Alternative schemes of predicting lepton mixing parameters from discrete flavor and 
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Lu, Jun-Nan; Ding, Gui-Jun

doi:10.1103/physrevd.95.015012

Cited by 35 publications

(55 citation statements)

References 84 publications

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“…Such models have more predictive power and allow, in particular, for prediction of the Majorana phases. The implications of combining the gCP symmetry with a flavour symmetry have been extensively studied for many discrete groups, including A 4 [7,8], T [9], S 4 [6,[10][11][12][13][14][15] and A 5 [16][17][18][19] (see also [20]).…”

Section: Introductionmentioning

confidence: 99%

Generalised CP symmetry in modular-invariant models of flavour

Novichkov

Penedo

Petcov

et al. 2019

J. High Energ. Phys.

165

176

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The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus τ and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular S 4 model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus τ being the only source of CP violation.

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Section: Introductionmentioning

confidence: 99%

Generalised CP symmetry in modular-invariant models of flavour

Novichkov

Penedo

Petcov

et al. 2019

J. High Energ. Phys.

165

176

View full text Add to dashboard Cite

show abstract

“…The resulting PMNS mixing matrix would depend on two rotation angles θ ν and θ l which freely vary between 0 and π. Most importantly, a remarkable advantage of this scheme is that the experimentally measured quark mixing angles and CP violation phase can be reproduced if the flavor group and generalized CP are broken to two distinct Z 2 × CP subgroups as well in the up and down quark sectors [55,57]. The CKM mixing matrix would be predicted in terms of two real parameters θ u and θ d which can be chosen to lie in the interval 0 ≤ θ u,d < π.…”

Section: Introductionmentioning

confidence: 99%

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Lu¹,

Ding²

2018

Phys. Rev. D

Self Cite

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We have studied two approaches to predict quark and lepton mixing patterns from the same flavor symmetry group in combination with CP symmetry. The first approach is based on the residual symmetry Z 2 in the charged lepton sector and Z 2 × CP in the neutrino sector. All lepton mixing angles and CP violation phases depend on three real parameters θ l , δ l and θ ν . This approach is extended to the quark sector, the up and down quark mass matrices are assumed to be invariant under a Z 2 subgroup and Z 2 × CP . The necessary and sufficient conditions for the equivalence of two mixing patterns are derived. The second approach has an abelian subgroup and a single CP transformation as residual symmetries of the charged lepton and neutrino sectors respectively. The lepton mixing would be determined up to a real orthogonal matrix multiplied from the right hand side. Analogously we assume that a single CP transformation is preserved by the down (or up) quark mass matrix, and the residual symmetry of the up (or down) quark sector is be an abelian subgroup. As an example, we analyze the possible mixing patterns which can be obtained from the breaking of ∆(6n 2 ) and CP symmetries. We find ∆(294) combined with CP is the smallest flavor group which can give a good fit to the experimental data of quark and lepton mixing in both approaches. *

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“…If the residual symmetry is (Z 2 × Z 2 , Z 2 × CP) or (Z n , Z 2 × CP) with n ≥ 3, the Dirac CP phase would be trivial or maximal in the case where the residual flavor group is from small groups S 4 , A 5 [30,32,39]. To obtain a more general CP phase, one can choose the residual symmetry (Z 2 × CP, Z 2 × CP) [44,45]. Then the lepton mixing matrix contains two angle parameters to constrain by experiment data.…”

Section: Introductionmentioning

confidence: 99%

New Partial Symmetries from Group Algebras for Lepton Mixing

Rong

2020

Advances in High Energy Physics

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Recent stringent experiment data of neutrino oscillations induces partial symmetries such as Z 2 , Z 2 × CP to derive lepton mixing patterns. New partial symmetries expressed with elements of group algebras are studied. A specific lepton mixing pattern could correspond to a set of equivalent elements of a group algebra.And the transformation which interchanges the elements could express a residual CP symmetry. Lepton mixing matrices from S 3 group algebras are of the trimaximal form with the µ − τ reflection symmetry.Accordingly, elements of S 3 group algebras are equivalent to Z 2 × CP. Comments on S 4 group algebras are given. And the predictions of Z 2 × CP broken from the group S 4 with the generalized CP symmetry are also obtained from elements of S 4 group algebras.

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Alternative schemes of predicting lepton mixing parameters from discrete flavor and CP symmetry

Cited by 35 publications

References 84 publications

Generalised CP symmetry in modular-invariant models of flavour

Generalised CP symmetry in modular-invariant models of flavour

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

New Partial Symmetries from Group Algebras for Lepton Mixing

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