https://doi.org/10.1140/epjc/s10052-017-4817-6
Regular Article - Theoretical Physics
Neutrino mass sum rules and symmetries of the mass matrix
1
Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology, Engesserstraße 7, 76131, Karlsruhe, Germany
2
Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain
3
Instituto de Física Teórica UAM/CSIC, Calle Nicolás Cabrera 13-15, Cantoblanco, 28049, Madrid, Spain
4
Physics Division, National Center for Theoretical Sciences, Hsinchu, 30013, Taiwan
* e-mail: julia.gehrlein@uam.es
Received:
8
February
2017
Accepted:
7
April
2017
Published online:
4
May
2017
Neutrino mass sum rules have recently gained again more attention as a powerful tool to discriminate and test various flavour models in the near future. A related question which has not yet been discussed fully satisfactorily was the origin of these sum rules and if they are related to any residual or accidental symmetry. We will address this open issue here systematically and find previous statements confirmed. Namely, the sum rules are not related to any enhanced symmetry of the Lagrangian after family symmetry breaking but they are simply the result of a reduction of free parameters due to skillful model building.
© The Author(s), 2017
