violation. The latter is characterized by two CP phases. The Dirac phase affecting neutrino…

High Energy Physics - Phenomenology · Physics 2018-09-19 Peng Chen , Salvador Centelles Chuliá , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

Neutrino mixing sum rules are common to a large class of models based on the (discrete) symmetry approach to lepton flavour. In this approach the neutrino mixing matrix $U$ is assumed to have an underlying approximate symmetry form…

High Energy Physics - Phenomenology · Physics 2016-11-28 J. Gehrlein , S. T. Petcov , M. Spinrath , A. V. Titov

The recent measurements of the solar neutrino mixing angle theta_{sol} and the Cabibbo mixing angle theta_C reveal a surprising relation, theta_{sol}+theta_C ~ pi/4. Interpreting this empirical relation as a support of the quark-lepton…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kingman Cheung , Sin Kyu Kang , C. S. Kim , Jake Lee

We propose a seesaw scenario that possible corrections to the tribimaximal pattern of lepton mixing are due to the small phase splitting of the right-handed neutrino mass matrix. we show that the small deviations can be expressed…

High Energy Physics - Phenomenology · Physics 2010-05-07 Y. F. Li , Q. Y. Liu

We explore the implications of recent results relating the Dirac CP-violating phase to predicted and measured leptonic mixing angles within a standard set of theoretical scenarios in which charged lepton corrections are responsible for…

High Energy Physics - Phenomenology · Physics 2018-05-29 Luis A. Delgadillo , Lisa L. Everett , Raymundo Ramos , Alexander J. Stuart

In light of the latest neutrino oscillation data, we examine whether the leptonic flavor mixing matrix can take on an exact form of tri-bimaximal (TBM), golden-ratio (GR) or bimaximal (BM) mixing pattern at a superhigh-energy scale, where…

High Energy Physics - Phenomenology · Physics 2016-09-30 Jue Zhang , Shun Zhou

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

In this work, we study the neutrino mixing sum rules arising from discrete symmetries, and the class of Littlest Seesaw (LS) neutrino models. These symmetry based approaches all offer predictions for the cosine of the leptonic CP phase…

High Energy Physics - Phenomenology · Physics 2024-04-16 Francesco Costa , Stephen F. King

We phenomenologically build a neutrino mass matrix obeying $\mu-\tau$ symmetry with only two parameters, Cabibbo angle $(\lambda)$ and a flavour twister parameter $(\eta)$. For vanishing $\eta$, the model assumes TBM mixing. When…

High Energy Physics - Phenomenology · Physics 2013-04-09 Subhankar Roy , N. Nimai Singh

Sum rules in the lepton sector provide an extremely valuable tool to classify flavour models in terms of relations between neutrino masses and mixing parameters testable in a plethora of experiments. In this manuscript we identify new…

High Energy Physics - Phenomenology · Physics 2021-03-22 Julia Gehrlein , Martin Spinrath

We re-analyze charged lepton corrections to neutrino mixing angles and CP phases, carefully including CP phases from the charged lepton sector. We present simple analytical formulae for including the charged lepton corrections and derive…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefan Antusch , Steve F. King

We note that a simple two parameter description of lepton mixing is possible which reproduces the features that apparently emerge from global fits at the 1\sigma level: if U_{e3} is non-zero it implies that the solar neutrino mixing…

High Energy Physics - Phenomenology · Physics 2015-06-05 Werner Rodejohann , He Zhang

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

We present a model for leptonic mixing and the lepton masses based on flavor symmetries and higher-dimensional mass operators. The model predicts bilarge leptonic mixing (i.e., the mixing angles theta_{12} and theta_{23} are large and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tommy Ohlsson , Gerhart Seidl
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