Towards minimal S 4 lepton flavor model

Ishimori, Hajime; Kobayashi, Tatsuo

doi:10.1007/jhep10(2011)082

Cited by 10 publications

(1 citation statement)

References 107 publications

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“…and the 1 1 , 1 2 representations have S = T = 1 and U = ±1 respectively. The S 4 option for TB mixing is motivated and has been widely studied (Bazzocchi et al, 2009a,b;Bazzocchi and Morisi, 2009;Cai and Yu, 2006;Ding, 2010;Dutta et al, 2009Dutta et al, , 2010Hagedorn et al, 2010Hagedorn et al, , 2006Ishimori and Kobayashi, 2011;Ishimori et al, 2009;Ma, 2006;Meloni, 2010;Mohapatra et al, 2004;Morisi et al, 2011a;Smirnov and Xu, 2018;Zhang, 2007) however its simplest implementation requires a non-trivial fine-tuning to reproduce hierarchical charged leptons, as we now show. 17 In order to implement the S 4 symmetry, we first need to assign the lepton fields l i and e c i to S 4 representations.…”

Section: Approximate Sequestering Rigid Pmnsmentioning

confidence: 75%

Lepton Flavour Symmetries

Feruglio,

Romanino

2019

Preprint

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We provide a general classification of flavour symmetries according to their interplay with the proper Poincaré and gauge groups and to their linear or nonlinear action in field space. We focus on the lepton sector and we review the different types of symmetries describing neutrino masses and the lepton mixing matrix. For each type of symmetry we present several illustrative examples and we discuss specific strengths and limitations.

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Section: Approximate Sequestering Rigid Pmnsmentioning

confidence: 75%

Lepton Flavour Symmetries

Feruglio,

Romanino

2019

Preprint

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Testing the minimal S 4 model of neutrinos with the Dirac and Majorana phases

Shimizu

Tanimoto

2015

J. High Energ. Phys.

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We propose two new simple lepton flavor models in the framework of the S 4 flavor symmetry. The neutrino mass matrices, which are given by two complex parameters, lead to the inverted mass hierarchy. The charged lepton mass matrix has the 1-2 lepton flavor mixing, which gives the non-vanishing reactor angle θ 13 . These models predict the Dirac phase and the Majorana phases, which are testable in the future experiments. The predicted magnitudes of the effective neutrino mass for the neutrino-less double beta decay are in the regions as 32 meV |m ee | 49 meV and 34 meV |m ee | 59 meV, respectively. These values are close to the expected reaches of the coming experiments. The total sum of the neutrino masses are predicted in both models as 0.0952 eV m i 0.101 eV and 0.150 eV m i 0.160 eV, respectively.

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Unified models of neutrinos, flavour andCPViolation

King

2017

Progress in Particle and Nuclear Physics

232

164

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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, with a CP phase δ = −100 • ± 50 • , and (more significantly) non-maximal atmospheric mixing. Global fits for the NO case yield lepton mixing angle one sigma ranges:Cosmology gives a limit on the total of the three masses to be below about 0.23 eV, favouring hierarchical neutrino masses over quasi-degenerate masses. Given such experimental advances, it seems an opportune moment to review the theoretical status of attempts to explain such a pattern of neutrino masses and lepton mixing, focussing on approaches based on the four pillars of: predictivity, minimality, robustness and unification. Predictivity can result from various mixing sum rules whose status is reviewed. Minimality can follow from the type I seesaw mechanism, including constrained sequential dominance of right-handed (RH) neutrinos, and the littlest seesaw model. Robustness requires enforcing a discrete CP and non-Abelian family symmetry, spontaneously broken by flavons with the symmetry preserved in a semi-direct way. Unification can account for all lepton and quark masses, mixing angles and CP phases, as in Supersymmetric Grand Unified Theories of Flavour, with possible string theory origin.

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Towards minimal S 4 lepton flavor model

Cited by 10 publications

References 107 publications

Lepton Flavour Symmetries

Lepton Flavour Symmetries

Testing the minimal S 4 model of neutrinos with the Dirac and Majorana phases

Unified models of neutrinos, flavour andCPViolation

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