Abstract:We study the set of models in which the Standard Model symmetry is extended with the flavour group A 4 and there are three copies of the Standard Model Higgs that transform as a triplet under this group. In this setup, new channels for flavour violating processes can be studied once the A 4 representations of the fermions in the theory are given. We show that it is of great importance to take these constraints into account as they can put severe constraints on the viability of flavour models.

Using data from the FOCUS experiment we analyze the D + π − and D 0 π + invariant mass distributions. We measure the D * 0 2 mass M D * 0 2 = (2464.5 ± 1.1 ± 1.9) MeV/c 2 and width Γ D * 0 2

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We formulate a consistent model predicting, in the leading order approximation, maximal atmospheric mixing angle, vanishing reactor angle and tan θ 12 = 1/φ where φ = (1 + √ 5)/2 is the Golden Ratio. The model is based on the flavour symmetry A 5 ×Z 5 ×Z 3 , spontaneously broken by a set of flavon fields. By minimizing the scalar potential of the theory up to the next-to-leading order in the symmetry breaking parameter, we demonstrate that this mixing pattern is naturally achieved in a finite portion of the parameter space, through the vacuum alignment of the flavon fields. The leading order approximation is stable against higher-order corrections. We also compare our construction to other models based on discrete symmetry groups.