# Münster 2017 – wissenschaftliches Programm

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# T: Fachverband Teilchenphysik

## T 20: Beyond the Standard Model (Theorie) 1

### T 20.4: Vortrag

### Montag, 27. März 2017, 17:30–17:45, VSH 19

**CP-odd invariants for multi-Higgs models: applications with discrete symmetry** — •Thomas Neder — Instituto de Física Corpuscular, C.S.I.C./Universitat de València, Valencia, Spain

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.
The considered cases include one triplet of Standard Model (SM) gauge
singlet scalars, one triplet of SM Higgs doublets, two triplets of SM singlets, and
two triplets of SM Higgs doublets. For each case we study the potential
symmetric under one of the simplest discrete symmetries with irreducible
triplet representations, namely *A*_{4}, *S*_{4}, Δ(27) or Δ(54),
as well as the infinite classes of discrete symmetries Δ(3*n*^{2}) or Δ(6*n*^{2}).