Speaker
Constantin Sluka
(University of Basel)
Description
We discuss how the double missing partner mechanism solution to the doublet-triplet splitting problem in four-dimensional supersymmetric SU(5) GUTs can be combined with GUT flavour models which predict the quark and lepton mass ratios. It is argued that towards this goal a second GUT breaking Higgs field in the adjoint representation is required. We discuss all possible renormalisable superpotentials of two adjoint Higgs fields in general and calculate the constraints on the GUT scale and effective triplet mass from a two-loop gauge coupling unification analysis. Two explicit models for the Yukawa sector are presented, including shaping symmetries and a renormalisable messenger sector. Towards calculating the proton decay via $d=5$ operators the Clebsch-Gordan coefficients for a selection of possible Yukawa coupling operators to the coloured Higgs triplets are presented. General implications for the proton decay in both example models are discussed.
Authors
Constantin Sluka
(University of Basel)
Dr
Ivo de Medeiros Varzielas
(University of Basel)
Dr
Martin Spinrath
(Karlsruhe Institute of Technology)
Prof.
Stefan Antusch
(University of Basel)
Mr
Vinzenz Maurer
(University of Basel)