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The four-loop, two-point form factor contains the first non-planar correction to the lightlike cusp anomalous dimension. This anomalous dimension is a universal function which appears in many applications. Its planar part in N = 4 SYM is…

高能物理 - 理论 · 物理学 2016-01-19 Rutger Boels , Bernd A. Kniehl , Gang Yang

We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N=4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that…

高能物理 - 理论 · 物理学 2010-02-03 Kazumi Okuyama , Li-Sheng Tseng

We consider the planar MHV amplitude in N=4 supersymmetric Yang-Mills theory for 2 -> 4 particle scattering at two and three loops in the Regge kinematics. We perform an analytic continuation of two-loop result for the remainder function…

高能物理 - 理论 · 物理学 2011-06-13 L. N. Lipatov , A. Prygarin

We bootstrap the two-loop four-point next-to-maximally helicity-violating (NMHV) ratio function for the chiral stress-tensor form factor in planar maximally supersymmetric Yang-Mills theory (sYM) at the symbol level. Starting from an ansatz…

高能物理 - 理论 · 物理学 2026-05-29 Song He , Jiahao Liu , Qinglin Yang

The light-like cusp anomalous dimension is a universal function in the analysis of infrared divergences. In maximally ($\mathcal{N}=4$) supersymmetric Yang-Mills theory (SYM) in the planar limit, it is known, in principle, to all loop…

高能物理 - 理论 · 物理学 2015-12-08 Rutger Boels , Bernd A. Kniehl , Gang Yang

We review the results for the Sudakov form factor in N=4 super Yang-Mills theory up to the three-loop level. At each loop order, the form factor is expressed as a linear combination of only a handful scalar integrals, with small integer…

高能物理 - 理论 · 物理学 2012-10-05 Tobias Huber

The dilatation operator of planar N=4 super Yang-Mills in the pure scalar SO(6) sector is derived at the two-loop order. Representation theory allows for eight free coefficients in an ansatz for the corresponding spin-chain hamiltonian…

高能物理 - 理论 · 物理学 2015-05-28 George Georgiou , Valeria Gili , Jan Plefka

By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the…

高能物理 - 理论 · 物理学 2009-11-19 V. Del Duca , E. W. N. Glover

We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the…

高能物理 - 理论 · 物理学 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa

Higgs plus multi-gluon amplitudes in QCD can be computed in an effective Lagrangian description. In the infinite top-mass limit, an amplitude with a Higgs and $n$ gluons is computed by the form factor of the operator ${\rm Tr}\, F^2$. Up to…

高能物理 - 理论 · 物理学 2017-10-25 Andreas Brandhuber , Martyna Kostacinska , Brenda Penante , Gabriele Travaglini

We obtain all planar four-point correlators of half-BPS operators in $\mathcal{N}=4$ SYM up to five loops. The ansatz for the integrand is fixed partially by imposing light-cone OPE relations between different correlators. We then fix the…

高能物理 - 理论 · 物理学 2020-11-24 Dmitry Chicherin , Alessandro Georgoudis , Vasco Goncalves , Raul Pereira

We study off-shell n-particle form factors of half-BPS operators built from n complex scalar fields at the two-loop order in the planar maximally supersymmetric Yang-Mills theory (sYM). These are known as minimal form factors. We construct…

高能物理 - 理论 · 物理学 2024-11-27 A. V. Belitsky , L. V. Bork

The form-factor bootstrap approach is applied to the perturbed minimal models $M_{2,2n+3}$ in the direction of the primary field $\phi_{1,3}$. These theories are integrable and contain $n$ massive scalar particles, whose $S$--matrix is…

高能物理 - 理论 · 物理学 2009-10-28 A. Koubek

We present the full form of a four-point correlation function of large BPS operators in planar N = 4 Super Yang-Mills to any loop order. We do this by following a bootstrap philosophy based on three simple axioms pertaining to (i) the space…

高能物理 - 理论 · 物理学 2020-05-06 Frank Coronado

We study the electromagnetic on-shell form factor of quarks in massless perturbative QCD. We derive the complete pole part in dimensional regularization at three loops, and extend the resummation of the form factor to the…

高能物理 - 唯象学 · 物理学 2009-11-11 S. Moch , J. A. M. Vermaseren , A. Vogt

We study the form factor of the lowest component of the stress-tensor multiplet away from the origin of the moduli space in the spontaneously broken, aka Coulomb, phase of the maximally supersymmetric Yang-Mills theory for decay into three…

高能物理 - 理论 · 物理学 2024-02-29 A. V. Belitsky , L. V. Bork , J. M. Grumski-Flores , V. A. Smirnov

We classify the 3-point functions of local gauge-invariant single-trace operators in the scalar sector of planar N=4 supersymmetric Yang-Mills involving at least one su(3) operator. In the case of two su(3) and one su(2) operators, the…

高能物理 - 理论 · 物理学 2013-11-08 Omar Foda , Yunfeng Jiang , Ivan Kostov , Didina Serban

We consider structure constants of single trace operators in planar $\mathcal{N}$ = 4 Super-Yang-Mills theory within the hexagon framework. The standard procedure for forming a three point function out of two hexagons develops divergences…

高能物理 - 理论 · 物理学 2017-08-23 Benjamin Basso , Vasco Goncalves , Shota Komatsu

We obtain full-color three-loop three-point form factors of the stress-tensor supermultiplet and also of a length-3 half-BPS operator in N=4 SYM based on the color-kinematics duality and on-shell unitarity. The integrand results are…

高能物理 - 理论 · 物理学 2021-11-08 Guanda Lin , Gang Yang , Siyuan Zhang

We study two-point functions of single-trace half-BPS operators in the presence of a supersymmetric Wilson line in $\mathcal{N}=4$ SYM. We use inversion formula technology in order to reconstruct the CFT data starting from a single…

高能物理 - 理论 · 物理学 2022-09-30 Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo