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Related papers: Cusped SYM Wilson loop at two loops and beyond

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We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are obtained by extracting the most complicated contributions from the three loop…

High Energy Physics - Theory · Physics 2016-09-06 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

We present the complete formula for the cusp anomalous dimension at four loops in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given by \begin{equation} {\Gamma}^{\rm}_{\rm cusp}\Big|_{\alpha_s^4} = -\left(…

High Energy Physics - Theory · Physics 2019-11-25 Johannes M. Henn , Gregory P. Korchemsky , Bernhard Mistlberger

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

High Energy Physics - Theory · Physics 2008-11-26 B. Basso , G. P. Korchemsky

We study the velocity-dependent cusp anomalous dimension in supersymmetric Yang-Mills theory. In a paper by Correa, Maldacena, Sever, and one of the present authors, a scaling limit was identified in which the ladder diagrams are dominant…

High Energy Physics - Theory · Physics 2015-06-05 J. M. Henn , T. Huber

Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

High Energy Physics - Theory · Physics 2015-06-15 Johannes M. Henn , Tobias Huber

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory. These expressions are obtained by extracting the most complicated contributions from the three-loop…

High Energy Physics - Theory · Physics 2007-05-23 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two…

High Energy Physics - Theory · Physics 2024-03-08 B. A. Kniehl , V. N. Velizhanin

We present the details of the analytic calculation of the three-loop angle-dependent cusp anomalous dimension in QCD and its supersymmetric extensions, including the maximally supersymmetric $\mathcal{N}=4$ super Yang-Mills theory. The…

High Energy Physics - Phenomenology · Physics 2016-02-17 Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard

An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation…

High Energy Physics - Theory · Physics 2008-11-26 M. Kruczenski , R. Roiban , A. Tirziu , A. A. Tseytlin

We present the results of two-loop calculations of the anomalous dimension matrix for the Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory for polarized and unpolarized cases. This matrix can be transformed to a triangle…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kotikov , L. N. Lipatov , V. N. Velizhanin

We analyze the cusp anomalous dimension in the (leading) ladder limit of $\mathcal N=4$ SYM and present new results for its higher-order perturbative expansion. We study two different limits with respect to the cusp angle $\phi$. The first…

High Energy Physics - Theory · Physics 2016-06-29 Matteo Beccaria , Alberto Fachechi , Guido Macorini

We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the…

High Energy Physics - Theory · Physics 2021-02-17 B. A. Kniehl , V. N. Velizhanin

We derive an analytic formula at three loops for the cusp anomalous dimension Gamma_cusp(phi) in N=4 super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the…

High Energy Physics - Theory · Physics 2015-06-04 Diego Correa , Johannes Henn , Juan Maldacena , Amit Sever

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an…

High Energy Physics - Theory · Physics 2009-10-31 J. K. Erickson , G. W. Semenoff , K. Zarembo

We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin j=20, one unit beyond the state of the…

High Energy Physics - Theory · Physics 2025-03-26 B. A. Kniehl , V. N. Velizhanin

We study the cusp anomalous dimension in N=6 ABJ(M) theory, identifying a scaling limit in which the ladder diagrams dominate. The resummation is encoded into a Bethe-Salpeter equation that is mapped to a Schroedinger problem, exactly…

High Energy Physics - Theory · Physics 2016-06-29 Marisa Bonini , Luca Griguolo , Michelangelo Preti , Domenico Seminara

We analyse a light-like cusped Wilson loop in N=6 superconformal Chern-Simons theory at both weak and strong coupling in light-cone gauge. At the second order in the 't Hooft coupling $\lambda$ the correct cusp anomalous dimension…

High Energy Physics - Theory · Physics 2012-11-21 Daniele Marmiroli

We construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar N=4 super Yang-Mills theory and use it to determine the strong…

High Energy Physics - Theory · Physics 2011-01-28 B. Basso , G. P. Korchemsky , J. Kotanski

In this work we study the cusp anomalous dimension of the marginally deformed N=4 sYM theory. We find the expression of the cusp anomalous dimension both at the weak and strong coupling limits. On the gravity side we partially map the…

High Energy Physics - Theory · Physics 2013-12-03 George Georgiou , Dimitrios Giataganas

The light-like cusp anomalous dimension is a universal function that controls infrared divergences in quite general quantum field theories. In the maximally supersymmetric Yang-Mills theory this function is fixed fully by integrability to…

High Energy Physics - Theory · Physics 2018-12-17 Rutger H. Boels , Tobias Huber , Gang Yang
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