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Related papers: On form factors in N=4 sym

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Soft theorems for the form factors of 1/2-BPS and Konishi operator supermultiplets are derived at tree level in N=4 SYM theory. They have a form identical to the one in the amplitude case. For MHV sectors of stress tensor and Konishi…

High Energy Physics - Theory · Physics 2016-01-27 L. V. Bork , A. I. Onishchenko

We study the form factors of the Konishi operator, the prime example of non-protected operators in N=4 SYM theory, via the on-shell unitarity methods. Since the Konishi operator is not protected by supersymmetry, its form factors share many…

High Energy Physics - Theory · Physics 2017-03-01 Dhritiman Nandan , Christoph Sieg , Matthias Wilhelm , Gang Yang

In this paper we discuss different recursion relations (BCFW and all-line shift) for the form factors of the operators from the $\mathcal{N}=4$ SYM stress-tensor current supermultiplet $T^{AB}$ in momentum twistor space. We show that…

High Energy Physics - Theory · Physics 2016-09-28 L. V. Bork

We present three point form factors (FF) in ${\cal N}=4$ Super Yang Mills theory for both the half-BPS and the Konishi operators at two loop level in the `t Hooft coupling using Feynman diagrammatic approach. We have chosen on shell final…

High Energy Physics - Theory · Physics 2017-08-31 Pulak Banerjee , Prasanna K. Dhani , Maguni Mahakhud , V. Ravindran , Satyajit Seth

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…

High Energy Physics - Theory · Physics 2015-06-19 Andreas Brandhuber , Brenda Penante , Gabriele Travaglini , Congkao Wen

We compute form factors of half-BPS operators in N=4 super Yang-Mills dual to massive Kaluza-Klein modes in supergravity. These are appropriate supersymmetrisations T_k of the scalar operators Tr(\phi^k) for any k, which for k=2 give the…

High Energy Physics - Theory · Physics 2015-06-18 Brenda Penante , Bill Spence , Gabriele Travaglini , Congkao Wen

Form factors are quantities that involve both asymptotic on-shell states and gauge invariant operators. They provide a natural bridge between on-shell amplitudes and off-shell correlation functions of operators, thus allowing us to use…

High Energy Physics - Theory · Physics 2020-01-13 Gang Yang

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…

High Energy Physics - Theory · Physics 2016-01-19 Rutger Boels , Bernd A. Kniehl , Gang Yang

We study event shapes in N=4 SYM describing the angular distribution of energy and R-charge in the final states created by the simplest half-BPS scalar operator. Applying the approach developed in the companion paper arXiv:1309.0769, we…

High Energy Physics - Theory · Physics 2015-06-17 A. V. Belitsky , S. Hohenegger , G. P. Korchemsky , E. Sokatchev , A. Zhiboedov

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…

High Energy Physics - Theory · Physics 2024-11-27 A. V. Belitsky , L. V. Bork

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…

High Energy Physics - Theory · Physics 2019-11-13 Taushif Ahmed , Pulak Banerjee , Amlan Chakraborty , Prasanna K. Dhani , V. Ravindran

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…

High Energy Physics - Theory · Physics 2021-10-13 Yuanhong Guo , Lei Wang , Gang Yang

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…

High Energy Physics - Theory · Physics 2011-11-01 Andreas Brandhuber , Omer Gurdogan , Robert Mooney , Gabriele Travaglini , Gang Yang

We compute two-loop form factors of operators in the $SU(2|3)$ closed subsector of $N=4$ supersymmetric Yang-Mills. In particular, we focus on the non-protected, dimension-three operators $\mathrm{Tr} (X[Y,Z])$ and $\mathrm{Tr} ( \psi…

High Energy Physics - Theory · Physics 2018-12-27 Andreas Brandhuber , Martyna Kostacinska , Brenda Penante , Gabriele Travaglini , Donovan Young

We study the infrared (IR) structure of $SU(N) \times U(1)$ (QCD $\times$ QED) gauge theory with $n_f$ quarks and $n_l$ leptons within the framework of perturbation theory. In particular, we unravel the IR structure of the form factors and…

High Energy Physics - Phenomenology · Physics 2024-05-17 A. H. Ajjath , Pooja Mukherjee , V. Ravindran

We calculate form factors of half-BPS operators in N=4 super Yang-Mills theory at tree level and one loop using novel applications of recursion relations and unitarity. In particular, we determine the expression of the one-loop form factors…

High Energy Physics - Theory · Physics 2011-02-03 Andreas Brandhuber , Bill Spence , Gabriele Travaglini , Gang Yang

We present the first results on the third order corrections to on-shell form factor (FF) of the Konishi operator in ${\cal N}=4$ supersymmetric Yang-Mills theory using Feynman diagrammatic approach in modified dimensional reduction…

High Energy Physics - Theory · Physics 2017-05-03 Taushif Ahmed , Pulak Banerjee , Prasanna K. Dhani , Narayan Rana , V. Ravindran , Satyajit Seth

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…

High Energy Physics - Theory · Physics 2023-06-30 A. V. Belitsky , L. V. Bork , V. A. Smirnov

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…

High Energy Physics - Theory · Physics 2019-11-13 Lorenzo Bianchi , Andreas Brandhuber , Rodolfo Panerai , Gabriele Travaglini

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…

High Energy Physics - Theory · Physics 2024-10-31 Benjamin Basso , Lance J. Dixon , Alexander G. Tumanov
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