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This is a review article about neutrino mass and mixing and flavour model building strategies based on modular symmetry. After an introduction to neutrino mass and lepton mixing, we then turn to the main subject of this review, namely a…

High Energy Physics - Phenomenology · Physics 2023-11-17 Gui-Jun Ding , Stephen F. King

Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Lam

We discuss the possibility of enforcing a massless Majorana neutrino in the direct and semi-direct approaches to lepton mixing, in which the PMNS matrix is partly predicted by subgroups of a discrete family symmetry, extending previous…

High Energy Physics - Phenomenology · Physics 2016-07-06 Stephen F. King , Patrick Otto Ludl

Assuming the Majorana nature of massive neutrinos, we generalize the Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass matrix $M^{}_\nu$. We show that a favorable neutrino mixing pattern (with $\theta^{}_{12}…

High Energy Physics - Phenomenology · Physics 2014-11-18 Zhi-zhong Xing , He Zhang , Shun Zhou

We point out that the observed neutrino mixing pattern at low energies is very likely to originate from the 3 times 3 lepton flavor mixing matrix U which possesses the exact mu-tau permutation symmetry |U_{mu i}| = |U_{tau i}| (for i=1,2,3)…

High Energy Physics - Phenomenology · Physics 2015-06-22 Shu Luo , Zhi-zhong Xing

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

We discuss aspects of neutrino masses and lepton-number violation, in the light of the observations of Super-Kamiokande. As a first step, we use the data from various experiments, in order to obtain a phenomenological understanding of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Smaragda Lola

Relying upon the usefulness of the \mu-\tau symmetry, we find a new type of neutrino mass texture with a single phase parameter \delta that describes maximal atmospheric neutrino mixing and Dirac CP violation due to the presence of \delta.…

High Energy Physics - Phenomenology · Physics 2014-11-18 Ichiro Aizawa , Masaki Yasue

In this paper we study an SU(5) x A5 flavour model which exhibits a neutrino mass sum rule and golden ratio mixing in the neutrino sector which is corrected from the charged lepton Yukawa couplings. We give the full renormalizable…

High Energy Physics - Phenomenology · Physics 2014-12-15 Julia Gehrlein , Jens P. Oppermann , Daniela Schäfer , Martin Spinrath

Renormalization group (RG) evolution of the neutrino mass matrix may take the value of the mixing angle $\theta_{13}$ very close to zero, or make it vanish. On the other hand, starting from $\theta_{13}=0$ at the high scale it may be…

High Energy Physics - Phenomenology · Physics 2010-04-28 Amol Dighe , Srubabati Goswami , Shamayita Ray

A model of a neutrino mixing with an $A_4\times Z_3\times Z_4$ flavour symmetry is suggested. In addition to the standard model fields, the present model contains six new fields which transform under different representations of $A_4\times…

High Energy Physics - Phenomenology · Physics 2016-11-23 Nguyen Anh Ky , Phi Quang Van , Nguyen Thi Hong Van

We examine the renormalization group evolution (RGE) for different mixing scenarios in the presence of seesaw threshold effects from high energy scale (GUT) to the low electroweak (EW) scale in the Standard Model (SM) and Minimal…

High Energy Physics - Phenomenology · Physics 2015-05-20 Shivani Gupta , Sin Kyu Kang , C. S. Kim

Experimental data have provided stringent constraints on neutrino mixing parameters. In the standard parameterization the mixing angle $\theta_{23}$ is close to $\pi/4$. There are also evidences show that the CP violating phase is close to…

High Energy Physics - Phenomenology · Physics 2015-11-24 Xiao-Gang He

The specific violated mirror symmetry model is capable of generating the observed lepton weak mixing matrix with a structure similar to the observed one that almost lacks any visible regularities (the "flavor riddle"). The peculiarities of…

High Energy Physics - Phenomenology · Physics 2017-09-13 Igor T. Dyatlov

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 analyze all possible extensions of the recently proposed minimal renormalizable SUSY SU(5) grand unified model with the inclusion of an additional A4 flavor symmetry. We find that there are five possible cases but only one of them is…

High Energy Physics - Phenomenology · Physics 2009-07-09 Paolo Ciafaloni , Marco Picariello , Emilio Torrente-Lujan , Alfredo Urbano

Minimal SO(10) grand unified models provide phenomenological predictions for neutrino mass patterns and mixing. These are the outcome of the interplay of several features, namely: i) the seesaw mechanism; ii) the presence of an intermediate…

High Energy Physics - Phenomenology · Physics 2017-04-10 F. Buccella , M. Chianese , G. Mangano , G. Miele , S. Morisi , P. Santorelli

We consider the $A_4$, $S_4$ and $A_5$ discrete lepton flavour symmetries in the case of 3-neutrino mixing, broken down to non-trivial residual symmetries in the charged lepton and neutrino sectors in such a way that at least one of them is…

High Energy Physics - Phenomenology · Physics 2018-07-04 S. T. Petcov , A. V. Titov

The neutrino mixing parameters are thoroughly studied using renormalization-group evolution of Dirac neutrinos with recently proposed parametrization of the neutrino mixing angles referred as `high-scale mixing relations'. The correlations…

High Energy Physics - Phenomenology · Physics 2017-04-07 Gauhar Abbas , Mehran Zahiri Abyaneh , Rahul Srivastava

In view of the fact that the data on neutrino mixing are still compatible with a situation where Bimaximal mixing is valid in first approximation and it is then corrected by terms of order of the Cabibbo angle, arising from the…

High Energy Physics - Phenomenology · Physics 2014-11-18 G. Altarelli , F. Feruglio , L. Merlo
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