Potential solution to strong CP violation: X±

Abstract

The strong charge parity (CP) violation has been an open problem for many years. Expanding the current standard model (SM) to include new physics particles is a potential approach to explain it. To do so, X± was introduced with X⁺ coupling to anti-ferimion current and X⁻ to fermion current. As possible channels for searches for X±, we have considered X⁺ in e⁺−e⁺ scattering and X⁻ in e⁻−e⁻ scattering. The difference between the cross sections was calculated using Mathematica with packages FeynArts, FeynCalc, Form and LoopTools at one loop level accuracy. The results were displayed in the form of exclusion plots. In the exclusion plots, the possible range of physical parameters of the new particles were tested, such as masses, couplings and phase factors. Feynman rules, amplitude calculation and different renormalization methods at one loop level were also discussed to demonstrate the algorithmic potential for cross section calculation. In addition, new models for FeynArts and FormCalc were programmed to include the new particles. However, in order to further test the new physics particles influence on strong CP violation, more research is needed. More specifically, one must test the hadronic interactions for X±.