NEUTRINO-INDUCED ELECTRON-POSITRON PAIR-PRODUCTION IN A UNIFORM BACKGROUND MAGNETIC FIELD: CASE OF CHARGED CURRENT PROCESS

Abstract

This study is to present an electroweak description of neutrino-induced electron-positron pair production in the presence of a strong background magnetic field. The determination of the scattering matrix, scattering amplitude and numerical analysis of the rate of electron positron pair production for the charged current reaction within the context of the standard model were the main focuses of this work. An electromagnetic field has many effects on neutrino physics due to the interaction with a charged particle in the process. Feynman rules were applied to calculate the scattering matrix element for a process in a charged current reactions mediated by . The modified Dirac equation is derived and solved when a constant magnetic field is present. The modulus square of the invariant matrix element was manipulated into a contraction between the electron and positron tensors. The kinematic arrangement was set such that the four-momenta are calculated in the frame in which the magnetic field is stationary, and the electron-neutrino and positron-neutrino planes of the process were set to be coplanar constrained on the -plane. Python source code was developed to generate numerical results. The results of the numerical analysis show that the production rate attains its peak in the low energy range when both electron and positron are in their lower Landau levels. Moreover, as the magnetic field strength increases, the peak of the production increases as well with slight shift to the right. In addition, the contributions of low Landau levels show relative dominance over a wider range of the incident energy.