Basis-invariant conditions for CP symmetry of order four

Author(s)

Ivanov, Igor P. ; Nishi, Celso C. ; Silva, Joao P. ; Trautner, Andreas

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 99, n. 1, p. 17-pg., 2019-01-30.

Abstract

Three-Higgs-doublet models (3HDM) allow for a novel, physically distinct form of CP invariance: CP symmetry of order 4 (CP4). Due to the large basis change freedom in 3HDM, it is imperative to recognize the presence of a possibly hidden CP4 in a basis-invariant way. In the present work, we solve this problem and establish basis-invariant necessary and sufficient conditions for a 3HDM to possess a CP4 symmetry. We also derive a basis-invariant criterion to decide whether or not a CP4 symmetric 3HDM possesses any additional CP symmetry, as well as a criterion to decide whether or not CP4 is spontaneously broken. (AU)

• FAPESP's process: 14/19164-6 - Challenges in the 21st century in neutrino physics and astrophysics
• Grantee: Orlando Luis Goulart Peres
• Support Opportunities: Special Projects