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We compute the two-loop four-point MHV form factor of the stress-tensor supermultiplet in planar ${\cal N}=4$ super Yang-Mills (SYM). This form factor is analogous to the Higgs plus four-gluon amplitudes in the heavy-top limit of QCD when…

高能物理 - 理论 · 物理学 2025-03-11 Yuanhong Guo , Lei Wang , Gang Yang , YiXiong Yin

We derive a compact expression for the three-point MHV form factors of half-BPS operators in N=4 super Yang-Mills at two loops. The main tools of our calculation are generalised unitarity applied at the form factor level, and the compact…

高能物理 - 理论 · 物理学 2015-06-03 Andreas Brandhuber , Gabriele Travaglini , Gang Yang

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

We propose an operator product expansion for planar form factors of local operators in $\mathcal{N}=4$ SYM theory. This expansion is based on the dual conformal symmetry of these objects or, equivalently, the conformal symmetry of their…

高能物理 - 理论 · 物理学 2021-06-22 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

Recently, the maximally-helicity-violating four-point form factor for the chiral stress-energy tensor in planar $\mathcal{N}=4$ super Yang-Mills was computed to three loops at the level of the symbol associated with multiple polylogarithms.…

高能物理 - 理论 · 物理学 2026-01-23 Lance J. Dixon , Shuo Xin

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 compute the two-loop four-point form factor of a length-3 half-BPS operator in planar N=4 SYM, which belongs to the class of two-loop five-point scattering observables with one off-shell color-singlet leg. A new bootstrapping strategy is…

高能物理 - 理论 · 物理学 2021-10-13 Yuanhong Guo , Lei Wang , Gang Yang

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…

高能物理 - 理论 · 物理学 2024-12-03 Guanda Lin , Gang Yang , Siyuan Zhang

We bootstrap the three-point form factor of the chiral part of the stress-tensor supermultiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory, obtaining new results at three, four, and five loops. Our construction employs known…

高能物理 - 理论 · 物理学 2022-08-24 Lance J. Dixon , Andrew J. McLeod , Matthias Wilhelm

We present the detailed computation of full-color three-loop three-point form factors of both the stress-tensor supermultiplet and a length-three BPS operator in N=4 SYM. The integrands are constructed based on the color-kinematics (CK)…

高能物理 - 理论 · 物理学 2022-03-30 Guanda Lin , Gang Yang , Siyuan Zhang

Form factors in planar N=4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in arXiv:2009.11297. This expansion is based on a decomposition of the dual periodic Wilson loop…

高能物理 - 理论 · 物理学 2022-08-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

We propose a dual Wilson loop description for the MHV super form factors of half-BPS operators in planar $\mathcal{N}=4$ super-Yang-Mills theory. In this description, the local operators are represented by on-shell states, made out of…

高能物理 - 理论 · 物理学 2024-05-24 Benjamin Basso , Alexander G. Tumanov

We derive the four-dimensional integrand of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory at two loops. In our integrand…

高能物理 - 理论 · 物理学 2023-06-26 Tushar Gopalka , Enrico Herrmann

A recent, integrability-based conjecture in the framework of the Wilson loop OPE for N=4 SYM theory, predicts the leading OPE contribution for the hexagon MHV remainder function and NMHV ratio function to all loops, in integral form. We…

高能物理 - 理论 · 物理学 2014-02-18 Georgios Papathanasiou

We consider a double OPE limit of the planar four-point function of stress tensor multiplets in N = 4 SYM theory. Loop integrands for this correlator have been constructed to very high order, but the corresponding integrals are explicitly…

高能物理 - 理论 · 物理学 2016-08-16 Burkhard Eden , Felix Paul

Form factors of the stress-tensor multiplet operator in $\mathcal{N}=4$ supersymmetric Yang-Mills reveal surprisingly simple structures similar to those appearing in scattering amplitudes. In this paper we show that, as for the case of…

高能物理 - 理论 · 物理学 2019-11-13 Lorenzo Bianchi , Andreas Brandhuber , Rodolfo Panerai , Gabriele Travaglini

We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in planar N=4 super Yang-Mills theory. We apply constraints from the operator product expansion in the near-collinear limit to the symbol of the remainder function at…

高能物理 - 理论 · 物理学 2015-05-30 Lance J. Dixon , James M. Drummond , Johannes M. Henn

We compute the n-point two-loop form factors of the half-BPS operators Tr(phi_{AB}^n) in N=4 super Yang-Mills for arbitrary n >2 using generalised unitarity and symbols. These form factors are minimal in the sense that the n^{th} power of…

高能物理 - 理论 · 物理学 2015-06-19 Andreas Brandhuber , Brenda Penante , Gabriele Travaglini , Congkao Wen

We discuss how to compute maximal-helicity-violating (MHV) form factors for the chiral part of the stress-tensor supermultiplet from periodic light-like polygon Wilson loops in planar $\mathcal N=4$ super Yang-Mills theory beyond the…

高能物理 - 理论 · 物理学 2025-01-20 Zhenjie Li
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