Fixed points in the evolution of neutrino mixings

Chankowski, Piotr H.; Krolikowski, W.; Pokorski, S.

doi:10.1016/s0370-2693(99)01465-3

Cited by 123 publications

(136 citation statements)

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“…It is known that RGEs of neutrino mixing angles exhibit quasi-fixed points at low energies and these predicted quasi-fixed points are not in agreement with the observed experimental data [23]. Exploiting the HUM hypothesis we have shown [7,9,28] that these quasi-fixed ponts can be avoided in supersymmetry throgh radiative magnification which is achieved by appropiate fine-tuning of quasi-degenerate neutrino mass eigen values and for larger values of tan β.…”

Section: Magnification Damping By Majorana Phases and Input Parammentioning

confidence: 65%

“…We again emphasize the point noted in [7] that successful radiative magnification requires that m 0 ≥ 0.1 eV. Our idea can therefore be ruled out if there is no evidence for Majorana neutrino mass in the next round of neutrino double beta decay searches [12] as well as, of course, by the measurement of θ 13 .It is known that RGEs of neutrino mixing angles exhibit quasi-fixed points at low energies and these predicted quasi-fixed points are not in agreement with the observed experimental data [23]. Exploiting the HUM hypothesis we have shown [7,9,28] that these quasi-fixed ponts can be avoided in supersymmetry throgh radiative magnification which is achieved by appropiate fine-tuning of quasi-degenerate neutrino mass eigen values and for larger values of tan β.…”

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confidence: 99%

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Neutrino mixings and leptonicCPviolation from CKM matrix and Majorana phases

et al. 2007

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The high scale mixing unification hypothesis recently proposed by three of us (R. N. M., M. K. P. and G. R.) states that if at the seesaw scale, the quark and lepton mixing matrices are equal then for quasi-degenerate neutrinos, radiative corrections can lead to large solar and atmospheric mixings and small reactor angle at the weak scale in agreement with data. Evidence for quasidegenerate neutrinos could, within this framework, be interpreted as being consistent with quarklepton unification at high scale. In the current work, we extend this model to show that the hypothesis works quite successfully in the presence of CP violating phases (which were set to zero in the first paper). In the case where the PMNS matrix is identical to the CKM matrix at the seesaw scale, with a Dirac phase but no Majorana phase, the low energy Dirac phase is predicted to be (≃ 0.3 • ) and leptonic CP-violation parameter JCP ≃ (4 − 8) × 10 −5 and θ13 = 3.5 • . If on the other hand, the PMNS matrix is assumed to also have non-negligible Majorana phase(s) initially, the resulting theory damps radiative magnification phenomenon for a large range of parameters but nevertheless has enough parameter space to give the two necessary large neutrino mixing angles. In this case, one has θ13 = 3.5 • − 10 • and |JCP | as large as 0.02 − 0.04 which are accessible to long baseline neutrino oscillation experiments.PACS numbers: 14.60. Pq, 11.30.Hv, 12.15.Lk I INTRODUCTIONGrand unified theories [1][2][3][4] with quark-lepton unification have often been used as key ingredients in attempts to understand the widely differing values of physical parameters describing particle interactions at low energies. In the context of SUSY GUTs, this approach can explain the experimentally measured values of the electro-weak mixing angle. The same models also lead to b − τ Yukawa unification [5] which seems to be in rough agreement with observation or even t − b − τ Yukawa unification [6] which agree with observation for large values of tan β(= v u /v d ). It is then natural to explore whether there are other manifestations of quark lepton unification at low energies.In a recent paper, three of us [7] discussed the possibility that weak interaction properties of quarks and leptons parameterized by very different flavor mixing matrices at low energies may become identical at high scales and provide another signature of quark-lepton unification. We found that if neutrinos are Majorana fermions with quasidegenerate masses and with same CP, it could indeed happen i.e. starting with the CKM mixing matrix for neutrinos at the GUT-seesaw scale [8], as would be expected on the basis of quark-lepton unification [1], renormalization group evolution (RGE) to the weak scale leads to predictions for neutrino mixings in agreement with observations [10]. Since small angles become larger, we have called this phenomenon radiative magnification and the interesting result is that the RGEs give two large mixings in the solar and atmospheric neutrino sectors while ultra smallness of V ub...

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Section: Magnification Damping By Majorana Phases and Input Parammentioning

confidence: 65%

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confidence: 99%

Neutrino mixings and leptonicCPviolation from CKM matrix and Majorana phases

et al. 2007

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“…Interestingly, in the inverted hierarchy case the RGE evolution of the solar mixing depends crucially on the neutrino CP-parities [25,27]. The RGE equation for the solar mixing angle in this case adopts a simple form, which is valid for small θ 13 , as experiments indicate, given by [28], (1 + cos(φ 1 − φ 2 ))+O(θ 13 ).…”

Section: Radiative Stability Of the Qlc Relationmentioning

confidence: 94%

Quark-lepton complementarity relation and neutrino mass hierarchy

Ferrandis

Pakvasa

2005

Phys. Rev. D

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Latest measurements have revealed that the deviation from a maximal solar mixing angle is approximately the Cabibbo angle (i.e. QLC relation). We argue that it is not plausible that this deviation from maximality, be it a coincidence or not, comes from the charged lepton mixing. Consequently we have calculated the required corrections to the exactly bimaximal neutrino mass matrix ansatz necessary to account for the solar mass difference and the solar mixing angle. We point out that the relative size of these two corrections depends strongly on the hierarchy case under consideration. We find that the inverted hierarchy case with opposite CP parities, which is known to guarantee the RGE stability of the solar mixing angle, offers the most plausible scenario for a high energy origin of a QLC-corrected bimaximal neutrino mass matrix. This possibility may allow us to explain the QLC relation in connection with the origin of the charged fermion mass matrices.

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“…Neglecting h 2 µ and h 2 e compared to h 2 τ , and taking the scale-independent vev as before, we have the complete RGEs for three neutrino mass eigenvalues [16],…”

Section: Methods B: Evolution Of Neutrino Mass Eigenvalues and Mixing mentioning

confidence: 99%

Numerical consistency check between two approaches to radiative corrections for neutrino masses and mixings

2005

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We briefly outline the two popular approaches on radiative corrections to neutrino masses and mixing angles, and then carry out a detailed numerical analysis for a consistency check between them in MSSM. We find that the two approaches are nearly consistent with a discrepancy of a factor of 13% in mass eigenvalues at low energy scale but the predictions on mixing angles are almost consistent. We check the stability of the three types of neutrino models, i.e., hierarchical, inverted hierarchical and degenerate models, under radiative corrections, using both approaches, and find consistent conclusions. The neutrino mass models which are found to be stable under radiative corrections in MSSM are the normal hierarchical model and the inverted hierarchical model with opposite CP parity. We also carry out numerical analysis on some important conjectures related to radiative corrections in MSSM, viz., radiative magnification of solar and atmospheric mixings in case of nearly degenerate model having same CP parity (MPR conjecture) and radiative generation of solar mass scale in exactly two-fold degenerate model with opposite CP parity and non-zero U e3 (JM conjecture). We observe certain exceptions to these conjectures. Finally the effect of scale-dependent vacuum expectation value in neutrino mass renormalisation is discussed.

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Fixed points in the evolution of neutrino mixings

Cited by 123 publications

References 32 publications

Neutrino mixings and leptonicCPviolation from CKM matrix and Majorana phases

Neutrino mixings and leptonicCPviolation from CKM matrix and Majorana phases

Quark-lepton complementarity relation and neutrino mass hierarchy

Numerical consistency check between two approaches to radiative corrections for neutrino masses and mixings

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