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Related papers: Neutrino mixing sum rules and the Littlest Seesaw

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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

Correlations between light neutrino observables are arguably the strongest predictions of lepton avour models based on (discrete) symmetries, except for the very few cases which unambiguously predict the full set of leptonic mixing angles.…

High Energy Physics - Phenomenology · Physics 2016-11-22 Julia Gehrlein , Alexander Merle , Martin Spinrath

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

We propose the Littlest Seesaw (LS) model consisting of just two right-handed neutrinos, where one of them, dominantly responsible for the atmospheric neutrino mass, has couplings to $(\nu_e,\nu_{\mu},\nu_{\tau})$ proportional to $(0,1,1)$,…

High Energy Physics - Phenomenology · Physics 2016-03-23 Stephen F. King

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

In this topical review we argue that neutrino mass and mixing data motivates extending the Standard Model to include a non-Abelian discrete flavour symmetry in order to accurately predict the large leptonic mixing angles and CP violation.…

High Energy Physics - Phenomenology · Physics 2015-11-12 Stephen F. King

We consider schemes of neutrino mixing arising within the discrete symmetry approach to the well-known flavour problem. We concentrate on $3\nu$ mixing schemes in which the cosine of the Dirac CP violation phase $\delta_\mathrm{CP}$…

High Energy Physics - Phenomenology · Physics 2018-04-11 Sanjib Kumar Agarwalla , Sabya Sachi Chatterjee , S. T. Petcov , A. V. Titov

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

The simple correlation among three lepton flavor mixing angles $(\theta^{}_{12}, \theta^{}_{13}, \theta^{}_{23})$ and the leptonic Dirac CP-violating phase $\delta$ is conventionally called a sum rule of lepton flavor mixing, which may be…

High Energy Physics - Phenomenology · Physics 2016-08-09 Jue Zhang , Shun Zhou

In light of the recent neutrino experiment results from Daya Bay and RENO Collaborations, we study phenomenology of neutrino mixing angles in the Type III seesaw model with an discrete $A_4 \times Z_2$ symmetry, whose spontaneously breaking…

High Energy Physics - Phenomenology · Physics 2015-05-27 Y. H. Ahn , C. S. Kim , Sechul Oh

This is a review article about neutrino mass and mixing and flavour model building strategies based on discrete family symmetry. After a pedagogical introduction and overview of the whole of neutrino physics, we focus on the PMNS mixing…

High Energy Physics - Phenomenology · Physics 2016-03-01 Stephen F. King , Christoph Luhn

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 study the prospects for testing classes of atmospheric mixing sum rules at precision neutrino facilities. Such sum rules, which correlate the atmospheric mixing angle theta23 with the recently measured reactor angle theta13 and the…

High Energy Physics - Phenomenology · Physics 2014-01-29 Peter Ballett , Stephen F. King , Christoph Luhn , Silvia Pascoli , Michael A. Schmidt

A minimal supersymmetric SO(10) model with one {\bf 10} and one {\bf 126} Higgs superfield has recently been shown to predict all neutrino mixings as well as the solar mass difference squared in agreement with observations. Two assumptions…

High Energy Physics - Phenomenology · Physics 2009-11-10 Bhaskar Dutta , Yukihiro Mimura , R. N. Mohapatra

We study the possibility of connecting leptonic Dirac CP phase $\delta$, lightest neutrino mass and baryon asymmetry of the Universe within the framework of a model where both type I and type II seesaw mechanisms contribute to neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-23 Rupam Kalita , Debasish Borah

We present a review of neutrino phenomenology in the minimal seesaw model (MSM), an economical and intriguing extension of the Standard Model with only two heavy right-handed Majorana neutrinos. Given current neutrino oscillation data, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wan-lei Guo , Zhi-zhong Xing , Shun Zhou

We discuss a minimal predictive see-saw model in which the right-handed neutrino mainly responsible for the atmospheric neutrino mass has couplings to (nu_e, nu_mu, nu_tau) proportional to (0,1,1) and the right-handed neutrino mainly…

High Energy Physics - Phenomenology · Physics 2015-06-16 S. F. King

Motivated by the latest neutrino oscillation data which is consistent with maximal atmospheric mixing and maximal leptonic CP violation, we review various results in $\mu\tau$ symmetry, then include several new observations and…

High Energy Physics - Phenomenology · Physics 2018-09-12 Stephen F. King , Celso C. Nishi

Assuming that the observed pattern of 3-neutrino mixing is related to the existence of a (lepton) flavour symmetry, corresponding to a non-Abelian discrete symmetry group $G_f$, and that $G_f$ is broken to specific residual symmetries $G_e$…

High Energy Physics - Phenomenology · Physics 2015-12-23 I. Girardi , S. T. Petcov , Alexander J. Stuart , A. V. Titov

Recent data from neutrino experiments gives intriguing hints about the mass ordering, the CP violating phase and non-maximal atmospheric mixing. There seems to be a (one sigma) preference for a normal ordered (NO) neutrino mass pattern,…

High Energy Physics - Phenomenology · Physics 2017-04-05 S. F. King
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