CP-odd invariants for multi-Higgs models: applications with discrete symmetry

Understand

CP-odd invariants provide a basis independent way of studying the CP properties of Lagrangians.

• We propose powerful methods for constructing basis invariants and determining whether they are CP-odd or CP-even, then systematically construct all of the simplest CP-odd invariants up to a given order, finding many new ones.
• The CP-odd invariants are valid for general potentials when expressed in a standard form.
• We then apply our results to scalar potentials involving three (or six) Higgs fields which form irreducible triplets under a discrete symmetry, including invariants for both explicit as well as spontaneous CP violation.