Resonant CP violation induced by particle mixing in transition amplitudes

1997/02/28 by Apostolos Pilaftsis · 12 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph

paper · pdf · doi:10.1016/s0550-3213(97)00469-0

published as Nucl.Phys.B504:61-107,1997 · 57 pages, extended version, many typos corrected and new remarks added for clarity. Version to appear in Nucl. Phys. B

arxiv created 1997/07/10 · openalex publication_date 1997/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze CP violation in resonant transitions involving scalar as well as fermionic intermediate states, using a gauge-invariant resummation approach implemented by the pinch technique. We derive the necessary conditions for resonantly enhanced CP violation induced by particle mixing, by paying special attention to CPT invariance, and apply the results of our analysis to two representative new-physics scenarios: (i) the indirect mixing of a CP-even Higgs scalar with a CP-odd Higgs particle in two-Higgs doublet models and (ii) the CP-asymmetric mixing between the top quark and a new heavy up-type quark, t', in mirror fermion models. Furthermore, we explicitly demonstrate the equivalence of our scattering-amplitude formalism with that based on the effective Hamiltonian and discuss the possibility of maximal CP violation in the limiting case of two degenerate particles.

Citations

• Current algebra formulation of radiative corrections in gauge theories and the universality of the weak interactions
• s-Channel Higgs Boson Production at a Muon-Muon Collider
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• Dynamical mass generation in continuum quantum chromodynamics

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