Accurate renormalization group analyses in neutrino sector

Haba, Naoyuki; Kaneta, Kunio; Takahashi, Ryo; Yamaguchi, Yuya

doi:10.1016/j.nuclphysb.2014.05.022

Cited by 7 publications

(5 citation statements)

References 59 publications

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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%

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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Section: Modified Bilarge Ansatzmentioning

confidence: 99%

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

Roy,

Singh,

Borah

2020

Preprint

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“…The radiative properties of neutrinos has been studied extensively in various models [41][42][43][44][45][46][47][48][49][50]. The standard two loops RGEs for the neutrino masses, mixings, and CP phases are shown below.…”

Section: Rges For Neutrino Parametersmentioning

confidence: 99%

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

Singh¹,

Roy²,

Singh³

2018

Preprint

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The scale at which supersymmetry (SUSY) breaks (m s ) is still unknown. The present article, following a top-down approach, endeavors to study the effect of varying m s on the radiative stability of the observational parameters associated with the neutrino mixing. These parameters get additional contributions in the minimal supersymmetric model (MSSM). A variation in m s will influence the bounds for which the Standard Model (SM) and MSSM work and hence will account for the different radiative contributions received from both sectors respectively, while running the renormalization group equations (RGE). The present work establishes the invariance of the self complementarity relation among the three mixing angles, θ 13 + θ 12 ≈ θ 23 against the radiative evolution. A similar result concerning the mass ratio, m 2 : m 1 is also found to be valid. In addition to varying m s , the work incorporates a range of different seesaw (SS) scales and tries to see how the latter affects the parameters.

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“…[15]). Note that for the running of the neutrino masses, decoupling effects cannot be neglected and even the top-quark decoupling may become important [26]. However, since we are mostly interested in the running of the mixing angles and CP phases here, it is justified to neglect decoupling effects.…”

Section: Iii1 Type-i Seesaw Modelmentioning

confidence: 99%

Neutrino anarchy and renormalization group evolution

Brdar¹,

König²

2016

Phys. Rev. D

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The observed pattern of neutrino mixing angles is in good agreement with the hypothesis of neutrino anarchy, which posits that Nature has chosen the entries of the leptonic mixing matrix at random. In this paper we investigate how stable this conclusion is under renormalization group effects. Working in the simplest type-I seesaw model and two variants of the inverse seesaw model we study how the statistical distributions of the neutrino mixing parameters evolve between the Grand Unification scale and the electroweak scale. Especially in the inverse seesaw case we find significant distortions: mixing angles tend to be smaller after RG running, and the Dirac CP phase tends to be closer to zero. The p-value describing the compatibility between the observed mixing angles and the anarchy hypothesis increases by 10-20%. This illustrates that RG effects are highly relevant for quantitative studies of the anarchy scenario.

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Accurate renormalization group analyses in neutrino sector

Cited by 7 publications

References 59 publications

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

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

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

Neutrino anarchy and renormalization group evolution

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