Author/Authors :
Stephen F. King، نويسنده , , Christoph Luhn، نويسنده , , Alexander J. Stuart، نويسنده ,
Abstract :
Recent results from the Daya Bay and RENO reactor experiments have measured the smallest lepton mixing angle and found it to have a value of image. This result presents a new challenge for the existing paradigms of discrete flavour symmetries which attempt to describe all quark and lepton masses and mixing angles. Here we propose a Supersymmetric Grand Unified Theory of Flavour based on image, together with a image symmetry, including a full discussion of image in a convenient basis. The Grand image Flavour Model relates the quark mixing angles and masses in the form of the Gatto–Sartori–Tonin relation and realises the Georgi–Jarlskog mass relations between the charged leptons and down-type quarks. We predict a Bi-trimaximal (not Tri-bimaximal) form of neutrino mixing matrix, which, after including charged lepton corrections with zero phase, leads to the following GUT scale predictions for the atmospheric, solar, and reactor mixing angles: image, image and image, in good agreement with recent global fits, and a zero Dirac CP phase image.