Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-10-31
JHEP0601:142,2006
Physics
High Energy Physics
High Energy Physics - Theory
52 pages, 17 figures. Some typos in Appendix A corrected
Scientific paper
10.1088/1126-6708/2006/01/142
We argue that generic one-loop scattering amplitudes in supersymmetric Yang-Mills theories can be computed equivalently with MHV diagrams or with Feynman diagrams. We first present a general proof of the covariance of one-loop non-MHV amplitudes obtained from MHV diagrams. This proof relies only on the local character in Minkowski space of MHV vertices and on an application of the Feynman Tree Theorem. We then show that the discontinuities of one-loop scattering amplitudes computed with MHV diagrams are precisely the same as those computed with standard methods. Furthermore, we analyse collinear limits and soft limits of generic non-MHV amplitudes in supersymmetric Yang-Mills theories with one-loop MHV diagrams. In particular, we find a simple explicit derivation of the universal one-loop splitting functions in supersymmetric Yang-Mills theories to all orders in the dimensional regularisation parameter, which is in complete agreement with known results. Finally, we present concrete and illustrative applications of Feynman's Tree Theorem to one-loop MHV diagrams as well as to one-loop Feynman diagrams.
Brandhuber Andreas
Spence Bill
Travaglini Gabriele
No associations
LandOfFree
From Trees to Loops and Back does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with From Trees to Loops and Back, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From Trees to Loops and Back will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-292352