2020/07/31 by Callum Birch-Sykes, C. J. Birch-sykes, Neda Darvishi +2
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Combinatorics #Dimension (graph theory) #Geometry #Higgs boson #Homogeneous space #Mathematics #Neutrino Physics Research #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Prime (order theory) #Pure mathematics #Quantum mechanics #Representation (politics) #Symmetry (geometry) #Theoretical physics #hep-ph
paper · pdf · doi:10.1016/j.nuclphysb.2020.115171
published as Nucl.Phys.B 960 (2020) 115171 · 22 pages, 4 tables, references added
arxiv created 2020/08/07 · openalex publication_date 2020/09/16 · arxiv updated 2020/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Zn and CPn. 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.