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We study six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling by investigating the thermodynamic Bethe ansatz equations of the underlying Z_4-symmetric integrable model both analytically and numerically.…

高能物理 - 理论 · 物理学 2014-11-21 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

We present a new method for computing multi-loop scattering amplitudes in Quantum Field Theory. It extends the Generalized Unitarity method by constraining not only the integrand of the amplitude but also its full integrated form. Our…

高能物理 - 理论 · 物理学 2025-12-18 Piotr Bargiela

We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$…

高能物理 - 唯象学 · 物理学 2009-09-25 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

Infrared divergences in scattering amplitudes arise when a loop momentum $\ell$ becomes collinear with a massless external momentum $p$. In gauge theories, it is known that the L-loop logarithm of a planar amplitude has much softer infrared…

高能物理 - 理论 · 物理学 2015-06-03 Jacob L. Bourjaily , Alexander DiRe , Amin Shaikh , Marcus Spradlin , Anastasia Volovich

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

高能物理 - 理论 · 物理学 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus

We initiate the study of multiloop scattering amplitudes in the Nambu-Goto theory on the worldsheet of a non-critical string. We start with a brute force calculation of two loop four particle scattering. Somewhat surprisingly, even though…

高能物理 - 理论 · 物理学 2016-05-20 Peter Conkey , Sergei Dubovsky

We confirm by explicit computation the conjectured all-orders iteration of planar maximally supersymmetric N=4 Yang-Mills theory in the nontrivial case of five-point two-loop amplitudes. We compute the required unitarity cuts of the…

高能物理 - 理论 · 物理学 2008-11-26 Z. Bern , M. Czakon , D. A. Kosower , R. Roiban , V. A. Smirnov

We investigate $2 \to 3$ QCD scattering amplitudes in multi-Regge kinematics, i.e. where the final partons are strongly ordered in rapidity. In this regime amplitudes exhibit intriguing factorisation properties which can be understood in…

高能物理 - 唯象学 · 物理学 2025-04-11 Federico Buccioni , Fabrizio Caola , Federica Devoto , Giulio Gambuti

We analyse the high-energy limit of the gluon-gluon scattering amplitude in QCD, and display an intriguing relation between the finite parts of the one-loop gluon impact factor and the finite parts of the two-loop Regge trajectory.

高能物理 - 唯象学 · 物理学 2018-04-04 Vittorio Del Duca

As part of the Snowmass community planning exercise, we highlight an ongoing program of research into the structure of scattering amplitudes in N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors. This…

高能物理 - 理论 · 物理学 2022-07-22 Nima Arkani-Hamed , Lance J. Dixon , Andrew J. McLeod , Marcus Spradlin , Jaroslav Trnka , Anastasia Volovich

This thesis is focused on the development of new mathematical methods for computing multi-loop scattering amplitudes in gauge theories. In this work we combine, for the first time, the unitarity-based construction for integrands, and the…

高能物理 - 唯象学 · 物理学 2014-10-21 Ulrich Schubert

All four-point mixed gluon-graviton amplitudes in pure Einstein-Yang-Mills theory with at most one state of negative helicity are computed at one-loop order and maximal powers of the gauge coupling using D-dimensional generalized unitarity.…

高能物理 - 理论 · 物理学 2018-09-26 Dhritiman Nandan , Jan Plefka , Gabriele Travaglini

Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken…

高能物理 - 理论 · 物理学 2018-05-23 Robin Brüser , Simon Caron-Huot , Johannes M. Henn

Scattering amplitudes in the high-energy limit can be described in terms of their singularity structure in the complex angular momentum plane, consisting of Regge poles and cuts. In QCD, gluon Reggeization has long been understood as a…

高能物理 - 唯象学 · 物理学 2024-12-31 Samuel Abreu , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

We study the maximally-helicity-violating (MHV) six-gluon scattering amplitude in planar $\mathcal{N} = 4$ super-Yang-Mills theory at finite coupling when all three cross ratios are small. It exhibits a double logarithmic scaling in the…

高能物理 - 理论 · 物理学 2020-04-29 Benjamin Basso , Lance J. Dixon , Georgios Papathanasiou

We present a three-loop analysis of the scattering amplitude of five nearly massless W-bosons in planar maximally supersymmetric Yang-Mills theory. The basis of the master integrals is established, making use of the unitarity-cut sewing…

高能物理 - 理论 · 物理学 2026-05-19 Andrei V. Belitsky , Leonid V. Bork , Roman N. Lee , Vladimir A. Smirnov

We consider the leading and subleading UV divergences for the four-point on-shell scattering amplitudes in D=6,8,10 supersymmetric Yang-Mills theories in the planar limit. These theories belong to the class of maximally supersymmetric gauge…

高能物理 - 理论 · 物理学 2017-02-01 A. T. Borlakov , D. I. Kazakov , D. M. Tolkachev , D. E. Vlasenko

We review some recent additions to the tool-chest of techniques for finding compact integrand representations of multiloop gauge-theory amplitudes - including non-planar contributions - applicable for N=4 super-Yang-Mills in four and higher…

高能物理 - 理论 · 物理学 2015-05-27 John Joseph M. Carrasco , Henrik Johansson

We identify a large class of one-loop amplitudes for massless particles that can be constructed via unitarity from tree amplitudes, without any ambiguities. One-loop amplitudes for massless supersymmetric gauge theories fall into this…

高能物理 - 唯象学 · 物理学 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

We find an unexpected iterative structure within the two-loop five-gluon amplitude in N = 4 supersymmetric Yang-Mills theory. Specifically, we show that a subset of diagrams contributing to the full amplitude, including a two-loop…

高能物理 - 理论 · 物理学 2008-11-26 Freddy Cachazo , Marcus Spradlin , Anastasia Volovich