Formula omitted] scattering in a strong magnetic field and LV background

Abstract

We consider the Standard Model Extension (SME) by dμν Lorentz violating parameter that can produce the electric dipole moment (EDM) and obtain the cross section of electron–positron to muon–anti- muon scattering in the presence of a strong magnetic field and the Lorentz violation (LV) background. The cross section has two terms; the second term is interesting and directly proportional to the magnitude of the magnetic field and the EDM of the particle. According to the last limits on EDM of muon, one cannot hope to discover the new physics even at 2Tev center of mass energies. But in the case of tau, around 750Gev center of mass energy, we expect to discover the effect of EDM. In the SME that the EDM of the particle is dependent on the Lorentz violation coefficient dμν and the energy of the particle, it is expected that the effects of the EDM will be more noticeable at high energies. In this model, by the assumption that dμν is 9×10−10 for muon and dμν is 2.2×10−5 for tau, the effect of EDM can be more visible in the limits of s=500GeV and s=400GeV respectively. Since many of the scatterings that occur in the cosmos are in strong magnetic fields and at high energies, the study of these scatterings contains important information for the analysis of cosmic phenomena.