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

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arxiv 2408.04511 v3 pith:NJQYKT23 submitted 2024-08-08 hep-ph

classification hep-ph
keywords doubletformalismpotentialalgebracovariantdiraceffectivehiggs
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. GOOFy -- a systematic approach

    hep-ph 2026-02 conditional novelty 6.0 of 10

    GOOFy symmetry imposes parameter relations on scalar and fermion Lagrangians that stay fixed under renormalization-group running up to two and three loops.

  2. The goofy-symmetric Standard Model and the Hierarchy Problem

    hep-ph 2025-07 reject novelty 6.0 of 10

    The Standard Model action is invariant under goofy transformations when the Higgs mass term vanishes, offering a new symmetry-based protection of the Higgs mass and generating electroweak symmetry breaking through spo...

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