Reactor mixing angle from hybrid neutrino masses

Sierra, D. Aristizábal; Varzielas, Ivo de Medeiros

doi:10.1007/jhep07(2014)042

Cited by 19 publications

(9 citation statements)

References 55 publications

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“…However, as a pedagogical preparation for later Sections, and because the limit U 13 = 0 is still a reasonable approximation to data (and can be the starting point for flavour models [82]), we continue with our analysis. Allowing U 13 = 0 (but no other null matrix elements), we then find that λ dl = λ…”

Section: Su (2) Analysis For the Scalar ∆3mentioning

confidence: 99%

Simplified models of flavourful leptoquarks

Varzielas

Talbert

2019

Eur. Phys. J. C

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We study the implications of single leptoquark extensions of the Standard Model (SM) under the assumption that their enhanced Yukawa sectors are invariant under global Abelian flavour symmetries already present in SM mass terms. Such symmetries, assumed to be the 'residual' subgroups of an ultra-violet flavour theory, have previously been considered in order to predict fermionic mixing angles. Here we focus instead on their effect on the novel flavour structures sourced by the leptoquark representations that address the present R K ( ) anomalies in semileptonic rare B-decays. Combined with existing flavour data, the residual symmetries prove to be extremely constraining; we find that the (quark-lepton) leptoquark Yukawa couplings fall within O(10) highly predictive patterns, each with only a single free parameter, when 'normal' (SM-like) hierarchies are assumed. In addition, proton decay for the scalar SU(2) triplet representation is naturally avoided in the residual symmetry approach without relying on further model building. Our results indicate that a simultaneous explanation for the R K ( ) anomalies and the flavour puzzle may be achieved in a simplified, model-independent formalism.

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Section: Su (2) Analysis For the Scalar ∆3mentioning

confidence: 99%

Simplified models of flavourful leptoquarks

Varzielas

Talbert

2019

Eur. Phys. J. C

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“…In such a case one can include Dirac terms featuring explicit geometrical CP violation [32][33][34]: It could also be that there is more than one type of seesaw involved and related with the deviations from TBM [64]. Here the analysis is performed at the level of the effective neutrino terms…”

Section: Jhep08(2015)157mentioning

confidence: 99%

Δ(27) family symmetry and neutrino mixing

Varzielas

2015

J. High Energ. Phys.

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The observed neutrino mixing, having a near maximal atmospheric neutrino mixing angle and a large solar mixing angle, is close to tri-bi-maximal. This structure may be related to the existence of a discrete non-Abelian family symmetry.In this paper the family symmetry is the non-Abelian discrete group ∆(27), a subgroup of SU(3) with triplet and anti-triplet representations. Different frameworks are constructed in which the mixing follows from combining fermion mass terms with the vacuum structure enforced by the discrete symmetry. Mass terms for the fermions originate from familon triplets, anti-triplets or both. Vacuum alignment for the family symmetry breaking familons follows from simple invariants.

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“…To be consistent with current data, small corrections, δV 2 or δV 3 would need to be included (see e.g. [44,45]).…”

Section: Lepton Mixing In the Csd Frameworkmentioning

confidence: 99%

Effective alignments as building blocks of flavor models

2018

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Flavour models typically rely on flavons -scalars that break the family symmetry by acquiring vacuum expectation values in specific directions. We develop the idea of effective alignments, i.e. cases where the contractions of multiple flavons give rise to directions that are hard or impossible to obtain directly by breaking the family symmetry. Focusing on the example where the symmetry is S 4 , we list the effective alignments that can be obtained from flavons vacuum expectation values that arise naturally from S 4 . Using those effective alignments as building blocks, it is possible to construct flavour models, for example by using the effective alignments in constrained sequential dominance models. We illustrate how to obtain several of the mixing schemes in the literature, and explicitly construct renormalizable models for three viable cases, two of which lead to trimaximal mixing scenarios.

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Reactor mixing angle from hybrid neutrino masses

Cited by 19 publications

References 55 publications

Simplified models of flavourful leptoquarks

Simplified models of flavourful leptoquarks

Δ(27) family symmetry and neutrino mixing

Effective alignments as building blocks of flavor models

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