TY - JOUR
TI - One-loop maximally supersymmetric Yang-Mills scattering amplitudes to all orders in the spacetime dimension
DO - https://doi.org/doi:10.7282/T3RN37K4
PY - 2010
AB - In this thesis we discuss in detail computational methods and new results for one-loop virtual corrections to N = 4 super Yang-Mills scattering amplitudes calculated to all orders in [epsilon], the dimensional regularization parameter. It is often the case that one-loop gauge theory computations are carried out to O[epsilon]⁰, since higher order in [epsilon] contributions vanish in the [epsilon right arrow] 0 limit. We will show, however, that the higher order contributions are actually quite useful. In the context of maximally supersymmetric Yang-Mills, we consider two examples in detail to illustrate our point. First we will concentrate on computations with gluonic external states and argue that N = 4 supersymmetry implies a simple relation between all-orders-in-[epsilon] one-loop N = 4 super Yang-Mills amplitudes and the first and second stringy corrections to analogous tree-level N = 4 amplitudes. For our second example we will derive a new result for the all-orders-in-[epsilon] one-loop superamplitude for planar six-particle NMHV scattering, an object which allows one to easily obtain six-point NMHV amplitudes with arbitrary external states. To make the presentation as self-contained as possible, we extensively review the prerequisites necessary to understand the main results of this thesis.
KW - Physics and Astronomy
KW - Yang-Mills theory
KW - Scattering (Physics)
KW - Supersymmetry
LA - eng
ER -