2011/03/14 by Robert M. Schabinger, Schabinger, Robert M.
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.1103.2769
openalex publication_date 2011/03/14 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
In this paper we discuss in detail computational methods and new results for\none-loop virtual corrections to N = 4 super Yang-Mills scattering amplitudes\ncalculated to all orders in epsilon, the dimensional regularization parameter.\nIt is often the case that one-loop gauge theory computations are carried out to\norder epsilon0, since higher order in epsilon contributions vanish in the\nsmall epsilon limit. We will show, however, that the higher order contributions\nare actually quite useful. In the context of maximally supersymmetric\nYang-Mills, we consider two examples in detail to illustrate our point. First\nwe will concentrate on computations with gluonic external states and argue that\nN = 4 supersymmetry implies a simple relation between all-orders-in-epsilon\none-loop N = 4 super Yang-Mills amplitudes and the first and second stringy\ncorrections to analogous tree-level superstring amplitudes. For our second\nexample we will derive a new result for the all-orders-in-epsilon one-loop\nsuperamplitude for planar six-particle NMHV scattering, an object which allows\none to easily obtain six-point NMHV amplitudes with arbitrary external states.\nWe will then discuss the relevance of this computation to the evaluation of the\nratio of the planar two-loop six-point NMHV superamplitude to the planar\ntwo-loop six-point MHV superamplitude, a quantity which is expected to have\nremarkable properties and has been the subject of much recent investigation. To\nmake the presentation as self-contained as possible, we extensively review the\nprerequisites necessary to understand the main results of this work.\n