Year of Graduation
2024
Level of Access
Restricted Access Thesis
Embargo Period
5-16-2024
Department or Program
Physics and Astronomy
First Advisor
Stephen G. Naculich
Abstract
Scattering amplitudes, used for calculating particle interaction probabilities, are
difficult to calculate in theories beyond the Standard Model. These theories are
often formulated as SO(N) gauge theories. This paper addresses this challenge
by deriving group-theoretic constraints on four-point color-ordered amplitudes
in SO(N) gauge theories at all loop order. We find that there exist 6L − 14
linearly independent color factors for L ≥ 5 and we derive their explicit form.
Restricted
Available only to users on the Bowdoin campus.