STUDYING THE EFFECT OF UNIFORM BACKGROUND MAGNETIC FIELD ON THE ANTIMUON DECAY WITHIN THE FRAMEWORK OF ELECTROWEAK THEORY

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.