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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

We provide a simple analytic formula for the two-loop six-point ratio function of planar N = 4 super Yang-Mills theory. This result extends the analytic knowledge of multi-loop six-point amplitudes beyond those with maximal helicity…

High Energy Physics - Theory · Physics 2015-06-03 Lance J. Dixon , James M. Drummond , Johannes M. Henn

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

Form factors in planar $\mathcal{N}=4$ super-Yang-Mills theory have a dual description in terms of periodic Wilson loops. This duality maps the multi-collinear expansion of the former to an operator product expansion of the latter. The…

High Energy Physics - Theory · Physics 2022-03-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar N=4 supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards,…

We use momentum twistors to evaluate planar loop integrals. Infrared divergences are regulated by the recently proposed AdS-inspired mass regulator. We show that two-loop amplitudes in N=4 super Yang-Mills can be expanded in terms of basis…

High Energy Physics - Theory · Physics 2011-05-26 J. M. Drummond , J. M. Henn

It is a remarkable fact that MHV amplitudes in maximally supersymmetric Yang-Mills theory at arbitrary loop order can be written as the product of the tree amplitude with the same helicity configuration and a universal, helicity-blind…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Brandhuber , Paul Heslop , Gabriele Travaglini

We analyze the near-collinear limit of the null polygonal hexagon super Wilson loop in the planar N = 4 superYang-Mills theory. We focus on its Grassmann components which are dual to next-to-maximal helicity-violating (NMHV) scattering…

High Energy Physics - Theory · Physics 2017-09-06 A. V. Belitsky

Because of the infrared renormalons, it is difficult to get power accuracy in the traditional approach to the Wilson's operator product expansion. Based on a new perturbative renormalization scheme for power-divergent operators, I propose a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

Null Polygon Wilson Loops (WL) in N=4 SYM can be computed using the Operator Product Expansion in terms of a transition amplitude on top of a color flux tube (FT). That picture is valid at any value of the 't Hooft coupling. So far it has…

High Energy Physics - Theory · Physics 2015-06-11 Amit Sever , Pedro Vieira , Tianheng Wang

We introduce a prescription to define form factor integrands at loop level in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. This relies on a periodic kinematic configuration that has been instrumental to describe form factors at…

High Energy Physics - Theory · Physics 2019-03-27 Lorenzo Bianchi , Andreas Brandhuber , Rodolfo Panerai , Gabriele Travaglini

An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N=4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and…

High Energy Physics - Theory · Physics 2014-11-18 J. M. Henn

We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended…

High Energy Physics - Theory · Physics 2019-09-04 Simon Caron-Huot , Lance J. Dixon , Falko Dulat , Matt von Hippel , Andrew J. McLeod , Georgios Papathanasiou

Supersymmetric circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended…

High Energy Physics - Theory · Physics 2021-07-06 Wolfgang Mück

We compute the even part of the two-loop seven-point planar MHV amplitude in N=4 supersymmetric Yang-Mills theory. We find that the even part is expressed in terms of conformal integrals with simple rational coefficients. We also compute…

High Energy Physics - Theory · Physics 2009-06-30 C. Vergu

We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly…

High Energy Physics - Theory · Physics 2020-05-20 Francesco Aprile , James Drummond , Paul Heslop , Hynek Paul

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

High Energy Physics - Theory · Physics 2018-11-14 Kazumi Okuyama

We address the near-collinear expansion of NMHV six-particle scattering amplitudes at strong value of 't Hooft coupling in planar maximally supersymmetric Yang-Mills theory. We complement recent studies of this observable within the context…

High Energy Physics - Theory · Physics 2016-09-21 A. V. Belitsky

We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in planar N=4 super Yang-Mills theory. We apply constraints from the operator product expansion in the near-collinear limit to the symbol of the remainder function at…

High Energy Physics - Theory · Physics 2015-05-30 Lance J. Dixon , James M. Drummond , Johannes M. Henn

We study the $\frac{1}{2}$-BPS circular Wilson loop in the totally antisymmetric representation of the gauge group in $\mathcal N =4 $ supersymmetric Yang-Mills. This observable is captured by a Gaussian matrix model with appropriate…

High Energy Physics - Theory · Physics 2018-03-14 James Gordon