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We propose a new integral formula for all tree-level scattering amplitudes of N=6 supersymmetric Chern-Simons theory. It resembles the Roiban-Spradlin-Volovich-Witten formula for N=4 supersymmetric Yang-Mills theory based on a twistor…

High Energy Physics - Theory · Physics 2013-05-30 Yu-tin Huang , Sangmin Lee

It has been recently conjectured that scattering amplitudes in planar N=4 super Yang-Mills are given by the volume of the (dual) amplituhedron. In this paper we show some interesting connections between the tree-level amplituhedron and a…

High Energy Physics - Theory · Physics 2016-03-23 Livia Ferro , Tomasz Lukowski , Andrea Orta , Matteo Parisi

In this paper we perform the calculation of the gravitational scattering amplitude for 4 massless scalars in quantum field theory and Type II superstring theory. We show that the results agree, providing an example of how gravity is…

High Energy Physics - Theory · Physics 2015-06-26 Jurgis Pasukonis

We 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 link we are able to give a general…

High Energy Physics - Theory · Physics 2015-06-05 Bo Feng , Song He

We show that a natural spinor-helicity formalism that can describe massive scattering amplitudes exists in $D=6$ dimensions. This is arranged by having helicity spinors carry an index in the Dirac spinor {\bf 4} of the massive little group,…

High Energy Physics - Theory · Physics 2019-05-01 Rishabh Jha , Chethan Krishnan , K. V. Pavan Kumar

In this short note, we propose an algorithm based on the expansions of amplitudes, the dimensional reduction technic and the differential operators, to calculate the tree level scalar-graviton amplitudes with two massive scalars, as well as…

High Energy Physics - Theory · Physics 2026-05-05 Kang Zhou , Guo-Jun Zhou

We reformulate MHV scattering amplitudes in 4D gauge theory and supergravity as correlation functions of bilinear operators in a supersymmetric gaussian matrix model. The model retains the symmetries of an S(4) of radius L and the matrix…

High Energy Physics - Theory · Physics 2013-11-05 Jonathan J. Heckman , Herman Verlinde

It is shown how tree-level multi-gluon helicity amplitudes with an arbitrary number of off-shell external gluons can be calculated via BCFW recursion. Compact expressions for helicity amplitudes for scattering processes of three and four…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. van Hameren

We calculate one-loop scattering amplitudes for gravitons and two-forms in dimensions greater than four. The string based Kawai-Lewellen-Tye relationships allow gravitons and two-forms to be treated in a unified manner. We use the results…

High Energy Physics - Theory · Physics 2017-01-25 David C. Dunbar , Nicolaus W. P. Turner

We extend the Berkovits-Maldacena prescription for MHV amplitudes of the open superstring to the closed superstring, showing that in the \alpha'=0 limit it reduces to the result of supergravity found recently by Hodges. We also verify that…

High Energy Physics - Theory · Physics 2013-11-06 Tiago Ursulino

Recent advances in our understanding of tree-level QCD amplitudes in the massless limit exploiting an effective (maximal) supersymmetry have led to the complete analytic construction of tree-amplitudes with up to four external…

High Energy Physics - Phenomenology · Physics 2013-02-08 Simon Badger , Benedikt Biedermann , Lucas Hackl , Jan Plefka , Theodor Schuster , Peter Uwer

In this note we study tree-level scattering amplitudes of gravitons under a natural deformation which in the large $z$ limit can be interpreted either as a $k$-hard-particle limit or as a $(n-k)$-soft-particle limit. When $k=2$ this becomes…

High Energy Physics - Theory · Physics 2024-05-02 Freddy Cachazo , Pablo Leon

We continue the study of the duality between super-correlators and scattering super-amplitudes in planar N=4 SYM. We provide a number of further examples supporting the conjectured duality relation between these two seemingly different…

High Energy Physics - Theory · Physics 2015-05-27 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in terms of `momentum twistors', as opposed…

High Energy Physics - Theory · Physics 2009-11-18 Lionel Mason , David Skinner

Prompted by recent progress in the study of N=4 super Yang-Mills amplitudes, and evidence that similar approaches might be relevant to N=8 supergravity, we investigate possible iterative structures and applications of Wilson loop techniques…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Brandhuber , Paul Heslop , Adele Nasti , Bill Spence , Gabriele Travaglini

We propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of…

High Energy Physics - Theory · Physics 2021-11-03 Andreas Brandhuber , Gang Chen , Gabriele Travaglini , Congkao Wen

We introduce a spinorial version of the scattering equations, the \emph{polarized scattering equations}, that incorporates spinor polarization data. They lead to new formulae for tree-level scattering amplitudes in six dimensions that…

High Energy Physics - Theory · Physics 2019-03-27 Yvonne Geyer , Lionel Mason

We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order…

High Energy Physics - Theory · Physics 2024-02-20 Andreas Brandhuber , Graham R. Brown , Gang Chen , Joshua Gowdy , Gabriele Travaglini

Recently, the accordiohedron in kinematic space was proposed as the positive geometry for planar tree-level scattering amplitudes in the $\phi^p$ theory \cite{Raman:2019utu}. The scattering amplitudes are given as a weighted sum over…

High Energy Physics - Theory · Physics 2020-08-26 Ryota Kojima

Here we construct N=4 SuperYang-Mills 6 point NMHV loop amplitude (amplitudes with three minus helicities) as a full superspace form, using the $SU(4)_{R}$ anti-commuting spinor variables. Amplitudes with different external particle and…

High Energy Physics - Theory · Physics 2009-11-11 Yu-tin Huang