Wuppertal 2015 – wissenschaftliches Programm
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T: Fachverband Teilchenphysik
T 33: Flavourphysik 1 (Theorie)
T 33.1: Vortrag
Montag, 9. März 2015, 16:45–17:00, K.12.20 (K2)
Sum rules in flavour models — •Julia Gehrlein, Jens P. Oppermann, Daniela Schäfer, and Martin Spinrath — Karlsruhe Institute of Technology, Karlsruhe, Germany
Flavour models with more predictions have a greater significance. Apart from predicting single observables sum rules show correlations between several observables. As an example for a flavour model including sum rules we study an SU(5) × A5 model which exhibits a neutrino mass sum rule and golden ratio mixing in the neutrino sector which is corrected from the charged lepton Yukawa couplings. The mass sum rule allows for both mass orderings but we will show that inverted ordering is not valid in this setup. Furthermore a sum rule for the angles appears due to the non-diagonal charged lepton basis. The sum rules allow us to analyse the renormalization group effects on the parameters in the neutrino sector. For normal ordering we find m1 of about 10-50 meV and all leptonic mixing angles in agreement with experiment. If time allows we will study the implications of sum rules on more general ground.