Dirac Algebra Formalism for Two Higgs Doublet Models: the One-Loop Effective Potential

2024/08/08 by Apostolos Pilaftsis, Pilaftsis, Apostolos · 4 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2408.04511

openalex publication_date 2024/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a novel covariant bilinear formalism for the Two Higgs Doublet Model (2HDM) which utilises the Dirac algebra associated with the SL(2,C) group that acts on the scalar doublet field space. This Dirac-algebra approach enables us to obtain a fully O(1,3)-covariant and IR-safe expression for the one-loop effective potential. We illustrate how the formalism can be used to evaluate the breaking of global symmetries of the 2HDM potential by loop effects, in a field-reparameterisation invariant manner.

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