Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-20
JHEP 1007:015,2010
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 4 figures
Scientific paper
10.1007/JHEP07(2010)015
Motivated by new techniques in the computation of scattering amplitudes of massless particles in four dimensions, like BCFW recursion relations, the question of how much structure of the S-matrix can be determined from purely S-matrix arguments has received new attention. The BCFW recursion relations for massless particles of spin 1 and 2 imply that the whole tree-level S-matrix can be determined in terms of three-particle amplitudes (evaluated at complex momenta). However, the known proofs of the validity of the relations rely on the Lagrangian of the theory, either by using Feynman diagrams explicitly or by studying the effective theory at large complex momenta. This means that a purely S-matrix theoretic proof of the relations is still missing. The aim of this paper is to provide such a proof for spin 1 particles by extending the four-particle test introduced by P. Benincasa and F. Cachazo in arXiv:0705.4305[hep-th] to all particles. We show how n-particle tests imply that the rational function built from the BCFW recursion relations possesses all the correct factorization channels including holomorphic and anti-holomorphic collinear limits. This in turn implies that they give the correct S-matrix of the theory.
He Song
Zhang Hongbao
No associations
LandOfFree
Consistency Conditions on S-Matrix of Spin 1 Massless Particles 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 Consistency Conditions on S-Matrix of Spin 1 Massless Particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Consistency Conditions on S-Matrix of Spin 1 Massless Particles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-667379