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Related papers: Scattering Amplitudes/Wilson Loop Duality In ABJM …

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We study the correspondence between scattering amplitudes and Wilson loops in three-dimensional Chern-Simons matter theories. In particular, using N=2 superspace formalism, we compute at one loop the whole spectrum of four-point…

High Energy Physics - Theory · Physics 2015-05-30 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

We revisit the computation of the two-loop light-like tetragonal Wilson loop for three dimensional pure Chern-Simons and N=6 Chern-Simons-matter theory, within dimensional regularization with dimensional reduction scheme. Our examination…

High Energy Physics - Theory · Physics 2015-06-15 Marco S. Bianchi , Gaston Giribet , Matias Leoni , Silvia Penati

In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional $\mathcal{N}=6$ Chern-Simons matter theory. We use eight-point case as our main example, but the method generalizes to all multiplicities. The…

High Energy Physics - Theory · Physics 2023-02-09 Song He , Yu-tin Huang , Chia-Kai Kuo , Zhenjie Li

In this paper we study the one- and two-loop corrections to the four-point amplitude of N=6 Chern-Simons matter theory. Using generalized unitarity methods we express the one- and two-loop amplitudes in terms of dual-conformal integrals.…

High Energy Physics - Theory · Physics 2015-05-28 Wei-Ming Chen , Yu-tin Huang

In previous investigations, it was found that four-sided polygonal light-like Wilson loops in ABJM theory calculated to two-loop order have the same form as the corresponding Wilson loop in N = 4 SYM at one-loop order. Here we study…

High Energy Physics - Theory · Physics 2013-05-29 Konstantin Wiegandt

We study light-like polygonal Wilson loops in three-dimensional Chern-Simons and ABJM theory to two-loop order. For both theories we demonstrate that the one-loop contribution to these correlators cancels. For pure Chern-Simons, we find…

High Energy Physics - Theory · Physics 2015-03-13 Johannes M. Henn , Jan Plefka , Konstantin Wiegandt

Scattering amplitudes in three-dimensional N=6 Chern-Simons theory are shown to be non-invariant with respect to the free representation of the osp(6|4) symmetry generators. At tree and one-loop level these "anomalous" terms occur only for…

High Energy Physics - Theory · Physics 2012-11-06 Till Bargheer , Niklas Beisert , Florian Loebbert , Tristan McLoughlin

The MHV scattering amplitudes in planar N=4 SYM are dual to bosonic light-like Wilson loops. We explore various proposals for extending this duality to generic non-MHV amplitudes. The corresponding dual object should have the same…

High Energy Physics - Theory · Physics 2015-05-27 A. V. Belitsky , G. P. Korchemsky , E. Sokatchev

We compute the four-point amplitude with external adjoint particles in $\mathcal{N}=2$ SCQCD at two loops using $\mathcal{N}=1$ superspace Feynman diagrams, extending the results of arXiv:1406.7283. We consider the diagrammatic difference…

High Energy Physics - Theory · Physics 2015-06-15 Marta Leoni , Andrea Mauri , Alberto Santambrogio

There is growing evidence that on-shell gluon scattering amplitudes in planar N=4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments defined by the momenta of the external gluons.…

High Energy Physics - Theory · Physics 2010-03-26 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We compute four-point scattering amplitudes in $\mathcal{N}=2$ SCQCD with general external matter configurations using $\mathcal{N}=1$ superspace Feynman diagrams, at one loop in the general case and up to two loops in the fundamental…

High Energy Physics - Theory · Physics 2015-01-22 Marta Leoni , Andrea Mauri , Alberto Santambrogio

As a test of the gluon scattering amplitude/Wilson loop duality, we evaluate the hexagonal light-like Wilson loop at two loops in N=4 super Yang-Mills theory. We compare its finite part to the Bern-Dixon-Smirnov (BDS) conjecture for the…

High Energy Physics - Theory · Physics 2008-11-26 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

Dual conformal symmetry and Yangian symmetry are symmetries of amplitudes that have aided the study of scattering amplitudes in highly supersymmetric theories like ${\cal N}=4$ SYM and ABJM. However, in general such symmetries are absent…

High Energy Physics - Theory · Physics 2019-06-19 Karthik Inbasekar , Sachin Jain , Sucheta Majumdar , Pranjal Nayak , Turmoli Neogi , Tarun Sharma , Ritam Sinha , V Umesh

We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR…

High Energy Physics - Theory · Physics 2013-10-03 Marco S. Bianchi , Marta Leoni , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

We summarise the status of an intriguing new duality between planar maximally helicity violating scattering amplitudes and light-like Wilson loops in N=4 super Yang-Mills. In particular, we focus on the role played by (dual) conformal…

High Energy Physics - Theory · Physics 2022-10-05 Johannes Henn

One of the many remarkable features of MHV scattering amplitudes is their conjectured equality to lightlike polygon Wilson loops, which apparently holds at all orders in perturbation theory as well as non-perturbatively. This duality is…

Using the duality between color and kinematics, we construct two-loop four-point scattering amplitudes in $\mathcal{N}=2$ super-Yang-Mills (SYM) theory coupled to $N_f$ fundamental hypermultiplets. Our results are valid in $D\le 6$…

High Energy Physics - Theory · Physics 2017-09-20 Henrik Johansson , Gregor Kälin , Gustav Mogull

In this paper we present the first analytic computation of the six-point two-loop amplitude of ABJM theory. We show that the two-loop amplitude consist of corrections proportional to two distinct local Yangian invariants which can be…

High Energy Physics - Theory · Physics 2012-10-17 Yu-tin Huang , S. Caron-Huot

We compute the four-point amplitude in 3d N=8 SYM at two loops, by solving the three dimensional scalar doublebox in dimensional regularization. We compare it to the same result in the ABJM theory, to which maximal SYM should flow in the…

High Energy Physics - Theory · Physics 2015-06-11 Marco S. Bianchi , Matias Leoni

We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin,…

High Energy Physics - Theory · Physics 2009-04-17 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev
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