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We consider an extension of the Standard Model in which the symmetry isenlarged by a global flavour factor A4 and the scalar sector accounts for threecopies of the Standard Model Higgs, transforming as a triplet of A4. In thiscontext, we study the most general scalar potential and its minima, performingfor each of them a model independent analysis on the related phenomenology. Westudy the scalar spectrum, the new contributions to the oblique corrections,the decays of the Z and W, the new sources of flavour violation, which all areaffected by the introduction of multiple Higgses transforming under A4. We findthat this model independent approach discriminates the different minima allowedby the scalar potential.

Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential