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Is the Real Two-Higgs-Doublet Model Consistent?

Carlos Henrique de Lima1,2, Heather E Logan2

  • 1<a href="https://ror.org/03kgj4539">TRIUMF</a>, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada.

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This summary is machine-generated.

The real two-Higgs-doublet model shows inconsistencies due to quark-induced divergent CP violation (CPV). Divergent CPV emerges at seven loops, breaking approximate symmetries present at six loops.

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Area of Science:

  • Particle Physics
  • Quantum Field Theory
  • Standard Model Extensions

Background:

  • The real two-Higgs-doublet model (2HDM) is a popular extension of the Standard Model.
  • Renormalization is crucial for the consistency of quantum field theories.
  • CP violation (CPV) is a key phenomenon in particle physics.

Purpose of the Study:

  • To investigate the renormalization consistency of the real two-Higgs-doublet model.
  • To identify the origins and conditions for divergent CP violation (CPV) within the model.
  • To analyze the loop-dependent behavior of CPV in the 2HDM.

Main Methods:

  • Analysis of divergent diagrams in quantum field theory.
  • Application of renormalization group equations.
  • Symmetry analysis of Feynman diagrams.

Main Results:

  • The real two-Higgs-doublet model is shown to be inconsistent under renormalization.
  • Quark-induced divergent CP violation (CPV) is identified as the source of inconsistency.
  • Divergent CPV appears at seven loops due to the breaking of approximate symmetries present at six loops.

Conclusions:

  • The widely studied real two-Higgs-doublet model requires re-evaluation due to renormalization inconsistencies.
  • Understanding the loop-dependent nature of CPV is essential for theoretical model building.
  • The findings highlight the importance of symmetry considerations in quantum field theory.