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Related papers: The super-correlator/super-amplitude duality: Part…

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We summarise the status of an intriguing new duality between planar maximally helicity violating scattering amplitudes and light-like Wilson loops in N=4 super Yang-Mills. In particular, we focus on the role played by (dual) conformal…

High Energy Physics - Theory · Physics 2022-10-05 Johannes Henn

In this letter we consider the collinear limit of gluon scattering amplitudes in planar N=4 SYM theory at strong coupling. We argue that in this limit scattering amplitudes map into correlators of twist fields in the two dimensional…

High Energy Physics - Theory · Physics 2015-01-07 Benjamin Basso , Amit Sever , Pedro Vieira

We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n-point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like…

High Energy Physics - Theory · Physics 2021-02-03 Jorge Mago , Anders Schreiber , Marcus Spradlin , Anastasia Volovich

We present an on-shell formalism for superamplitudes of pure N<4 super Yang-Mills theory. Two superfields, Phi and Phi^+, are required to describe the two CPT conjugate supermultiplets. Simple truncation prescriptions allow us to derive…

High Energy Physics - Theory · Physics 2015-05-27 Henriette Elvang , Yu-tin Huang , Cheng Peng

We prove that the MHV vertex expansion is valid for any NMHV tree amplitude of N=4 SYM. The proof uses induction to show that there always exists a complex deformation of three external momenta such that the amplitude falls off at least as…

High Energy Physics - Theory · Physics 2009-04-17 Henriette Elvang , Daniel Z. Freedman , Michael Kiermaier

We compute the four-point amplitude with external adjoint particles in $\mathcal{N}=2$ SCQCD at two loops using $\mathcal{N}=1$ superspace Feynman diagrams, extending the results of arXiv:1406.7283. We consider the diagrammatic difference…

High Energy Physics - Theory · Physics 2015-06-15 Marta Leoni , Andrea Mauri , Alberto Santambrogio

Recent studies of scattering amplitudes in planar N=4 SYM theory revealed the existence of a hidden dual superconformal symmetry. Together with the conventional superconformal symmetry it gives rise to powerful restrictions on the planar…

High Energy Physics - Theory · Physics 2014-11-20 G. P. Korchemsky , E. Sokatchev

The collinear factorization properties of two-loop scattering amplitudes in dimensionally-regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of…

High Energy Physics - Theory · Physics 2010-11-15 C. Anastasiou , Z. Bern , L. Dixon , D. A. Kosower

We compute the six-particle maximally-helicity-violating (MHV) amplitude in planar ${\cal N}=4$ super-Yang-Mills theory at eight loops, using antipodal duality and the recently computed eight-loop three-point form factor for the chiral…

High Energy Physics - Theory · Physics 2023-08-17 Lance J. Dixon , Yu-Ting Liu

We show how Supersymmetric Ward identities can be used to obtain amplitudes involving gluinos or adjoint scalars from purely gluonic amplitudes. We obtain results for all one-loop six-point NMHV amplitudes in $\NeqFour$ Super Yang-Mills…

High Energy Physics - Theory · Physics 2009-11-11 Steven J. Bidder , David C. Dunbar , Warren B. Perkins

We study the first non-planar correction to gluon scattering amplitudes in ${\cal N}=4$ SYM theory. The correction takes the form of a double trace partial amplitude and is suppressed by one power of $1/N$ with respect to the leading single…

High Energy Physics - Theory · Physics 2018-09-26 Roy Ben-Israel , Alexander G. Tumanov , Amit Sever

We extend the applications of prescriptive unitarity beyond the planar limit to provide local, polylogarithmic, integrand-level representations of six-particle MHV scattering amplitudes in both maximally supersymmetric Yang-Mills theory and…

High Energy Physics - Theory · Physics 2021-06-01 Jacob L. Bourjaily , Enrico Herrmann , Cameron Langer , Andrew J. McLeod , Jaroslav Trnka

We give an explicit recursive formula for the all L-loop integrand for scattering amplitudes in N=4 SYM in the planar limit, manifesting the full Yangian symmetry of the theory. This generalizes the BCFW recursion relation for tree…

High Energy Physics - Theory · Physics 2011-01-17 Nima Arkani-Hamed , Jacob L. Bourjaily , Freddy Cachazo , Simon Caron-Huot , Jaroslav Trnka

We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6 ABJM and the…

High Energy Physics - Theory · Physics 2015-05-27 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , CarloAlberto Ratti , Alberto Santambrogio

We present compact formulas for the box coefficients of the six-point NMHV one-loop amplitudes in N=8 supergravity. We explicitly demonstrate that the corresponding box integral functions, with these coefficients, have the complete IR…

High Energy Physics - Theory · Physics 2011-09-29 N. E. J. Bjerrum-Bohr , David C. Dunbar , Harald Ita

We consider the $4d$ $\mathcal{N}=2$ superconformal quiver gauge theory obtained by a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two…

High Energy Physics - Theory · Physics 2025-05-08 Alessandro Pini , Paolo Vallarino

We show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal…

High Energy Physics - Theory · Physics 2010-12-14 Mathew Bullimore , Lionel Mason , David Skinner

We consider the four-point correlator of the stress-energy tensor multiplet in ${\cal N}=4$ SYM. In the planar limit and at large 't Hooft coupling such correlator is given by the corresponding holographic correlation function in IIB…

High Energy Physics - Theory · Physics 2017-11-01 Luis F. Alday , Agnese Bissi

We consider the recursion relation for loop integrands in planar N = 4 SYM generated by an all-line shift of momentum twistors. We examine the behaviour of the rational loop integrands when the shift parameter becomes large, and find that a…

High Energy Physics - Theory · Physics 2015-05-20 Mathew Bullimore

We derive a new non-singular tree-level KLT relation for the $n=5$-point amplitudes, with manifest $2(n-2)!$ symmetry, using information from one-loop amplitudes and IR divergences, and speculate how one might extend it to higher n-point…

High Energy Physics - Theory · Physics 2011-01-27 Horatiu Nastase , Howard J. Schnitzer