Geometrical CP violation in multi-Higgs models

Abstract

We introduce several methods to obtain calculable phases with geometrical values that are independent of arbitrary parameters in the scalar potential. These phases depend on the number of scalars and on the order of the discrete non-Abelian group considered. Using these methods we present new geometrical CP violation candidates with vacuum expectation values that must violate CP (the transformation that would make them CP conserving is not a symmetry of the potential). We also extend to non-renormalisable potentials the proof that more than two scalars are needed to obtain these geometrical CP violation candidates.

8 pages, 2 figures. v2: table added, accepted by JHEP

References in corpus (6)

• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The Flavor Group Delta(3n^2)
• The Flavor Group Delta(6n^2)
• Geometrical CP violation from non-renormalisable scalar potentials
• Geometrical CP Violation
• Explicit and spontaneous breaking of SU(3) into its finite subgroups

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