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相关论文: Three-leg form factor on Coulomb branch

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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

In this paper we provide a detailed account of our calculation, briefly reported in arXiv:2209.09263, of a two-particle form factor of the lowest components of the stress-tensor multiplet in N=4 sYM theory on its Coulomb branch, which is…

高能物理 - 理论 · 物理学 2023-06-30 A. V. Belitsky , L. V. Bork , V. A. Smirnov

We present a three-loop analysis of the scattering amplitude of five nearly massless W-bosons in planar maximally supersymmetric Yang-Mills theory. The basis of the master integrals is established, making use of the unitarity-cut sewing…

高能物理 - 理论 · 物理学 2026-05-19 Andrei V. Belitsky , Leonid V. Bork , Roman N. Lee , Vladimir A. Smirnov

We study a five-leg scattering amplitude on the special Coulomb branch of planar N=4 super Yang-Mills theory. We reach this point of the moduli space of scalar vacuum expectation values by considering six-dimensional N=(1,1) super…

高能物理 - 理论 · 物理学 2025-10-21 A. V. Belitsky , L. V. Bork , R. N. Lee , A. I. Onishchenko , V. A. Smirnov

We study the Sudakov form factor on the Coulomb branch of N=4 sYM, which endows only external states with masses, and implies that the former is off-shell in the traditional sense. Our consideration is performed at three-loop order in the…

高能物理 - 理论 · 物理学 2025-05-29 A. V. Belitsky , V. A. Smirnov

In this paper, we discuss the factorization of the Sudakov form factor on the Coulomb branch of maximally supersymmetric Yang-Mills theory in the near mass-shell limit. We unravel all pinch singularities of this observable making use of the…

高能物理 - 理论 · 物理学 2024-09-11 A. V. Belitsky , L. V. Bork , V. A. Smirnov

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 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 report on progress toward computing a four-loop supersymmetric form factor in maximally supersymmetric Yang-Mills theory. A representative example particle content from the involved supermultiplets is a stress-tensor operator with two…

高能物理 - 理论 · 物理学 2016-07-04 Rutger H. Boels , Bernd A. Kniehl , Gang Yang

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

In this paper we study the form factors for the half-BPS operators $\mathcal{O}^{(n)}_I$ and the $\mathcal{N}=4$ stress tensor supermultiplet current $W^{AB}$ up to the second order of perturbation theory and for the Konishi operator…

高能物理 - 理论 · 物理学 2011-03-18 L. V. Bork , D. I. Kazakov , G. S. Vartanov

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 study the Sudakov form factor and the four-point scattering amplitude on the Coulomb branch of planar $\mathcal{N}=4$ SYM as functions of the Coulomb-branch parameters and kinematic invariants. This setup provides a controlled probe of…

高能物理 - 理论 · 物理学 2026-05-18 Luis F. Alday , Elisabetta Armanini , Andrei V. Belitsky , Kelian Häring , Alexander Zhiboedov

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 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

Coulomb branch amplitudes of maximally supersymmetric Yang-Mills theory display infrared properties different from their conformal counterparts. While the four-leg amplitude is known to very high perturbative orders, amplitudes of higher…

高能物理 - 理论 · 物理学 2025-08-21 A. V. Belitsky , V. A. Smirnov

We construct the planar integrand of the six-leg amplitude of massive W-bosons on the special Coulomb branch of the maximally supersymmetric Yang-Mills theory to two-loop order. We use the six-dimensional supersymmetric spinor-helicity…

高能物理 - 理论 · 物理学 2025-12-08 A. V. Belitsky

Form factors are important ingredients to investigate the principle of maximal transcendentality (PMT) and to extract anomalous dimensions of local gauge invariant operators. In this article, we compute several two- and three-point FFs to…

高能物理 - 理论 · 物理学 2019-11-13 Taushif Ahmed , Pulak Banerjee , Amlan Chakraborty , Prasanna K. Dhani , V. Ravindran

We study the three-point form factor of the length-three half-BPS operator ($\textrm{Tr}\,\phi^3$) in planar $\mathcal{N}=4$ Super-Yang-Mills theory, using analyticity and integrability methods. We find that the functions describing the…

高能物理 - 理论 · 物理学 2024-10-31 Benjamin Basso , Lance J. Dixon , Alexander G. Tumanov

In the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the functional Schroedinger equation is solved variationally resulting in a set of coupled Dyson-Schwinger equations. These equations are solved self-consistently in the…

高能物理 - 理论 · 物理学 2008-11-26 D. Epple , H. Reinhardt , W. Schleifenbaum , A. P. Szczepaniak
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