Geometrical CP violation from non-renormalisable scalar potentials

Abstract

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.

5 pages, 2 figures. v2: references added, accepted by PLB

References in corpus (5)

• The Flavor Group Delta(3n^2)
• The Flavor Group Delta(6n^2)
• Geometrical CP Violation
• Abelian symmetries in multi-Higgs-doublet models
• Abelian symmetries in multi-Higgs-doublet models

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