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. While the effect of the renormalisation group running can be visible, the qualitative features do not change. This changes somewhat for model dependent corrections which might alter even the qualitative predictions but only for large corrections and a high neutrino mass scale close to the edge of the current limits. This finding backs up the solidity of the predictions derived in the literature apart from some exceptions, and it thus marks a very important step in deriving testable and robust predictions from neutrino flavour models.

3 pages; proceedings of Neutrino 2016, XXVII International Conference on Neutrino Physics and Astrophysics, 4-9 July 2016, London, UK

References in corpus (13)

• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• A SUSY A4 model for fermion masses and mixings
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• An A4 flavor model for quarks and leptons in warped geometry
• Soft L_e-L_mu-L_tau flavour symmetry breaking and sterile neutrino keV Dark Matter
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Probing flavor models with Ge-76-based experiments on neutrinoless double-beta decay
• Sum Rules for Leptons