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Related papers: Amplitude relations in heterotic string theory and…

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Britto, Cachazo and Feng have recently derived a recursion relation for tree-level scattering amplitudes in Yang-Mills. This relation has a bilinear structure inherited from factorisation on multi-particle poles of the scattering amplitudes…

High Energy Physics - Theory · Physics 2008-11-26 James Bedford , Andreas Brandhuber , Bill Spence , Gabriele Travaglini

We present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results exhibit the colour-kinematics duality in gauge theory…

High Energy Physics - Theory · Physics 2018-04-04 Yvonne Geyer , Ricardo Monteiro

In this talk, we review our recent work on direct evaluation of tree-level MHV amplitudes by Cachazo-He-Yuan (CHY) formula. We also investigate the correspondence between solutions to scattering equations and amplitudes in four dimensions…

High Energy Physics - Theory · Physics 2016-11-11 Yi-Jian Du , Fei Teng , Yong-Shi Wu

A formalism is provided to calculate tree amplitudes in open superstring theory for any multiplicity at any order in the inverse string tension. We point out that the underlying world-sheet disk integrals share substantial properties with…

High Energy Physics - Theory · Physics 2013-10-10 Johannes Broedel , Oliver Schlotterer , Stephan Stieberger

In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P^{3|4}, emphasizing that the problem of calculating Feynman diagrams is recast into the…

High Energy Physics - Theory · Physics 2011-05-05 Radu Roiban , Marcus Spradlin , Anastasia Volovich

We describe a new set of public, self-contained, and versatile computational tools for the investigation, manipulation, and evaluation of tree-level amplitudes in pure (super)Yang-Mills and (super)Gravity, $\phi^p$-scalar field theory, and…

High Energy Physics - Theory · Physics 2024-01-01 Jacob L. Bourjaily

A family of new twistor string theories is constructed and shown to be free from world-sheet anomalies. The spectra in space-time are calculated and shown to give Einstein supergravities with second order field equations instead of the…

High Energy Physics - Theory · Physics 2008-11-26 Mohab Abou-Zeid , Christopher M. Hull , Lionel J. Mason

The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in…

High Energy Physics - Theory · Physics 2017-07-24 Piotr Tourkine , Pierre Vanhove

This work considers a variation of the massive ambitwistor string model presented in arXiv:2301.11227 that describes supergravity and super-Yang-Mills on the Coulomb branch simultaneously with a single Lagrangian. All-multiplicity tree and…

High Energy Physics - Theory · Physics 2026-01-29 Christian Kunz

We explore and exploit the relation between non-planar correlators in ${\cal N}=4$ super-Yang-Mills, and higher-genus closed string amplitudes in type IIB string theory. By conformal field theory techniques we construct the genus-one,…

High Energy Physics - Theory · Physics 2019-06-26 Luis F. Alday , Agnese Bissi , Eric Perlmutter

We review recent developments in the study of gluon scattering amplitudes of the four-dimensional maximally supersymmetric Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. The…

High Energy Physics - Theory · Physics 2012-12-21 Yuji Satoh

At the tree level, the maximally helicity violating amplitudes of N gauge bosons in open superstring theory and of N gravitons in supergravity are known to have simple representations in terms of tree graphs. For superstrings, the graphs…

High Energy Physics - Theory · Physics 2015-06-15 Stephan Stieberger , Tomasz R. Taylor

Recently, Bern, Carrasco and Johansson conjectured dual identities inside the gluon tree scattering amplitudes. In this paper, we use the properties of the heterotic string and open string tree scattering amplitudes to refine and derive…

High Energy Physics - Theory · Physics 2012-11-21 S. -H. Henry Tye , Yang Zhang

We express all tree-level graviton amplitudes in Einstein's gravity as the collinear limits of a linear combination of pure Yang-Mills amplitudes in which each graviton is represented by two gauge bosons, each of them carrying exactly one…

High Energy Physics - Theory · Physics 2015-06-23 Stephan Stieberger , Tomasz R. Taylor

We further elaborate on the general construction proposed in arXiv:1812.03369, which connects, via tree-level double copy, massless string amplitudes with color-ordered QFT amplitudes that are given by Cachazo-He-Yuan formulas. The current…

High Energy Physics - Theory · Physics 2019-09-17 Song He , Fei Teng , Yong Zhang

We study linear relations between color-ordered all-plus amplitudes at one loop in Yang--Mills theory. We show that on general grounds, there are $(n-1)!/2-2$ relations for $n\ge 5$, leaving only two independent color-ordered amplitudes. We…

High Energy Physics - Theory · Physics 2025-05-22 David A. Kosower , Sebastian Pögel

We express one-loop closed string amplitudes as weighted sums over squares of open string one-loop subamplitudes. These findings generalize - subject to final complex structure modulus integration - the celebrated tree-level relationships…

High Energy Physics - Theory · Physics 2023-07-11 S. Stieberger

We present a new formulation for Yang-Mills scattering amplitudes in any number of dimensions and at any loop order, based on the same combinatorial and binary-geometric ideas in kinematic space recently used to give an all-order…

High Energy Physics - Theory · Physics 2025-05-02 Nima Arkani-Hamed , Qu Cao , Jin Dong , Carolina Figueiredo , Song He

A simple BRST-closed expression for the color-ordered super-Yang-Mills 5-point amplitude at tree-level is proposed in pure spinor superspace and shown to be BRST-equivalent to the field theory limit of the open superstring 5-pt amplitude.…

High Energy Physics - Theory · Physics 2010-11-26 Carlos R. Mafra

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 positive helicity gluons arises from a Jacobian…

High Energy Physics - Theory · Physics 2010-10-27 Andreas Brandhuber , Bill Spence , Gabriele Travaglini