Accidental Symmetries in the 2HDMEFT

Abstract

We construct accidentally symmetric potentials in the framework of Two Higgs Model Effective Field Theory (2HDMEFT) including higher-order operators of dimension 6 and dimension 8. Our construction is facilitated by an earlier developed technique based on prime invariants. In addition, we employ an alternative method that utilises the generators of each symmetry in the bi-adjoint representation and show how this method can be used to identify operators of any higher dimension. The accidentally symmetric 2HDMEFT potentials exhibit two classes of symmetries: (i) continuous symmetries and (ii) discrete symmetries. The number of continuous symmetries in the 2HDMEFT remains the same as in the 2HDM. However, the introduction of higher-order operators allows additional higher-order discrete symmetries, such as $Z_n$ and CP$n$. We classify the full list of the 17 accidental symmetries in the 2HDMEFT including dimension-6 and dimension-8 operators, and derive the relations that govern the theoretical parameters of the corresponding effective potentials.

22 pages, 4 tables, references added

References in corpus (5)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Structure of potentials with $N$ Higgs doublets

Cited by in corpus (2)

• Automated Ring-Diagram Framework for Classifying CP Invariants
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets