One-loop supergravity amplitudes from MHV diagrams

  title={One-loop supergravity amplitudes from MHV diagrams},
  author={Adele Nasti and Gabriele Travaglini},
  journal={Classical and Quantum Gravity},
  pages={6071 - 6095}
We discuss the calculation of one-loop amplitudes in supergravity using MHV diagrams. In this approach, one-loop amplitudes are expressed as sums of MHV diagrams, which incorporate large numbers of Feynman diagrams. In contrast to MHV amplitudes of gluons in Yang–Mills, tree-level MHV amplitudes of gravitons are not holomorphic in the spinor variables. In order to extend these amplitudes off shell, and use them as vertices to build loops, we introduce certain shifts for the spinor variables… 

Explicit cancellation of triangles in one-loop gravity amplitudes

We analyse one-loop graviton amplitudes in the field theory limit of a genus-one string theory computation. The considered amplitudes can be dimensionally reduced to lower dimensions preserving

On perturbative field theory and twistor string theory

It is well-known that perturbative calculations in field theory can lead to far simpler answers than the Feynman diagram approach might suggest. In some cases scattering amplitudes can be constructed

Novel approaches to perturbative scattering amplitudes in gauge theory and gravity

Scattering amplitudes of massless quanta play a crucial role in the calculation of cross sections for multi-jet production at hadron colliders. The framework provided by perturbative quantum field

Gravity, Twistors and the MHV Formalism

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

Twistor strings with flavour

We explore the tree-level description of a class of N = 2 UV-finite SYM the- ories with fundamental flavour within a topological B-model twistor string framework. In particular, we identify the

Adding flavour to twistor strings

Twistor string theory is known to describe a wide variety of field theories at tree- level and has proved extremely useful in making substantial progress in perturbative gauge theory. We explore the

A first course on twistors, integrability and gluon scattering amplitudes

These notes accompany an introductory lecture course on the twistor approach to supersymmetric gauge theories aimed at early stage PhD students. It was held by the author at the University of



Amplitudes in pure Yang-Mills and MHV Diagrams

We show how to calculate the one-loop scattering amplitude with all gluons of negative helicity in non-supersymmetric Yang-Mills theory using MHV diagrams. We argue that the amplitude with all

Non-supersymmetric loop amplitudes and MHV vertices

One-loop MHV rules and pure Yang-Mills

It has been known for some time that the standard MHV diagram formulation of perturbative Yang-Mills theory is incomplete, as it misses rational terms in one-loop scattering amplitudes of pure

One-loop MHV amplitudes in supersymmetric gauge theories

Using CSW rules for constructing scalar Feynman diagrams from MHV vertices, we compute the contribution of = 1 chiral multiplet to one-loop MHV gluon amplitude. The result agrees with the one

Fusing gauge theory tree amplitudes into loop amplitudes

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

Non-MHV Tree Amplitudes in Gauge Theory

We show how all non-MHV tree-level amplitudes in 0 ? ? 4 gauge theories can be obtained directly from the known MHV amplitudes using the scalar graph approach of Cachazo, Svrcek and Witten. Generic

Recursion Relations for one-loop gravity amplitudes

We study the application of recursion relations to the calculation of finite one-loop gravity amplitudes. It is shown explicitly that the known five, and six graviton one-loop amplitudes for which