Geometrical CP violation from non-renormalisable scalar potentials

Details Geometrical CP violation from non-renormalisable scalar potentials Geometrical CP violation from non-renormalisable scalar potentials

2012-04-16

arxiv.org/abs/1204.3633v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures

Scientific paper

We consider in detail the non-renormalisable scalar potential of three Higgs doublets transforming as an irreducible triplet of Delta(27) or Delta(54). We start from a renormalisable potential that spontaneously leads to a vacuum with CP-violating phases independent of arbitrary parameters - geometrical CP violation. Then we analyse to arbitrarily high order non-renormalisable terms that are consistent with the symmetry and we demonstrate that inclusion of non-renormalisable terms in the potential can preserve the geometrical CP-violating vacuum.

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