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Related papers: Tree-level Split Helicity Amplitudes in Ambitwisto…

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Motivated by recent progress in calculating field theory amplitudes, we study applications of the basic ideas in these developments to the calculation of amplitudes in string theory. We consider in particular both non-Abelian and Abelian…

High Energy Physics - Theory · Physics 2010-05-28 Rutger Boels , Kasper J. Larsen , Niels A. Obers , Marcel Vonk

We compute the one-loop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and instanton sectors and the canonical…

High Energy Physics - Theory · Physics 2010-10-27 Louise Dolan , Peter Goddard

In this article we review, for a mathematical audience, the computation of (tree-level) scattering amplitudes in Yang-Mills theory in detail, in order to bridge the gap in understanding of the subject between mathematicians and physicists.…

High Energy Physics - Theory · Physics 2025-07-25 Shounak De , Dmitrii Pavlov , Marcus Spradlin , Anastasia Volovich

Single-minus tree-level $n$-gluon scattering amplitudes are reconsidered. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. We…

High Energy Physics - Theory · Physics 2026-03-11 Alfredo Guevara , Alexandru Lupsasca , David Skinner , Andrew Strominger , Kevin Weil

We explicitly compute the (NS) sector conventional type-I superstring tree-level amplitudes at five points after compactifying to 4-D, express the QFT building block in the helicity basis, and give several attempts towards arbitrary $n$…

High Energy Physics - Theory · Physics 2024-01-19 Chen Huang

We calculate analytically tree level amplitudes for Higgs production via Weak Bosons Fusion (WBF) and QCD corrections to the Standard Model prediction (SM) by using the helicity spinor formalism. We provide the explicit expression for the…

High Energy Physics - Phenomenology · Physics 2012-01-13 A. R. Fazio , S. C. Vargas

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 after one recently obtained for all tree…

High Energy Physics - Theory · Physics 2009-07-30 J. M. Drummond , M. Spradlin , A. Volovich , C. Wen

We provide a new proof of Cachazo-Svrcek-Witten rules for tree-level gluonic amplitudes. As a key step, we explicitly show the cancellation of spurious poles originating from the maximally helicity violating vertices in these rules. To…

High Energy Physics - Theory · Physics 2022-06-02 Wen-Jie Zhang , Jun-Bao Wu , Chuan-Jie Zhu

We propose a recursion relation for tree-level scattering amplitudes in three-dimensional Chern-Simons-matter theories. The recursion relation involves a complex deformation of momenta which generalizes the BCFW-deformation used in higher…

High Energy Physics - Theory · Physics 2015-03-17 Dongmin Gang , Yu-tin Huang , Eunkyung Koh , Sangmin Lee , Arthur E. Lipstein

We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other,…

High Energy Physics - Theory · Physics 2008-11-26 A. Cucchieri , S. Deser , M. Porrati

The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a…

High Energy Physics - Theory · Physics 2018-02-15 Enrique Alvarez , Sergio Gonzalez-Martin , Carmelo P. Martin

We study the factorisation properties of one-loop scattering amplitudes in the triple collinear limit and extract the universal splitting amplitudes for processes initiated by a gluon. The splitting amplitudes are derived from the analytic…

High Energy Physics - Phenomenology · Physics 2015-07-20 Simon Badger , Francesco Buciuni , Tiziano Peraro

The efficient computation of color-summed QCD amplitudes at high parton multiplicities remains a central challenge for precision collider predictions. Existing approaches using trace, color-flow, or adjoint bases suffer from…

High Energy Physics - Phenomenology · Physics 2025-07-31 Oskar Bolinder , Rikkert Frederix , Malin Sjodahl

We consider the calculation of n-point multigluon tree amplitudes with a pair of massive fermions in QCD. We give the explicit transformation rules of this kind of massive fermion-pair amplitudes with respect to different reference momenta…

High Energy Physics - Theory · Physics 2015-06-04 Jia-Hui Huang , Weijian Wang

In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in N=4 SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon…

High Energy Physics - Theory · Physics 2018-08-01 A. E. Bolshov , L. V. Bork , A. I. Onishchenko

We compute the planar part of the two-loop five gluon amplitude with all helicities positive. To perform the calculation we develop a D-dimensional generalized unitarity procedure allowing us to reconstruct the amplitude by cutting into…

High Energy Physics - Phenomenology · Physics 2015-07-21 Simon Badger , Hjalte Frellesvig , Yang Zhang

We use on-shell methods to calculate tree-level effective field theory (EFT) amplitudes, with no reference to the EFT operators. Lorentz symmetry, unitarity and Bose statistics determine the allowed kinematical structures. As a by-product,…

High Energy Physics - Phenomenology · Physics 2019-03-27 Yael Shadmi , Yaniv Weiss

We present all-multiplicity formulae for the tree-level scattering of gluons and gravitons in the maximal helicity violating (MHV) helicity configuration, calculated in certain chiral strong fields. The strong backgrounds we consider are…

High Energy Physics - Theory · Physics 2020-07-29 Tim Adamo , Lionel Mason , Atul Sharma

We derive a general expression for on-shell recursion relations of closed string tree-level amplitudes. Starting with the string amplitudes written in the form of the Koba-Nielsen integral, we apply the BCFW shift to deform them. In…

High Energy Physics - Theory · Physics 2025-03-11 Pongwit Srisangyingcharoen , Aphiwat Yuenyong

Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary $n$-point tree-level…

High Energy Physics - Theory · Physics 2018-05-09 Anders Schreiber , Anastasia Volovich , Michael Zlotnikov
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