Viability of exact tri-bimaximal, golden-ratio and bimaximal mixing patterns and renormalization-group running effects

Zhang, Jue; Zhou, Shun

doi:10.1007/jhep09(2016)167

Cited by 13 publications

(5 citation statements)

References 101 publications

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“…In this case also, we find that the neutrino oscillation parameters θ 12 , θ 13 , ∆m 2 21 ,∆m From the tables above, it is seen that both the case of NH and IH of TBM and GR mixing matrix are valid at high energy scale considering the bound i |m i | < 0.23eV. This result contradicts the claim in earlier analysis [27], although the analysis is discussed with the inclusion of CP violating phases.…”

Section: Numerical Analysis and Resultscontrasting

confidence: 60%

Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings

Wilina¹,

Singh²,

Singh³

2022

Preprint

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The impact of renormalization group equations(RGEs) on neutrino masses and mixings at high energy scales in Minimal Supersymmetric Standard Model(MSSM) is studied using two different mixing patterns such as Tri-Bimaximal(TBM) mixing and Golden Ratio(GR) mixing in consistent with cosmological bound of the sum of three neutrino masses, i |m i |. Magnifications of neutrino masses and mixing angles at low energy scale, are obtained by giving proper input masses, and mixing angles from TBM mixing matrix and GR mixing matrix at high energy scales. High energy scales, M R such as 10 13 GeV,10 14 GeV,10 15 GeV are employed in the analysis. The large solar(θ 12 ) and atmospheric(θ 23 ) neutrino mixing angles with zero reactor angle (θ 13 ) from both TBM mixing matrix and GR mixing matrix at high scale, can magnify the reactor angle(θ 13 ) at low energy scale in 3σ confidence level. Both cases of normal hierarchy(NH) and inverted hierarchy(IH ) are addressed here. In normal hierarchical case, it is found that θ 23 51.1 • and that in inverted hierarchical case is θ 23 39.1 • in both mixing patterns. Possibility of θ 23 > 45 • or θ 23 < 45 • is observed at low scale. The analysis shows the validity of the two mixing patterns at high energy scale.

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Section: Numerical Analysis and Resultscontrasting

confidence: 60%

Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings

Wilina¹,

Singh²,

Singh³

2022

Preprint

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“…The numerical analysis in the present work shows the stability of both NH and IH neutrino mass models with the variation of SUSY breaking scale m s , and also the other two input parameters M R scale tan β for a wide range of input values. The present analysis can be applied to check the validity at low energy scale of certain mixing patterns such as tribimaximal [51][52][53][54] and golden ratio mixing patterns defined at high energy scale [34,[55][56][57][58].…”

Section: Summary and Discussionmentioning

confidence: 99%

Effects of Variations of SUSY Breaking Scale on Neutrino Parameters at Low Energy Scale under Radiative Corrections

Helensana

Singh

2022

Advances in High Energy Physics

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The paper addresses the effects of the variations of the SUSY breaking scale m s in the range (2-14) TeV on the three neutrino masses and mixings, in running the renormalization group equations (RGEs) for different input values of high energy seesaw scale M R , and in both normal and inverted hierarchical neutrino mass models. The present investigation is a continuation of the earlier works based on the variation of m s scale. Two approaches are adopted one after another—bottom-up approach for running gauge and Yukawa couplings from low to high energy scale, followed by the top-down approach from high to low energy scale for running neutrino parameters defined at high energy scale, along with gauge and Yukawa couplings. A self-complementarity relation among three mixing angles is also employed in the analysis and it is found to be stable under radiative correction. Significant effect due to radiative corrections on neutrino parameters with the variation of SUSY breaking scale m s is observed. For comparison of the results, variation of tan β for different M R is also considered.

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“…For large value of b tan , there should be SUSY threshold corrections which would lead to the modification of down-type quark and charged-lepton Yukawa coupling constants at the matching condition of SUSY breaking scale (m s ) as follows [23][24][25],…”

Section: Numerical Analysis Of Rges For Gr Tbm Hm and Bm Mixing Patternsmentioning

confidence: 99%

Comparative analysis on the validity of golden ratio, tri-bimaximal, hexagonal and bimaximal neutrino mixing patterns under the radiative corrections

Singh,

Shubhakanta Singh,

Nimai Singh

2024

Phys. Scr.

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We study the comparative analysis on the validity of four popular leptonic mixing patterns viz, golden ratio (GR), tri-bimaximal (TBM), hexagonal mixing (HM) and bimaximal (BM), which are assumed to be defined at high energy scale, $M_{R}=10^{16}$GeV. We perform numerical analysis of low energy neutrino oscillation parameters through the renormalisation group equations (RGEs) in both standard model (SM) and minimal supersymmetric standard model (MSSM) with the inclusion of scale dependent vacuum expectation value (VEV). The sum of three absolute neutrino mass eigenvalues obtained from the latest Planck cosmological data, $\sum \vert m_{i}\vert<0.12$ eV, is used as a constraint in the analysis of these four leptonic mixing patterns. We consider both normal hierarchical (NH) model and inverted hierarchical (IH) model in the analysis of these four leptonic mixing patterns, with SUSY breaking scale at $m_{s}$=1TeV and $\tan\beta=67$. Among the four mixing patterns, GR is found to satisfy the latest Planck cosmological data, $\sum \vert m_{i}\vert<0.12$ eV. Further analysis on the effect of the variation of SUSY breaking scale $1\text{TeV}\leq m_{s}\leq14\text{TeV}$ is also studied for GR neutrino mixing pattern in NH.

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Viability of exact tri-bimaximal, golden-ratio and bimaximal mixing patterns and renormalization-group running effects

Cited by 13 publications

References 101 publications

Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings

Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings

Effects of Variations of SUSY Breaking Scale on Neutrino Parameters at Low Energy Scale under Radiative Corrections

Comparative analysis on the validity of golden ratio, tri-bimaximal, hexagonal and bimaximal neutrino mixing patterns under the radiative corrections

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