• Corpus ID: 118565207

On-shell recursion relations for generic integrands

@article{Boels2016OnshellRR,
  title={On-shell recursion relations for generic integrands},
  author={Rutger H. Boels and Hui Luo},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}
  • R. Boels, Hui Luo
  • Published 17 October 2016
  • Physics
  • arXiv: High Energy Physics - Theory
The quantum effects encapsulated in loop corrections are crucial in quantum field theory for a wide variety of formal and phenomenological applications. In this article we propose and check a definition of the so-called single cut contributions needed to complete on-shell recursion relations for the integrand of scattering amplitudes in generic power-counting renormalisable theories at conjecturally any loop order. Our proposal meshes well with standard dimensional regularisation and applies in… 
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References

SHOWING 1-10 OF 56 REFERENCES
Loops and trees
We investigate relations between loop and tree amplitudes in quantum field theory that involve putting on-shell some loop propagators. This generalizes the so-called Feynman tree theorem which is
An introduction to on-shell recursion relations
This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we expose
One-loop amplitudes on the Riemann sphere
A bstractThe scattering equations provide a powerful framework for the study of scattering amplitudes in a variety of theories. Their derivation from ambitwistor string theory led to proposals for
On BCFW shifts of integrands and integrals
In this article a first step is made towards the extension of Britto-Cachazo-Feng-Witten (BCFW) tree level on-shell recursion relations to integrands and integrals of scattering amplitudes to
The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM
We give an explicit recursive formula for the all ℓ-loop integrand for scattering amplitudes in $ \mathcal{N} = 4 $ SYM in the planar limit, manifesting the full Yangian symmetry of the theory. This
From trees to loops and back
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
New Representations of the Perturbative S Matrix.
TLDR
A new framework to represent the perturbative S matrix is proposed, constructed from tree-level amplitudes and integrable term by term, derived from the Feynman expansion through a series of partial fraction identities, discarding terms that vanish upon integration.
On-shell diagrammatics and the perturbative structure of planar gauge theories
We discuss the on-shell diagrammatic representation of theories less special than maximally supersymmetric Yang-Mills. In particular, we focus on planar $\mathcal{N}\,\le\,2$ gauge theories,
One-loop corrections from higher dimensional tree amplitudes
A bstractWe show how one-loop corrections to scattering amplitudes of scalars and gauge bosons can be obtained from tree amplitudes in one higher dimension. Starting with a complete tree-level
New recursion relations for tree amplitudes of gluons
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