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相关论文: Bootstrapping the Four-Point NMHV Stress-Tensor Fo…

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We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion.…

高能物理 - 理论 · 物理学 2023-03-21 Lance J. Dixon , Omer Gurdogan , Andrew J. McLeod , Matthias Wilhelm

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 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

We study the symbol and the alphabet for two-loop NMHV amplitudes in planar ${\cal N}=4$ super-Yang-Mills from the $\bar{Q}$ equations, which provide a first-principle method for computing multi-loop amplitudes. Starting from one-loop…

高能物理 - 理论 · 物理学 2021-04-14 Song He , Zhenjie Li , Chi Zhang

We derive analytic results for the symbol of certain two-loop Feynman integrals relevant for seven- and eight-point two-loop scattering amplitudes in planar $\mathcal{N}=4$ super-Yang--Mills theory. We use a bootstrap inspired strategy,…

高能物理 - 理论 · 物理学 2018-11-14 Johannes Henn , Enrico Herrmann , Julio Parra-Martinez

We bootstrap the symbol 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. When minimally normalized, this…

高能物理 - 理论 · 物理学 2024-12-03 Lance J. Dixon , Ömer Gürdoğan , Yu-Ting Liu , Andrew J. McLeod , Matthias Wilhelm

We study a scalar component of the 8-point next-to-next-to-maximally-helicity-violating (N${}^2$MHV) amplitude at two-loop level in ${\cal N}=4$ super-Yang-Mills theory; it has a leading singularity proportional to the inverse of the…

高能物理 - 理论 · 物理学 2023-01-18 Song He , Zhenjie Li , Chi Zhang

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

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

We extend the hexagon function bootstrap to the next-to-maximally-helicity-violating (NMHV) configuration for six-point scattering in planar ${\cal N}=4$ super-Yang-Mills theory at three loops. Constraints from the $\bar{Q}$ differential…

高能物理 - 理论 · 物理学 2014-11-13 Lance J. Dixon , Matt von Hippel

We obtain for the first time the analytic two-loop four-point MHV lightlike form factor of the stress-tensor supermultiplet in planar ${\cal N}=4$ SYM where the momentum $q$ carried by the operator is taken to be massless. Remarkably, we…

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

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

It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twistor (or cluster) variables starting at two loops for eight…

高能物理 - 理论 · 物理学 2022-08-24 Jacob L. Bourjaily , Andrew J. McLeod , Cristian Vergu , Matthias Volk , Matt von Hippel , Matthias Wilhelm

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…

高能物理 - 理论 · 物理学 2023-08-17 Lance J. Dixon , Yu-Ting Liu

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 use the hexagon function bootstrap to compute the ratio function which characterizes the next-to-maximally-helicity-violating (NMHV) six-point amplitude in planar $\mathcal{N} = 4$ super-Yang-Mills theory at four loops. A powerful…

高能物理 - 理论 · 物理学 2015-09-29 Lance J. Dixon , Matt von Hippel , Andrew J. McLeod

In this paper we continue our systematic study of form factors of half-BPS operators in N=4 super Yang-Mills. In particular, we extend various techniques known for amplitudes to the case of form factors, including MHV rules, recursion…

高能物理 - 理论 · 物理学 2011-11-01 Andreas Brandhuber , Omer Gurdogan , Robert Mooney , Gabriele Travaglini , Gang Yang

We revisit the symbol bootstrap program for the seven-particle MHV and NMHV amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills (SYM) based on the alphabet associated with the $E_6$ cluster algebra. After imposing integrability, cluster…

高能物理 - 理论 · 物理学 2025-11-24 Song He , Xuhang Jiang , Xiang Li , Jiahao Liu

Seven-particle scattering amplitudes in planar super-Yang-Mills theory are believed to belong to a special class of generalised polylogarithm functions called heptagon functions. These are functions with physical branch cuts whose symbols…

高能物理 - 理论 · 物理学 2015-11-11 James M. Drummond , Georgios Papathanasiou , Marcus Spradlin

The planar three-gluon form factor for the chiral stress tensor operator in planar maximally supersymmetric Yang-Mills theory is an analog of the Higgs-to-three-gluon scattering amplitude in QCD. The amplitude (symbol) bootstrap program has…

高能物理 - 理论 · 物理学 2025-04-17 Tianji Cai , François Charton , Kyle Cranmer , Lance J. Dixon , Garrett W. Merz , Matthias Wilhelm
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