Renormalisation group analysis of single right-handed neutrino dominance

King, Stephen F.; Singh, N. Nimai

doi:10.1016/s0550-3213(00)00545-9

Cited by 82 publications

(76 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular the effect of right-handed neutrino thresholds [58] is expected to be negligible in this model since the heaviest right-handed neutrino mass is close to the GUT scale, while the lighter right-handed neutrinos have very small Yukawa couplings given by a ∼ 2.10 −5 and b ∼ 10 −3 from eq. (3.14).…”

Section: Numerical Results For Neutrino Masses and Lepton Mixingmentioning

confidence: 99%

A to Z of Flavour with Pati-Salam

King

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We propose an elegant theory of flavour based on A 4 × Z 5 family symmetry with Pati-Salam unification which provides an excellent description of quark and lepton masses, mixing and CP violation. The A 4 symmetry unifies the left-handed families and its vacuum alignment determines the columns of Yukawa matrices. The Z 5 symmetry distinguishes the right-handed families and its breaking controls CP violation in both the quark and lepton sectors. The Pati-Salam symmetry relates the quark and lepton Yukawa matrices, with Y u = Y ν and Y d ∼ Y e . Using the see-saw mechanism with very hierarchical right-handed neutrinos and CSD4 vacuum alignment, the model predicts the entire PMNS mixing matrix and gives a Cabibbo angle θ C ≈ 1/4. In particular, for a discrete choice of Z 5 phases, it predicts maximal atmospheric mixing, θ l 23 = 45 • ± 0.5 • and leptonic CP violating phase δ l = 260 • ± 5 • . The reactor angle prediction is θ l 13 = 9 • ± 0.5 • , while the solar angle is 34 • θ l 12 31 • , for a lightest neutrino mass in the range 0 m 1 0.5 meV, corresponding to a normal neutrino mass hierarchy and a very small rate for neutrinoless double beta decay.

show abstract

Section: Numerical Results For Neutrino Masses and Lepton Mixingmentioning

confidence: 99%

A to Z of Flavour with Pati-Salam

King

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…In either case, the masses of three light neutrinos are required to be nearly degenerate. As the seesaw threshold effect can significantly affect the RGE running behaviors in most cases [9][10][11]20], it is more likely that the dominant RGE enhancement of θ 13 occurs between Λ GUT and M 1 . We shall demonstrate this observation in our subsequent numerical calculations.…”

Section: Initial Conditions and Assumptionsmentioning

confidence: 99%

Radiative generation ofθ13with the seesaw threshold effect

Mei

Zhang

2004

Phys. Rev. D

View full text Add to dashboard Cite

We examine whether an appreciable value of the lepton flavor mixing angle θ 13 at the electroweak scale Λ EW can be radiatively generated from θ 13 = 0 • at the GUT scale Λ GUT . It is found that the renormalization-group running and seesaw threshold effects may lead to θ 13 ∼ 5 • at low energies for two simple large-maximal mixing patterns of the MNS matrix in the minimal supersymmetric standard model. If θ 12 is sufficiently large at Λ GUT , it will be possible to radiatively produce θ 13 ∼ 5 • at Λ EW both in the standard model and in its supersymmetric extensions. The mass spectrum of three heavy right-handed Majorana neutrinos and the cosmological baryon number asymmetry via leptogenesis are also calculated.

show abstract

“…RG induced deviations from various high scale symmetries like tri-bimaximal mixing scenario [52,53,54] or quark-lepton complimentarity [54,55,56,57] and correlations with low scale observables have been explored. Such effects can have significant contributions from the threshold corrections [58,59,60]. The RG evolution of the neutrino mass operator in the SM and the Minimal Supersymmetric Standard Model (MSSM) in the context of Type-I seesaw [59,61,62] and Type -II seesaw [63,64] have been studied in the literature.…”

Section: Introductionmentioning

confidence: 99%

Renormalization group evolution of neutrino masses and mixing in the Type-III seesaw mechanism

et al. 2009

View full text Add to dashboard Cite

We consider the standard model extended by heavy right handed fermions transforming as triplets under SU(2) L , which generate neutrino masses through the Type-III seesaw mechanism.At energies below their respective mass scales, the heavy fields get sequentially decoupled to give an effective dimension-5 operator. Above their mass thresholds, these fields also participate in the renormalization of the wavefunctions, masses and coupling constants. We compute the renormalization group evolution of the effective neutrino mass matrix in this model, with particular emphasis on the threshold effects. The evolution equations are obtained in a basis of neutrino parameters where all the quantities are well-defined everywhere, including at θ 13 = 0. We also point out the important role of the threshold effects and Majorana phases in the evolution of mixing angles through illustrative examples.

show abstract

Renormalisation group analysis of single right-handed neutrino dominance

Cited by 82 publications

References 37 publications

A to Z of Flavour with Pati-Salam

A to Z of Flavour with Pati-Salam

Radiative generation ofθ13with the seesaw threshold effect

Renormalization group evolution of neutrino masses and mixing in the Type-III seesaw mechanism

Contact Info

Product

Resources

About