Softly broken<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi><mml:mo>↔</mml:mo><mml:mi>τ</mml:mi></mml:math>symmetry in the minimal seesaw model

Gómez-Izquierdo, Juan Carlos; Pérez‐Lorenzana, Abdel

doi:10.1103/physrevd.77.113015

Cited by 22 publications

(19 citation statements)

References 42 publications

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“…This symmetry has been extensively studied [40][41][42][43][44][45][46][47][48][49][50][51][52]. After the measurements of θ 13 , dedicated investigations of the μ-τ exchange symmetry can be found in ref.…”

Section: μ-τ Exchange Symmetrymentioning

confidence: 99%

The Majorana neutrino mass matrix indicated by the current data

Zhang

2015

Sci. China Phys. Mech. Astron.

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The Majorana neutrino mass matrix combines information from the neutrino masses and the leptonic mixing in the flavor basis. Its invariance under some transformation matrices indicates the existence of certain residual symmetry. We offer an intuitive display of the structure of the Majorana neutrino mass matrix, using the whole set of the oscillation data. The structure is revealed depending on the lightest neutrino mass. We find that there are three regions with distinct characteristics of structure. A group effect and the $\mu$-$\tau$ exchange symmetry are observed. Six types of texture non-zeros are shown. Implications for flavor models are discussed.Comment: 18 Latex pages, 8 figure

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Section: μ-τ Exchange Symmetrymentioning

confidence: 99%

The Majorana neutrino mass matrix indicated by the current data

Zhang

2015

Sci. China Phys. Mech. Astron.

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“…Nevertheless, having two of the predicted mixing angles so close to the observed values could be a good indication that µ ↔ τ symmetry does have something to do with fixing the observed lepton mixings at some level. As it was shown in a recent analysis [8], the effect of the breaking produced by the sole charged lepton sector on neutrino mixings is rather negligible. This is because in a SM with three right-handed neutrinos, dressed with an effective µ ↔ τ symmetry in all neutrino couplings, the µ and τ mass difference enters into the mixings only through one-loop quantum corrections mediated by the W boson, and thus, it comes out very suppressed.…”

Section: +0016mentioning

confidence: 64%

“…Of course, when CP phases are canceled (taking all masses to be real), the above expressions reduce to the previous results as given in Eqs. (8)(9). Interesting enough, Eq.…”

Section: Cp Phase Contributionmentioning

confidence: 99%

Left-right symmetric model withμ↔τsymmetry

Gómez-Izquierdo

Pérez‐Lorenzana

2010

Phys. Rev. D

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We analyze the leptonic sector in the left-right symmetric model dressed with a (Z2) 3 discrete symmetry which realizes, after weak spontaneous breaking, a small broken µ ↔ τ symmetry that is suggested to explain observable neutrino oscillation data. µ ↔ τ symmetry is broken at tree level in the effective neutrino mass matrix due to the mass difference mτ = mµ in the diagonal Dirac mass terms, whereas all lepton mixings arise from a Majorana mass matrix. In the limit of a small breaking we determined θ13, and the deviation from the maximal value of θ23, in terms of the light neutrino hierarchy scale, m3, and a single free parameter hs of the model.

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“…3 Some recent studies on the minimal seesaw model can be found in Refs. [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

$$ \mu -\tau $$ μ - τ reflection symmetry embedded in minimal seesaw

Nath¹,

Zhang²,

Zhang³

2018

Eur. Phys. J. C

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We embed μ − τ reflection symmetry into the minimal seesaw formalism, where two right-handed neutrinos are added to the Standard Model of particle physics. Assuming that both the left-and right-handed neutrino fields transform under μ − τ reflection symmetry, we obtain the required forms of the neutrino Dirac mass matrix and the Majorana mass matrix for the right-handed neutrinos. To investigate the neutrino phenomenology at low energies, we first consider the breaking of μ − τ reflection symmetry due to the renormalization group running, and then systematically study various breaking schemes by introducing explicit breaking terms at high energies.

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Softly brokenμ↔τsymmetry in the minimal seesaw model

Cited by 22 publications

References 42 publications

The Majorana neutrino mass matrix indicated by the current data

The Majorana neutrino mass matrix indicated by the current data

Left-right symmetric model withμ↔τsymmetry

$$ \mu -\tau $$ μ - τ reflection symmetry embedded in minimal seesaw

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