Stability of neutrino parameters and self-complementarity relation with varying SUSY breaking scale

Singh, K. Sashikanta; Roy, Sudhir C.; Singh, N. Nimai

doi:10.1103/physrevd.97.055038

Cited by 8 publications

(8 citation statements)

References 49 publications

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“…The present investigation is a continuation of our previous work on neutrino masses and mixings with varying SUSY breaking scale in the running of RGEs [18,22,32,[35][36][37][38]. We shall address both normal hierarchical and inverted hierarchical neutrino mass models in both approaches-in the first place, the bottom-up approach for running gauge and Yukawa couplings from low to high energy scale; and in the second place, the top-down approach for running neutrino parameters defined at high energy scale, along with gauge and Yukawa couplings, from high to low energy scale.…”

Section: Introductionmentioning

confidence: 74%

“…It has already been reported that for gauge couplings, the unification point increases with the increase in the SUSY breaking scale, but for Yukawa couplings the unification points decrease with the increase in SUSY breaking in the reverse order compared to the gauge couplings [18]. This finding has certain implications in other important issues such as running of the renormalization group equations (RGEs) [31][32][33] for neutrino masses and mixings from high energy seesaw scale to low energy electroweak scale. In this direction, a preliminary analysis with normal hierarchical model has already been carried out on the stability of neutrino parameters and self-complementarity relation [34] with varying SUSY breaking scale m s .…”

Section: Introductionmentioning

confidence: 98%

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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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Section: Introductionmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 98%

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 analysis shows the validity of the TBM and GR mixings at high seesaw scale M R , and the deviations are the effects of radiative corrections at low energy scale. For future investigations, it would be very interesting to consider higher SUSY breaking scale,m s as well as higher M R scale(2 × 10 16 GeV) for different tanβ values [34].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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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“…As it is mentioned that the above framework is considered at the GUT scale M GU T , we run the neutrino mass matrix m ν following a top-down approach [32][33][34][35][36][37][38][39][40][41] upto the level of M z scale. The analysis involves the heavy right-handed neutrino singlets and we see that the Renormalization Group Equations (RGE) for running the m ν in the interval of different thresholds are different [42][43][44][45][46][47][48].…”

Section: Modified Bilarge Ansatzmentioning

confidence: 99%

“…We take different values of m s ranging from 1 T eV to 14 T eV . The analysis requires the knowledge of numerical values of the three gauge coupling constants and three Yukawa couplings at the GUT scale [40,41]. For this, the respective RGE equations are run in the bottom-up approach for different values of m s (See Table . (2)).…”

Section: Numerical Analysismentioning

confidence: 99%

Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation

Roy,

Singh,

Borah

2020

Preprint

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The Gatto Sartori Tonin (GST) relation which establishes the Cabibbo angle in terms of the quark mass ratio: θ C = m d /m s , is instituted as θ 13 = m 1 /m 3 to a Bi-large motivated lepton mixing framework that relies on the unification of mixing parameters: θ 13 = θ C and θ 12 = θ 23 . This modification in addition to ruling out the possibility of vanishing θ 13 , advocates for a nonzero lowest neutrino mass and underlines the normal ordering of the neutrino masses. The framework is further enhanced by the inclusion of a charged lepton diagonalizing matrix U lL with (θ l 12 ∼ θ C , δ = 0). The model being architected at the Grand unification theory (GUT) scale is further run down upto the Z boson scale to understand the universality of the GST relation and the Cabibbo angle.

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Stability of neutrino parameters and self-complementarity relation with varying SUSY breaking scale

Cited by 8 publications

References 49 publications

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

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

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

Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation

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