Accidental Symmetries in the 2HDMEFT

TL;DR

This paper systematically constructs and classifies accidental symmetries in the Two Higgs Model Effective Field Theory, including higher-dimensional operators, revealing new discrete symmetries and their parameter relations.

Contribution

It introduces novel methods to identify accidental symmetries in 2HDMEFT with higher-order operators and provides a comprehensive classification of these symmetries.

Findings

Identified 17 accidental symmetries in 2HDMEFT including dimension-6 and dimension-8 operators.

Discovered additional higher-order discrete symmetries such as Z_n and CP_n.

Derived relations governing parameters of symmetric effective potentials.

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.