Renormalisation Group Corrections to Neutrino Mass Sum Rules

Abstract

Neutrino mass sum rules are an important class of predictions in flavour models relating the Majorana phases to the neutrino masses. This leads, for instance, to enormous restrictions on the effective mass as probed in experiments on neutrinoless double beta decay. While up to now these sum rules have in practically all cases been taken to hold exactly, we will go here beyond that. After a discussion of the types of corrections that could possibly appear and elucidating on the theory behind neutrino mass sum rules, we estimate and explicitly compute the impact of radiative corrections, as these appear in general and thus hold for whole groups of models. We discuss all neutrino mass sum rules currently present in the literature, which together have realisations in more than 50 explicit neutrino flavour models. We find that, while the effect of the renormalisation group running can be visible, the qualitative features do not change. This finding strongly backs up the solidity of the predictions derived in the literature, and it thus marks a very important step in deriving testable and reliable predictions from neutrino flavour models.

25 pages, 3 figures, 39 additional plots; version published in JHEP

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Cited by in corpus (20)

• A White Paper on keV Sterile Neutrino Dark Matter
• A Global Bayesian Analysis of Neutrino Mass Data
• Assessing the Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing
• The symmetry approach to quark and lepton masses and mixing
• Towards the minimal seesaw model via CP violation of neutrinos
• Predictivity of Neutrino Mass Sum Rules
• Probing flavor models with Ge-76-based experiments on neutrinoless double-beta decay
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• Neutrino masses and lepton mixing from $A_5\times \mathrm{CP}$
• Radiative Corrections to the Solar Lepton Mixing Sum Rule
• A neutrino mass-mixing sum rule from SO(10) and neutrinoless double beta decay
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
• Sum Rules for Leptons
• The mass ratios parametrization
• Neutrino Mass Sum Rules
• Running of neutrino mass parameters in the Zee model