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

Das, Mrinal Kumar; Patgiri, Mahadev; Singh, N. Nimai

doi:10.1007/bf02705276

Cited by 11 publications

(11 citation statements)

References 32 publications

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“…where m f corresponds to m τ tan β for (m, n) = (6, 2), tan β = 40 in case of charged lepton and m t for (m, n) = (8,4) in the case of up quarks [24,25]. λ = 0.22 is the standard Wolfenstein parameter.…”

Section: Numerical Analysis and Resultsmentioning

confidence: 99%

Quasidegenerate neutrinos in type II seesaw models

2012

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We present an analysis of normal and inverted hierarchical neutrino mass models within the framework of tri-bi-maximal (TBM) mixing. Considering the neutrinos to be quasi-degenerate (QDN), we study two different neutrino mass models with mass eigenvalues (m 1 , −m 2 , m 3 ) and (m 1 , m 2 , m 3 ) for both normal hierarchical (NH) and inverted hierarchical (IH) cases. Parameterizing the neutrino mass matrix using best fit oscillation and cosmology data for a QDN scenario, we find the right-handed Majorana mass matrix using type I seesaw formula for two types of

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Section: Numerical Analysis and Resultsmentioning

confidence: 99%

Quasidegenerate neutrinos in type II seesaw models

2012

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“…Type-IHB is found to be more stable under radiative corrections in MSSM [17][18][19], whereas Type-IHA is more stable under the presence of left-handed Higgs triplet term in Type-II see-saw mechanism [20]. For our present analysis, we will not address the issue of stability of neutrino mass model.…”

Section: Analysis Of Inverted Hierarchical Modelsmentioning

confidence: 96%

Deviation from tri-bimaximal mixings through flavour twisters in inverted and normal hierarchical neutrino mass models

Singh

Rajkhowa

Borah³

2007

Pramana - J Phys

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We explore a novel possibility for lowering the solar mixing angle (θ12) from tri-bimaximal mixings, without sacrificing the predictions of maximal atmospheric mixing angle (θ 23 = 45 • ) and zero reactor angle (θ13 = 0 • ) in the inverted and normal hierarchical neutrino mass models having 2-3 symmetry. This can be done through the identification of a flavour twister term in the texture of neutrino mass matrix and the variation of such term leads to lowering of solar mixing angle. For the observed ranges of Δm 2 21 and Δm 2 23 , we calculate the predictions on tan 2 θ12 = 0.5, 0.45, 0.35 for different input values of the parameters in the neutrino mass matrix. We also observe a possible transition from inverted hierarchical model having even CP parity (Type-IHA) to inverted hierarchical model having odd CP parity (Type-IHB) in the first two mass eigenvalues, when there is a change in input values of parameters in the same mass matrix. The present work differs from the conventional approaches for the deviations from tri-bimaximal mixing, where the 2-3 symmetry is broken, leading to θ 23 = 45 • and θ13 = 0 • .

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“…where m f corresponds to m τ tan β for (m, n) = (6, 2), tan β = 40 in case of charged lepton (CL) and m t for (m, n) = (8,4) in the case of up-quarks (UQ) [30,31]. λ = 0.22 is the standard Wolfenstein parameter.…”

Section: Fig 11: Right Handed Neutrino Decaymentioning

confidence: 99%

Type II seesaw origin of nonzero θ₁₃, δ_CP and leptogenesis

Borah

2014

Int. J. Mod. Phys. A

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We discuss the possible origin of non-zero reactor mixing angle θ 13 and Dirac CP phase δ CP in the leptonic sector from a combination of type I and type II seesaw mechanisms. Type I seesaw contribution to neutrino mass matrix is of tri-bimaximal (TBM) type which gives rise to vanishing θ 13 leaving the Dirac CP phase undetermined. If the Dirac neutrino mass matrix is assumed to take the diagonal charged lepton type structure, such a TBM type neutrino mass matrix originating from type I seesaw corresponds to real values of Dirac Yukawa couplings in the terms Y ijLi HN j .This makes the process of right handed heavy neutrino decay into a light neutrino and Higgs (N → νH) CP preserving ruling out the possibility of leptogenesis. Here we consider the type II seesaw term as the common origin of non-zero θ 13 and δ CP by taking it as a perturbation to the leading order TBM type neutrino mass matrix. First, we numerically fit the type I seesaw term by taking oscillation as well as cosmology data and then compute the predictions for neutrino parameters after the type II seesaw term is introduced. We consider a minimal structure of the type II seesaw term and check whether the predictions for neutrino parameters lie in the 3σ range.We also compute the predictions for baryon asymmetry of the Universe by considering type II seesaw term as the only source of CP violation and compare it with the latest cosmology data.

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

Cited by 11 publications

References 32 publications

Quasidegenerate neutrinos in type II seesaw models

Quasidegenerate neutrinos in type II seesaw models

Deviation from tri-bimaximal mixings through flavour twisters in inverted and normal hierarchical neutrino mass models

Type II seesaw origin of nonzero θ₁₃, δ_CP and leptogenesis

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

Cited by 11 publications

References 32 publications

Quasidegenerate neutrinos in type II seesaw models

Quasidegenerate neutrinos in type II seesaw models

Deviation from tri-bimaximal mixings through flavour twisters in inverted and normal hierarchical neutrino mass models

Type II seesaw origin of nonzero θ13, δCP and leptogenesis

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Type II seesaw origin of nonzero θ₁₃, δ_CP and leptogenesis