Leptonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>violation induced by approximately<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math>symmetric seesaw mechanism

Neutrino oscillations data indicates that neutrino mixings are consistent with an apparent À exchange symmetry in neutrino mass matrix. We observe that in the minimally extended standard model with the seesaw mechanism, one can impose $ symmetry at the tree level on all Lagrangian terms, but for the mass difference among and leptons. In the absence of any new extra physics, this mass difference becomes the only source for the breaking of such a symmetry, which induces, via quantum corrections, small but predictable values for 13 , and for the deviation of ATM from maximality. In the CP conserving case, the predictions only depend on neutrino mass hierarchy and may provide a unique way to test for new physics with neutrino experiments.

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“…Clearly, this corresponds to the third mass eigenstate in an inverted hierarchy scenario (similar results were recently found in Ref. [8]). …”

Section: The Minimal $ Modelsupporting

confidence: 66%

“…(3) and (4), and comparing them with Eqs. (8). Thus, by committing an small error of order $ðÁIÞ 2 , this approach allows us to express sin 13 and sin in terms of all the tree level quantities obtained from neutrino low energy observables given in Eq.…”

Section: Soft Breaking Of $ Symmetrymentioning

confidence: 99%

Softly brokenμ↔τsymmetry in the minimal seesaw model

Gómez-Izquierdo

Pérez‐Lorenzana

2008

Phys. Rev. D

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“…In a minimal version of that mechanism one may content oneself with two right-handed neutrino gauge singlets, as was done for instance in refs. [13,14]. In this review, however, we shall always use three heavy neutrino singlets, and also assume the existence of only three light neutrinos.…”

Section: Introductionmentioning

confidence: 99%

μ–τ interchange symmetry and lepton mixing

Grimus

Lavoura

2012

Fortschritte der Physik

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We focus on the use of a µ-τ interchange symmetry to explain features of lepton mixing, especially maximal atmospheric neutrino mixing. We review two models which achieve this goal and are based on the seesaw mechanism and on the soft breaking of the family-lepton-number symmetries. We also note that that symmetry may be embedded in a generalized CP symmetry. We show that, in the context of some of our models, arguments of naturalness may be used for explaining the smallness of the mass ratio mµ/mτ .

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“…In this article, within the framework of the minimal seesaw model, we would like to argue how Dirac neutrino masses are constrained so as to induce maximal CP violation and simultaneously to induce maximal atmospheric neutrino mixing as well [17,18]. In Sec.II, we introduce six Dirac neutrino masses associated with two extra heavy right-handed neutrinos.…”

Section: Introductionmentioning

confidence: 99%

Maximal CP Violation in Minimal Seesaw Model

Kitabayashi,

Yasuè

2016

Preprint

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LeptonicCPviolation induced by approximatelyμ-τsymmetric seesaw mechanism

Cited by 18 publications

References 59 publications

Softly brokenμ↔τsymmetry in the minimal seesaw model

Softly brokenμ↔τsymmetry in the minimal seesaw model

μ–τ interchange symmetry and lepton mixing

Maximal CP Violation in Minimal Seesaw Model

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