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

Understand

We consider an extension of the Standard Model in which the symmetry is enlarged by a global flavour factor A4 and the scalar sector accounts for three copies of the Standard Model Higgs, transforming as a triplet of A4.

• In this context, we study the most general scalar potential and its minima, performing for each of them a model independent analysis on the related phenomenology.
• We study 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 are affected by the introduction of multiple Higgses transforming under A4.
• We find that this model independent approach discriminates the different minima allowed by the scalar potential.