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Related papers: Scattering amplitudes in strongly coupled N=4 SYM …

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The most important aspects of scattering amplitudes have long been thought to be associated with their poles. But recently a very different sort of "split" factorizations for a wide range of particle and string tree amplitudes have been…

High Energy Physics - Theory · Physics 2024-05-17 Nima Arkani-Hamed , Carolina Figueiredo

We consider the leading and subleading UV divergences for the four-point on-shell scattering amplitudes in D=8 N=1 sypersymmetric Yang-Mills theory within the spinor-helicity and superfield formalism. This theory belongs to the class of…

High Energy Physics - Theory · Physics 2017-03-01 D. I. Kazakov , D. E. Vlasenko

We consider the description of reggeon amplitudes (Wilson lines form factors) in N=4 SYM within the framework of four dimensional ambitwistor string theory. The latter is used to derive scattering equations representation for reggeon…

High Energy Physics - Theory · Physics 2017-11-22 L. V. Bork , A. I. Onishchenko

We review two novel techniques used to calculate tree-level scattering amplitudes efficiently: MHV diagrams, and on-shell recursion relations. For the MHV diagrams, we consider applications to tree-level amplitudes and focus in particular…

High Energy Physics - Theory · Physics 2015-05-27 Andreas Brandhuber , Bill Spence , Gabriele Travaglini

We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configurations and arbitrary logarithmic accuracy. Our expression is…

High Energy Physics - Theory · Physics 2020-12-16 V. Del Duca , S. Druc , J. M. Drummond , C. Duhr , F. Dulat , R. Marzucca , G. Papathanasiou , B. Verbeek

Scattering amplitudes in Yang-Mills theory can be represented in the formalism of Cachazo, He and Yuan (CHY) as integrals over an auxiliary projective space---fully localized on the support of the scattering equations. Because solving the…

High Energy Physics - Theory · Physics 2016-12-21 N. E. J. Bjerrum-Bohr , Jacob L. Bourjaily , Poul H. Damgaard , Bo Feng

The correlator of a Wilson loop with a local operator in N=4 SYM theory can be represented by a string amplitude in AdS(5)xS(5). This amplitude describes an overlap of the boundary state, which is associated with the loop, with the string…

High Energy Physics - Theory · Physics 2009-11-07 V. Pestun , K. Zarembo

We study constraints from higher-point amplitudes on $2 \to 2$ scattering in the context of effective field theory (EFT) using the perturbative numerical S-matrix bootstrap. Specifically, we investigate the class of weakly coupled EFTs with…

High Energy Physics - Theory · Physics 2025-07-01 Justin Berman , Henriette Elvang , Carolina Figueiredo

We calculate on-shell scattering amplitudes involving fermions at the tree level in open superstring field theory. We confirm that four-point and five-point amplitudes in the world-sheet path integral with the standard prescription using…

High Energy Physics - Theory · Physics 2016-12-05 Hiroshi Kunitomo , Yuji Okawa , Hiroki Sukeno , Tomoyuki Takezaki

This paper investigates relationships between low-energy four-particle scattering amplitudes with external gauge particles and gravitons in the E_8 X E_8 and SO(32) heterotic string theories and the type I and type IA superstring theories…

High Energy Physics - Theory · Physics 2017-02-01 Michael B. Green , Arnab Rudra

In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$, we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge.…

High Energy Physics - Theory · Physics 2023-03-24 Hynek Paul , Eric Perlmutter , Himanshu Raj

Scattering amplitudes in superconformal field theories do not enjoy this symmetry, because the definition of asymptotic states involve a notion of infinity. Concentrating on planar $\mathcal{N}=4$ Yang-Mills, we consider a generalization of…

High Energy Physics - Theory · Physics 2015-05-28 Simon Caron-Huot

We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional $\mathcal{N} \leq 4$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes…

High Energy Physics - Theory · Physics 2017-09-13 Kai A. Roehrig

In this paper we review recent results on symmetries in N=4 super Yang-Mills theory. Symmetries are of invaluable help in studying and constraining the scattering amplitudes, and there has been a lot of progress in recent years concerning…

High Energy Physics - Theory · Physics 2015-03-19 L. Ferro

Using the AdS/CFT correspondence and the eikonal approximation, we evaluate the elastic parton-parton scattering amplitude at large $N$ and strong coupling $g^2N$ in N=4 SYM. We obtain a scattering amplitude with a Regge behavior that…

High Energy Physics - Theory · Physics 2009-10-31 Mannque Rho , Sang-Jin Sin , Ismail Zahed

The maximally helicity violating (MHV) amplitudes of ${\cal N} =4$ super Yang-Mills theory at strong coupling are obtained by solving auxiliary thermodynamic Bethe ansatz (TBA) integral equations. We consider a limit where the TBA equations…

High Energy Physics - Theory · Physics 2018-08-29 Katsushi Ito , Yuji Satoh , Junji Suzuki

As a simple example of how recently developed on-shell techniques apply to nonlocal theories, we study the S-matrix of noncommutative gauge theories. In the complex plane, this S-matrix has essential singularities that signal the nonlocal…

High Energy Physics - Theory · Physics 2011-02-09 Suvrat Raju

The recursive expansion of tree level multitrace Einstein-Yang-Mills (EYM) amplitudes induces a refined graphic expansion, by which any tree-level EYM amplitude can be expressed as a summation over all possible refined graphs. Each graph…

High Energy Physics - Theory · Physics 2021-05-05 Hongxiang Tian , Enze Gong , Chongsi Xie , Yi-Jian Du

As part of the Snowmass community planning exercise, we highlight an ongoing program of research into the structure of scattering amplitudes in N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors. This…

High Energy Physics - Theory · Physics 2022-07-22 Nima Arkani-Hamed , Lance J. Dixon , Andrew J. McLeod , Marcus Spradlin , Jaroslav Trnka , Anastasia Volovich

The calculation of scattering amplitudes in Yang-Mills theory at loop level is important for the analysis of background processes at particle colliders as well as our understanding of perturbation theory at the quantum level. We present…

High Energy Physics - Theory · Physics 2013-05-30 Rutger H. Boels , Reinke Sven Isermann