Cabibbo haze in lepton mixing

Datta, AseshKrishna; Everett, Lisa L.; Ramond, Pierre

doi:10.1016/j.physletb.2005.05.075

Cited by 99 publications

(80 citation statements)

References 36 publications

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“…From eq. (19), the parameterization of the CKM mixing matrix in eq. (5) and the definition of the phase matrix Ω in eq.…”

Section: Prediction For θ P Mns 13mentioning

confidence: 99%

“…Possible consequences of QLC have been investigated in the literature [10] and in particular a simple correspondence between the U P M N S and U CKM matrices has been proposed [9,11,12,13] and analyzed in terms of a correlation matrix [14,15,16,17,18,19,20]. The correlation matrix V M is simply defined as the product of the CKM and PMNS matrices, V M = U CKM · U P M N S , and efforts have been done to obtain the most favorite pattern for the matrix V M [20,21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quark–lepton complementarity with lepton and quark mixing data predict θ13 PMNS=(9+1 -2)°

Chauhan¹,

Picariello

Pulido³

et al. 2007

Eur. Phys. J. C

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The complementarity between the quark and lepton mixing matrices is shown to provide a robust prediction for the neutrino mixing angle θ P M N S 13. We obtain this prediction by first showing that the matrix V M , product of the CKM and PMNS mixing matrices, may have a zero (1,3) entry which is favored by experimental data. Hence models with bimaximal or tribimaximal forms of the correlation matrix V M are quite possible. Any theoretical model with a vanishing (1,3) entry of V M that is in agreement with quark data, solar, and atmospheric mixing angle leads to θ P M N S 13 = (9 +1−2 ) • . This value is consistent with the present 90% CL experimental upper limit.

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“…From eq. (19), the parameterization of the CKM mixing matrix in eq. (5) and the definition of the phase matrix Ω in eq.…”

Section: Prediction For θ P Mns 13mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quark–lepton complementarity with lepton and quark mixing data predict θ13 PMNS=(9+1 -2)°

Chauhan¹,

Picariello

Pulido³

et al. 2007

Eur. Phys. J. C

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show abstract

“…In GUT theories, where Yukawa Dirac matrices of quarks and charged leptons are related, we expect the CKM parameters to appear in neutrino mixings as well, forming a "Cabibbo Haze" [16][17][18] between the data and the Majorana matrix.…”

Section: Majorana Physicsmentioning

confidence: 99%

Majorana physics through the Cabibbo Haze

Kile

Pérez

Ramond

et al. 2014

J. High Energ. Phys.

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We present a model in which the Supersymmetric Standard Model is augmented by the family symmetry Z 7 ⋊ Z 3 . Motivated by SO(10), where the charge twothirds and neutral Dirac Yukawa matrices are related, we propose, using family symmetry, a special form for the seesaw Majorana matrix; it contains a squared correlated hierarchy, allowing it to mitigate the severe hierarchy of the quark sector. It is reproduced naturally by the invariant operators of Z 7 ⋊ Z 3 , with the hierarchy carried by familon fields. In addition to relating the hierarchy of the ∆I w = 1/2 to the ∆I w = 0 sector, it contains a Gatto-Sartori-Tonin like relation, predicts a normal hierarchy for Tri-bimaximal and Golden Ratio mixings, and gives specific values for the light neutrino masses.

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“…Other parameterizations of the neutrino mixing matrix exist (see, for example, [20][21][22][23][24][25][26][27]), of which the exactly unitary tri-bimaximal parameterization (TBM) (see, for example, [20]) of U PMNS was for long rather consistent with the experimental data. Completed parameterization, based on the TBM pattern, was described in [20,27,28]).…”

Section: Introductionmentioning

confidence: 73%

Exponential parameterization of the neutrino mixing matrix: comparative analysis with different data sets and CP violation

Zhukovsky

Borisov

2016

Eur. Phys. J. C

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The exponential parameterization of the Pontecorvo-Maki-Nakagawa-Sakata mixing matrix for neutrino is used for a comparative analysis of different neutrino mixing data. The U PMNS matrix is considered as the element of the SU(3) group and the second-order matrix polynomial is constructed for it. The inverse problem of constructing the logarithm of the mixing matrix is addressed. In this way the standard parameterization is exactly related to the exponential parameterization. The exponential form allows easy factorization and separate analysis of the rotation and the CP violation. With the most recent experimental data on neutrino mixing (May 2016), we calculate the values of the exponential parameterization matrix for neutrinos with account for the CP violation. The complementarity hypothesis for quarks and neutrinos is demonstrated to hold, despite a significant change in the neutrino mixing data. The values of the entries of the exponential mixing matrix are evaluated with account for the actual degree of the CP violation in neutrino mixing and without it. Various factorizations of the CP-violating term are investigated in the framework of the exponential parameterization.

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Cabibbo haze in lepton mixing

Abstract: Physics Letters B 620 (2005) 42-51. doi:10.1016/j.physletb.2005.05.075Received by publisher: 2005-03-23Harvest Date: 2016-01-04 12:22:20DOI: 10.1016/j.physletb.2005.05.075Page Range: 42-5

Cited by 99 publications

References 36 publications

Quark–lepton complementarity with lepton and quark mixing data predict θ13 PMNS=(9+1 -2)°

Quark–lepton complementarity with lepton and quark mixing data predict θ13 PMNS=(9+1 -2)°

Majorana physics through the Cabibbo Haze

Exponential parameterization of the neutrino mixing matrix: comparative analysis with different data sets and CP violation

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