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.
