English
Related papers

Related papers: Two-loop cusp anomaly in ABJM at strong coupling

200 papers

We study the first sub-leading correction $O((\ln s)^0)$ to the cusp anomalous dimension in the high spin expansion of finite twist operators in ${\cal N}=4$ SYM theory. Since this approximation is still governed by a linear integral…

High Energy Physics - Theory · Physics 2010-10-27 Davide Fioravanti , Paolo Grinza , Marco Rossi

A closed formula is obtained for the infrared singularities of dimensionally regularized, massless gauge-theory scattering amplitudes with an arbitrary number of legs and loops. It follows from an all-order conjecture for the…

High Energy Physics - Phenomenology · Physics 2013-10-23 Thomas Becher , Matthias Neubert

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 the three-loop calculation of the Bremsstrahlung function associated to the 1/2-BPS cusp in ABJM theory, including color subleading corrections. Using the BPS condition we reduce the computation to that of a cusp with vanishing…

High Energy Physics - Theory · Physics 2017-09-13 Marco S. Bianchi , Luca Griguolo , Andrea Mauri , Silvia Penati , Michelangelo Preti , Domenico Seminara

We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the heavy-quark field in HQET. The validity of the calculational…

High Energy Physics - Phenomenology · Physics 2022-11-18 Andrey G. Grozin , Roman N. Lee , Andrey F. Pikelner

As was shown earlier, one-loop correction in 10d supergravity on AdS_5 x S^5 corresponds to the contributions to the vacuum energy and boundary 4d conformal anomaly which are minus the values for one n=4 Maxwell supermultiplet, thus…

High Energy Physics - Theory · Physics 2015-06-29 Matteo Beccaria , Guido Macorini , Arkady A. Tseytlin

We calculate the all-loop anomalous dimensions of current operators in $\lambda$-deformed $\sigma$-models. For the isotropic integrable deformation and for a semi-simple group $G$ we compute the anomalous dimensions using two different…

High Energy Physics - Theory · Physics 2016-04-29 George Georgiou , Konstantinos Sfetsos , Konstantinos Siampos

The angle-dependent cusp anomalous dimension governs divergences coming from soft gluon exchanges between heavy particles, such as top quarks. We focus on the matter-dependent contributions and compute the first truly non-planar terms. They…

High Energy Physics - Theory · Physics 2021-01-20 Robin Brüser , Christoph Dlapa , Johannes M. Henn , Kai Yan

We compute the fermionic contributions to the cusp anomalous dimension in QCD at four loops as an expansion for small cusp angle. As a byproduct we also obtain the respective terms of the four-loop HQET wave function anomalous dimension.…

High Energy Physics - Phenomenology · Physics 2019-06-26 Robin Brüser , Andrey Grozin , Johannes M. Henn , Maximilian Stahlhofen

We compute the anomalous two-loop four-point amplitudes in N=4 pure supergravity, using unitarity and the double-copy construction. We also present all terms determined by four-dimensional cuts in two all-multiplicity two-loop anomalous…

High Energy Physics - Theory · Physics 2020-04-07 Zvi Bern , David Kosower , Julio Parra-Martinez

We calculate the anomalous dimension of the cusped Wilson loop in ${\cal N}=4$ supersymmetric Yang-Mills theory to order $\lambda^2$ ($\lambda=g^2_{YM}N$). We show that the cancellation between the diagrams with the three-point vertex and…

High Energy Physics - Theory · Physics 2008-11-26 Yuri Makeenko , Poul Olesen , Gordon W. Semenoff

We study, in the context of the three-dimensional ${\cal N}=6$ Chern-Simons-matter (ABJM) theory, the infrared-finite functions that result from performing $L-1$ loop integrations over the $L$-loop integrand of the logarithm of the…

High Energy Physics - Theory · Physics 2024-02-28 Johannes M. Henn , Martín Lagares , Shun-Qing Zhang

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

I present a general method for determining the massive cusp anomalous dimension in QCD to a very high degree of accuracy using its asymptotic behavior at small and large quark velocities. I show that the method works exceedingly well at two…

High Energy Physics - Phenomenology · Physics 2023-03-15 Nikolaos Kidonakis

We present an analytic derivation of the full four-loop cusp anomalous dimension of $\mathcal{N}=4$ supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the $\epsilon^{-2}$…

High Energy Physics - Theory · Physics 2020-06-10 Tobias Huber , Andreas von Manteuffel , Erik Panzer , Robert M. Schabinger , Gang Yang

We consider the AdS_5 x S^5 superstring in the light-cone gauge adapted to a massless geodesic in AdS5 in the Poincare patch. The resulting action has a relatively simple structure which makes it a natural starting point for various…

High Energy Physics - Theory · Physics 2014-11-20 S. Giombi , R. Ricci , R. Roiban , A. A. Tseytlin , C. Vergu

We compute analytically the two-loop contribution to the correlation function of the Lagrangian with a four-sided light-like (or null) Wilson loop in N=4 super Yang-Mills. As a non-trivial test of our result, we reproduce the three-loop…

High Energy Physics - Theory · Physics 2013-10-17 Luis F. Alday , Johannes M. Henn , Jakub Sikorowski

For N=6 superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is…

High Energy Physics - Theory · Physics 2015-05-28 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

We derive the one-loop correction to the space-time energy of a folded string in AdS_4 x CP^3 carrying spin S in AdS_4 and angular momentum J in CP^3 in the long string approximation. From this general result in the limit J << log S we…

High Energy Physics - Theory · Physics 2011-03-02 Luis F. Alday , Gleb Arutyunov , Dmitri Bykov

We analyze the strong coupling behavior of the large N gauge theories in 4-dimensions with N=4 supersymmetry by making use of S-duality. We show that at large values of the coupling constant $\lambda=g_{YM}^2N$ the j-th non-planar amplitude…

High Energy Physics - Theory · Physics 2007-05-23 Tohru Eguchi