# New expressions for gravitational scattering amplitudes

```@article{Hodges2011NewEF,
title={New expressions for gravitational scattering amplitudes},
author={Andrew P. Hodges},
journal={Journal of High Energy Physics},
year={2011},
volume={2013},
pages={1-33}
}```
• A. Hodges
• Published 10 August 2011
• Physics
• Journal of High Energy Physics
A bstractNew methods are introduced for evaluating tree-level gravitational scattering amplitudes. A new N=7 super-symmetric recursion yields amplitudes free from the spurious double poles of the N=8 theory. This is illustrated by a new nine-term expression for the six-graviton NMHV amplitude. The general scheme also implies a simplified recurrence relation for MHV amplitudes. We show how this relation is satisfied by a new expression for MHV amplitudes, far simpler than those hitherto…
55 Citations
Gravitational scattering in the high-energy limit
A bstractAny gravitational scattering amplitude takes a remarkably simple factorized form at tree level in multi-Regge kinematics (MRK), where the produced particles are strongly ordered in rapidity.
Eliminating spurious poles from gauge-theoretic amplitudes
A bstractThis note addresses the problem of spurious poles in gauge-theoretic scattering amplitudes. New twistor coordinates for the momenta are introduced, based on the concept of dual conformal
Towards the Gravituhedron: new expressions for NMHV gravity amplitudes
In this paper, we present new expressions for n-point NMHV tree-level gravity amplitudes. We introduce a method of factorization diagrams which is a simple graphical representation of R-invariants in
Evidence for a New Soft Graviton Theorem
• Physics
• 2014
The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading order by the universal Weinberg pole formula. Gauge invariance of the formula follows from global
Gravity in Twistor Space and its Grassmannian Formulation
• Mathematics
• 2014
We prove the formula for the complete tree-level S-matrix of N = 8 super- gravity recently conjectured by two of the authors. The proof proceeds by showing that the new formula satisfies the same
Graphs, determinants and gravity amplitudes
• Geology
• 2012
A bstractWe apply the matrix-tree theorem to establish a link between various diagrammatic and determinant expressions, which naturally appear in scattering amplitudes of gravity theories. Using this
Constructing amplitudes from their soft limits
• Geology, Physics
• 2011
The existence of universal soft limits for gauge-theory and gravity amplitudes has been known for a long time. The properties of the soft limits have been exploited in numerous ways; in particular
Scattering of massless particles: scalars, gluons and gravitons
• Mathematics
• 2014
A bstractIn a recent note we presented a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. In this paper we show that a
A simpler prescription for MHV graviton tree amplitudes in superstring theory
A bstractWe extend the Berkovits-Maldacena prescription for MHV amplitudes of the open superstring to the closed superstring, showing that in the α′ = 0 limit it reduces to the result of supergravity
A simple formula for gravitational MHV amplitudes
A simple formula is given for the n-field tree-level MHV gravitational amplitude, based on soft limit factors. It expresses the full Sn symmetry naturally, as a determinant of elements of a symmetric

## References

SHOWING 1-10 OF 34 REFERENCES
Eliminating spurious poles from gauge-theoretic amplitudes
A bstractThis note addresses the problem of spurious poles in gauge-theoretic scattering amplitudes. New twistor coordinates for the momenta are introduced, based on the concept of dual conformal
Tree level recursion relations in general relativity
• Physics, Geology
• 2005
Recently, tree-level recursion relations for scattering amplitudes of gluons in Yang-Mills theory have been derived. In this note we propose a generalization of the recursion relations to tree-level
Tree-Level Amplitudes in N=8 Supergravity
• Physics
• 2009
We present an algorithm for writing down explicit formulas for all tree amplitudes in N=8 supergravity, obtained from solving the supersymmetric on-shell recursion relations. The formula is patterned
Twistor diagrams for all tree amplitudes in gauge theory: a helicity-independent formalism
We give a new formalism for pure gauge-theoretic scattering at tree-amplitude level. We first describe a generalization of the Britto-Cachazo-Feng recursion relation in which a significant
Gravity, Twistors and the MHV Formalism
• Physics
• 2010
We give a self-contained proof of the formula for the MHV amplitudes for gravity conjectured by Berends, Giele & Kuijf and use the associated twistor generating function to define a twistor action
Constructing gravity amplitudes from real soft and collinear factorization
• Geology
• 2012
Soft and collinear factorisations can be used to construct expressions for amplitudes in theories of gravity. We generalise the "half-soft" functions used previously to "soft-lifting" functions and
QUANTUM THEORY OF GRAVITY. III. APPLICATIONS OF THE COVARIANT THEORY.
The basic momentum-space propagators and vertices (including those for the fictitious quanta) are given for both the Yang-Mills and gravitational fields. These propagators are used to obtain the
Gravity amplitudes from n-space
A bstractWe identify a hidden GL(n,\$ \mathbb{C} \$) symmetry of the tree level n-point MHV gravity amplitude. Representations of this symmetry reside in an auxiliary n-space whose indices are external
The twelve-graviton next-to-MHV amplitude from Risager’s construction
• Geology
• 2012
A bstractThe MHV or CSW expansion of tree-level Yang-Mills amplitudes provides an elegant and simple way of obtaining analytic formulas for S-matrix elements. Inspired by the BCFW technique, a