General tree-level amplitudes by factorization limits
arXiv:1410.5042 · doi:10.1140/epjc/s10052-015-3391-z
Abstract
To find boundary contributions is a rather difficult problem when applying the BCFW recursion relation. In this paper, we propose an approach to bypass this problem by calculating general tree amplitudes that contain no polynomial using factorization limits. More explicitly, we construct an expression iteratively, which produces correct factorization limits for all physical poles, and does not contain other poles, then it should be the correct amplitude. To some extent, this approach can be considered as an alternative way to find boundary contributions. To demonstrate our approach, we present several examples: theory, pure gauge theory, Einstein-Maxwell theory, and Yukawa theory. While the amplitude allows the existence of polynomials which satisfy correct mass dimension and helicities, this approach is not applicable to determine the full amplitude.
29 pages
References in corpus (15)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- Perturbative Gauge Theory As A String Theory In Twistor Space
- New Recursion Relations for Tree Amplitudes of Gluons
- On Tree Amplitudes in Gauge Theory and Gravity
- On-Shell Methods in Perturbative QCD
- A direct proof of the CSW rules
- Taming Tree Amplitudes In General Relativity
- On-Shell Recursion Relations for Generic Theories
- Exploring the S-Matrix of Massless Particles
- BCFW Recursion Relation with Nonzero Boundary Contribution
- No triangles on the moduli space of maximally supersymmetric gauge theory
- An Introduction to On-shell Recursion Relations
- On the Tree-Level Structure of Scattering Amplitudes of Massless Particles
- A note on the boundary contribution with bad deformation in gauge theory
- Boundary Contributions Using Fermion Pair Deformation