Abstract:
This thesis examines the impact of uniform background magnetic fields on antimuon decay within
the precision framework of electroweak theory. Through analytical derivation of matrix elements
from first principles via Feynman diagrams and the exact Dirac equation solution in magnetic
fields, novel numerical computations elucidate rich interplay between electroweak forces and
intense astrophysical-scale fields. Specifically, a MATLAB 2013a code evaluates kinematics and
computes differential decay rates in the laboratory frame as a function of squared four momentum transfer across diversified field strengths for various Landau level initial and final
state fermion configurations up to the tenth level. Results reveal the decay rate achieves sharp
maxima at moderate momentum transfers before increasing further with augmented fields and
momentum, occasionally exhibiting modified peak positions. Differential decay plots uncover
distinct rising and oscillating patterns dictated by initial states. This groundbreaking work
establishes an unprecedented rigorous theoretical and computational framework to model exotic
electroweak transformations at the particle-plasma-gravity astrophysics intersection, providing
deeper understanding of decay dynamics under cosmological conditions with profound
implications.
