General CP violation in minimal left–right symmetric model and constraints on the right-handed scale

2007/12/27 by Yue Zhang, Haipeng An, Xiangdong Ji +1 · 3 citations
Mathematics · Physics and Astronomy · #CP violation #Cabibbo–Kobayashi–Maskawa matrix #Dipole #Electric dipole moment #Higgs boson #Mass matrix #Mathematics #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutron electric dipole moment #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Top quark #Upper and lower bounds #Yukawa potential #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2008.05.019

published as Nucl.Phys.B802:247-279,2008 · 35 pages, 14 figures

arxiv created 2007/12/27 · openalex publication_date 2008/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In minimal left-right symmetric theories, the requirement of parity invariance allows only one complex phase in the Higgs potential and one in the Yukawa couplings, leading to a two-phase theory with both spontaneous and explicit CP violations. We present a systematic way to solve the right-handed quark mixing matrix analytically in this model and find that the leading order solution has the same hierarchical structure as the left-handed CKM matrix with one more CP-violating phase coming from the complex Higgs vev. Armed with this explicit right-handed mixing matrix, we explore its implications for flavor changing and conserving processes in detail, low-energy CP-violating observables in particular. We report an improved lower bound on the W_R mass of 2.5 TeV from ΔM_K and ΔM_B, and a somewhat higher bound (4 TeV) from kaon decay parameters ε, ε', and neutron electric dipole moment. The new bound on the flavor-changing neutral Higgs mass is 25 TeV.

Citations

• Standard model confronting new results for ε′/ε
• Matrix elements relevant forΔI=1/2rule andɛ′/ɛ from lattice QCD with staggered fermions
• Higgs sector of the left-right model with explicitCPviolation
• B-parameters of the complete set of matrix elements of (ΔB = 2) operators from the lattice
• Review of Particle Physics
• / at the NLO: 10 Years Later

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