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We discuss recent progress in the determination of correlators of chiral primary operators in N=4 Super-Yang-Mills theory, based on a combination of superconformal covariance arguments in N=2 harmonic superspace, and Intriligator's…

High Energy Physics - Theory · Physics 2007-05-23 B. Eden , C. Schubert , E. Sokatchev

We compute the three-loop non-singlet corrections to the photon-quark form factors taking into account the full dependence on the virtuality of the photon and the quark mass. We combine the method of differential equations in an effective…

High Energy Physics - Phenomenology · Physics 2022-05-11 Matteo Fael , Fabian Lange , Kay Schoenwald , Matthias Steinhauser

We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N=1,2,4 supercharges. These operators have an autonomous scale dependence to…

High Energy Physics - Theory · Physics 2010-04-05 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

We propose an integrability setup for the computation of correlation functions of gauge-invariant operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at higher orders in the large $N_{\text{c}}$ genus expansion and at any order in…

High Energy Physics - Theory · Physics 2019-06-05 Till Bargheer , Joao Caetano , Thiago Fleury , Shota Komatsu , Pedro Vieira

Four-dimensional N-extended superconformal symmetry and correlation functions of quasi-primary superfields are studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park

We compute the contribution of twist-2 and twist-3 parton distribution functions to the small-$b$ expansion for transverse momentum dependent (TMD) distributions at all powers of $b$. The computation is done by the twist-decomposition…

High Energy Physics - Phenomenology · Physics 2020-08-06 Valentin Moos , Alexey Vladimirov

We apply MHV diagrams to the derivation of the one-loop dilatation operator of N=4 super Yang-Mills in the SO(6) sector. We find that in this approach the calculation reduces to the evaluation of a single MHV diagram in dimensional…

High Energy Physics - Theory · Physics 2015-03-05 Andreas Brandhuber , Brenda Penante , Gabriele Travaglini , Donovan Young

The study of three dimensional CFT correlators in twistor space has recently garnered a significant interest. Conformal symmetry acts linearly in the twistor space, which streamlines the analysis. Moreover, twistors provide a connection to…

High Energy Physics - Theory · Physics 2025-08-05 Deep Mazumdar

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the…

High Energy Physics - Theory · Physics 2021-05-05 Guanda Lin , Gang Yang

We study a novel geometric expansion for scattering amplitudes in the planar sector of N=4 super Yang-Mills theory, in the context of the Amplituhedron which reproduces the all-loop integrand as a canonical differential form on the positive…

High Energy Physics - Theory · Physics 2024-01-01 Taro V. Brown , Umut Oktem , Shruti Paranjape , Jaroslav Trnka

We show that position space correlators of a Poincare invariant quantum field theory can be recast in terms of conformally invariant correlators, in other words, as functions of conformal cross ratios. In particular, we show that…

High Energy Physics - Theory · Physics 2024-12-31 Siddharth G. Prabhu

In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 super-Yang-Mills theory. Like the recent proposal of Witten, this string theory uses twistor worldsheet variables and has manifest…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits

{\it Perturbiner}, that is, the solution of field equations which is a generating function for tree form-factors in N=3 $(N=4)$ supersymmetric Yang-Mills theory, is studied in the framework of twistor formulation of the N=3 superfield…

High Energy Physics - Theory · Physics 2009-10-31 K. G. Selivanov

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 study real-time holographic four point Wightman functions involving scalars, photons, gluons and gravitons in the Poincare patch of AdS$_4$. We show that when the momenta of the middle two operators are spacelike, four-point exchange…

High Energy Physics - Theory · Physics 2025-12-05 Arhum Ansari , Sachin Jain , Dhruva K. S

We construct a minitwistor action for Yang--Mills--Higgs theory in three dimensions. The Feynman diagrams of this action will construct perturbation theory around solutions of the Bogomolny equations in much the same way that MHV diagrams…

High Energy Physics - Theory · Physics 2018-12-26 Tim Adamo , David Skinner , Jack Williams

We present the general flux tube integrand for MHV and non-MHV amplitudes, in planar N = 4 SYM theory, up to a group theoretical rational factor. We find that the MHV and non-MHV cases only differ by simple form factors which we derive.…

High Energy Physics - Theory · Physics 2016-07-26 Benjamin Basso , Joao Caetano , Lucia Cordova , Amit Sever , Pedro Vieira

We reformulate the twistor construction for hyper- and quaternion-K\"ahler manifolds, introducing new sigma models that compute scalar potentials for the geometry. These sigma models have the twistor space of the quaternionic manifold as…

High Energy Physics - Theory · Physics 2024-06-14 Tim Adamo , Lionel Mason , Atul Sharma

At tree-level, gravity amplitudes are obtainable directly from gauge theory amplitudes via the Kawai, Lewellen and Tye closed-open string relations. We explain how the unitarity method allows us to use these relations to obtain coefficients…

High Energy Physics - Theory · Physics 2009-11-11 Zvi Bern , N. E. J. Bjerrum-Bohr , David C. Dunbar
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