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By breaking dual conformal invariance, we transform cluster-algebraic predictions for the alphabet of 9-point amplitudes in $\mathcal{N}=4$ super Yang-Mills theory to analogous predictions for 5- and 6-point processes in QCD. We start by…

High Energy Physics - Theory · Physics 2026-03-18 Rigers Aliaj , Garbriele Dian , Georgios Papathanasiou

Supersymmetric localization and Ward identities have been used in the past several years to derive two integral constraints on the four-point function of the stress-tensor multiplet in $\mathcal{N} = 4$ super-Yang-Mills theory. These…

High Energy Physics - Theory · Physics 2026-02-05 Shai M. Chester , Ross Dempsey , Debaditya Pramanik , Silviu S. Pufu

The proton to $\Delta^+$ resonance transitional gravitational form factors are calculated to leading one-loop order using chiral perturbation theory in our recent work [1]. We take into account the leading electromagnetic and strong…

High Energy Physics - Phenomenology · Physics 2025-03-31 Bao-Dong Sun

We derive novel recursion relations for all loop amplitude integrands of planar, maximally supersymmetric Yang-Mills theory in terms of unitarity-like `cuts' obtained via sequences of BCFW deformations in momentum-twistor space.

High Energy Physics - Theory · Physics 2023-05-04 Jacob L. Bourjaily , Simon Caron-Huot

We present a formulation of the maximally supersymmetric N=4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic…

High Energy Physics - Theory · Physics 2017-04-07 Dmitry Chicherin , Emery Sokatchev

We obtain the full-color four-loop three-point form factor of the stress-tensor supermultiplet in N=4 SYM, based on the color-kinematics (CK) duality and generalized unitarity method. The CK-dual solution, while manifesting all dual Jacobi…

High Energy Physics - Theory · Physics 2024-12-03 Guanda Lin , Gang Yang , Siyuan Zhang

In this letter, we consider a positive geometry conjectured to encode the loop integrand of four-point stress-energy correlators in planar $\mathcal{N}=4$ super Yang-Mills. Beginning with four lines in twistor space, we characterize a…

High Energy Physics - Theory · Physics 2024-10-03 Song He , Yu-tin Huang , Chia-Kai Kuo

A new topological conformal field theory in four Euclidean dimensions is constructed from N=4 super Yang-Mills theory by twisting the whole of the conformal group with the whole of the R-symmetry group, resulting in a theory that is…

High Energy Physics - Theory · Physics 2009-11-07 Paul de Medeiros , Jose Figueroa-O'Farrill , Christopher Hull , Bill Spence

We compute analytically the three-loop correlation function of the local operator $\text{tr} \, \phi^3$ inserted into three on-shell states, in maximally supersymmetric Yang-Mills theory. The result is expressed in terms of Chen iterated…

High Energy Physics - Theory · Physics 2024-10-31 Johannes M. Henn , Jungwon Lim , William J. Torres Bobadilla

In this paper we discuss different recursion relations (BCFW and all-line shift) for the form factors of the operators from the $\mathcal{N}=4$ SYM stress-tensor current supermultiplet $T^{AB}$ in momentum twistor space. We show that…

High Energy Physics - Theory · Physics 2016-09-28 L. V. Bork

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of N=4 SYM in twistor space. It yields the correlation functions in the Born approximation…

High Energy Physics - Theory · Physics 2015-04-15 D. Chicherin , R. Doobary , B. Eden , P. Heslop , G. P. Korchemsky , L. Mason , E. Sokatchev

We explore the space of non-gravitational, maximally supersymmetric, planar 4d effective field theories (EFTs) that have $\mathcal{N}=4$ super Yang-Mills (SYM) at leading order. We show that in the weakly-coupled regime, highly non-trivial…

High Energy Physics - Theory · Physics 2026-05-15 Henriette Elvang , Aidan Herderschee , Roger Morales

We construct the states and symmetries of N = 4 super-Yang-Mills by tensoring two N = 1 chiral multiplets and introducing two extra SUSY generators. This allows us to write the maximal N = 8 supergravity as four copies of the chiral…

High Energy Physics - Theory · Physics 2016-08-29 S. Nagy

The connection of maximally supersymmetric Yang-Mills theory to the (2,0) theory in six dimensions has raised the possibility that it might be perturbatively ultraviolet finite in five dimensions. We test this hypothesis by computing the…

High Energy Physics - Theory · Physics 2013-05-30 Zvi Bern , John Joseph Carrasco , Lance J. Dixon , Michael R. Douglas , Matt von Hippel , Henrik Johansson

A novel way of computing high-order amplitudes in the multi-Regge limit of planar maximally supersymmetric Yang-Mills theory is presented. In this framework, we are able to obtain high-loop and high-leg results by an easy operation on known…

We apply bootstrap techniques in order to constrain the CFT data of the $(A_1,A_2)$ Argyres-Douglas theory, which is arguably the simplest of the Argyres-Douglas models. We study the four-point function of its single Coulomb branch chiral…

High Energy Physics - Theory · Physics 2018-04-04 Martina Cornagliotto , Madalena Lemos , Pedro Liendo

We consider a family of $\mathcal{N}=2$ superconformal field theories in four dimensions, defined as $\mathbb{Z}_q$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a…

High Energy Physics - Theory · Physics 2023-01-11 Francesco Galvagno , Michelangelo Preti

We compute the symbol of the two-loop five-point amplitude in $\mathcal N=8$ supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only 4-dimensional leading singularities, but also $d$-dimensional…

High Energy Physics - Theory · Physics 2019-03-27 Samuel Abreu , Lance J. Dixon , Enrico Herrmann , Ben Page , Mao Zeng

We study the heavy-heavy-light (HHL) three-point functions in the planar N = 4 super-Yang- Mills theory using the recently proposed hexagon bootstrap program [arXiv:1505.06745]. We prove the conjecture of Bajnok, Janik and Wereszczynski…

High Energy Physics - Theory · Physics 2016-08-24 Yunfeng Jiang , Andrei Petrovskii

In this paper, we follow a Bootstrap-like approach to determine the most restricted form the finiteness constraint $\mathcal{F}(q,g,h,\kappa)$, which relates the four parameters of $\mathcal{N}=1$ Leigh-Strassler (LS) deformed models, by…

High Energy Physics - Theory · Physics 2026-01-07 Lucas S. Sousa