Renormalisation group corrections to neutrino mixing sum rules

Self Cite

Sum rules in the lepton sector provide an extremely valuable tool to classify flavour models in terms of relations between neutrino masses and mixing parameters testable in a plethora of experiments. In this manuscript we identify new leptonic sum rules arising in models with modular symmetries with residual symmetries. These models simultaneously present neutrino mass sum rules, involving masses and Majorana phases, and mixing sum rules, connecting the mixing angles and the Dirac CP-violating phase. The simultaneous appearance of both types of sum rules leads to some non-trivial interplay, for instance, the allowed absolute neutrino mass scale exhibits a dependence on the Dirac CP-violating phase. We derive analytical expressions for these novel sum rules and present their allowed parameter ranges as well as their predictions at upcoming neutrino experiments.

mentioning

confidence: 61%

Section: More Models With Sum Rules: Phenomenological Resultsmentioning

confidence: 99%

Leptonic sum rules from flavour models with modular symmetries

Gehrlein

Spinrath

2021

Self Cite

“…[18,43] and the effects of renormalization group evolution of the leptonic mixing parameters on its predictions have been further investigated in refs. [95,96]. In ref.…”

Section: Models With Three Free Parametersmentioning

confidence: 99%

Testing lepton flavor models at ESSnuSB

Blennow

Ghosh

Ohlsson

et al. 2020

We review and investigate lepton flavor models, stemming from discrete non-Abelian flavor symmetries, described by one or two free model parameters. First, we confront eleven one-and seven two-parameter models with current results on leptonic mixing angles from global fits to neutrino oscillation data. We find that five of the one-and five of the two-parameter models survive the confrontation test at 3σ. Second, we investigate how these ten one-and two-parameter lepton flavor models may be discriminated at the proposed ESSnuSB experiment in Sweden. We show that the three one-parameter models that predict sin δ CP = 0 can be distinguished from those two that predict | sin δ CP | = 1 by at least 7σ. Finally, we find that three of the five one-parameter models can be excluded by at least 5σ and two of the one-parameter as well as at most two of the five two-parameter models can be excluded by at least 3σ with ESSnuSB if the true values of the leptonic mixing parameters remain close to the present best-fit values.

“…However, it is very small since the lightest neutrino mass vanishes in our framework as seen in ref. [64].…”

Section: Jhep11(2017)201mentioning

confidence: 99%

Towards the minimal seesaw model via CP violation of neutrinos

Shimizu

Takagi

Tanimoto

2017

Abstract:We study the minimal seesaw model, where two right-handed Majorana neutrinos are introduced, focusing on the CP violating phase. In addition, we take the trimaximal mixing pattern for the neutrino flavor where the charged lepton mass matrix is diagonal. Owing to this symmetric framework, the 3 × 2 Dirac neutrino mass matrix is given in terms of a few parameters. It is found that the observation of the CP violating phase determines the flavor structure of the Dirac neutrino mass matrix in the minimal seesaw model. New minimal Dirac neutrino mass matrices are presented in the case of TM 1 , which is given by the additional 2-3 family mixing to the tri-bimaximal mixing basis in the normal hierarchy of neutrino masses. Our model includes the Littlest seesaw model by King et al. as one of the specific cases. Furthermore, it is remarked that our 3 × 2 Dirac neutrino mass matrix is reproduced by introducing gauge singlet flavons with the specific alignments of the VEV's. These alignments are derived from the residual symmetry of S 4 group.