Beyond basis invariants

Author(s)

Ivanov, Igor P. ^[1] ; Nishi, Celso C. ^[2] ; Trautner, Andreas ^[3]

Affiliation

^[1] Univ Lisbon, Inst Super Tecn, CFTP, Ave Rovisco Pais 1, P-1049001 Lisbon - Portugal

^[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP - Brazil

^[3] Max Planck Inst Kernphys, Saupfercheckweg 1, D-69117 Heidelberg - Germany

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL C; v. 79, n. 4 APR 8 2019.
• Web of Science Citations: 2

Abstract

Physical observables cannot depend on the basis one chooses to describe fields. Therefore, all physically relevant properties of a model are, in principle, expressible in terms of basis-invariant combinations of the parameters. However, in many cases it becomes prohibitively difficult to establish key physical features exclusively in terms of basis invariants. Here, we advocate an alternative route in such cases: the formulation of basis-invariant statements in terms of basis-covariant objects. We review several examples where the basis-covariant path is superior to the traditional approach in terms of basis invariants. In particular, this includes the formulation of necessary and sufficient basis-invariant conditions for various physically distinct forms of CP conservation in two- and three-Higgs-doublet models. (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