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In this paper we study the scattering amplitudes at strong coupling for the case where the number of gluons is a multiple of four. This is an important missing piece in arXiv:1002.2459. The tricky point for n=4K is that there is some…

高能物理 - 理论 · 物理学 2011-01-27 Gang Yang

We consider gluon and gluino scattering amplitudes in large N beta-deformed N=4 SYM with real beta. A direct inspection of the planar diagrams shows that the scattering amplitudes to all orders in perturbation theory are the same as in the…

高能物理 - 理论 · 物理学 2008-11-26 Yaron Oz , Stefan Theisen , Shimon Yankielowicz

We study the single soft-gluon current at two loops with two energetic partons in massless perturbative QCD, which describes, for example, the soft limit of the two-loop amplitude for $gg\to Hg$. The results are presented as Laurent…

高能物理 - 唯象学 · 物理学 2013-11-20 Ye Li , Hua Xing Zhu

In this paper we review recent results on symmetries in N=4 super Yang-Mills theory. Symmetries are of invaluable help in studying and constraining the scattering amplitudes, and there has been a lot of progress in recent years concerning…

高能物理 - 理论 · 物理学 2015-03-19 L. Ferro

We discuss the calculation of two-loop helicity amplitudes for quark-quark scattering in QCD and four-gluino scattering in N=1 supersymmetric Yang-Mills theory. We study the dependence of the results on different variants of dimensional…

高能物理 - 唯象学 · 物理学 2007-05-23 A. De Freitas , Z. Bern

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 $D\le 6$…

高能物理 - 理论 · 物理学 2017-09-20 Henrik Johansson , Gregor Kälin , Gustav Mogull

Using the method of maximal cuts, we obtain a form of the three-loop four-point scattering amplitude of N=8 supergravity in which all ultraviolet cancellations are made manifest. The Feynman loop integrals that appear have a graphical…

高能物理 - 理论 · 物理学 2009-11-13 Z. Bern , J. J. M. Carrasco , L. J. Dixon , H. Johansson , R. Roiban

Carrollian amplitudes are scattering amplitudes of massless particles written in position space at null infinity. We study various aspects of Carrollian amplitudes for gauge theory and gravity at loop level using primarily the modified…

高能物理 - 理论 · 物理学 2026-05-15 Vijay Nenmeli , Bin Zhu

We argue that the scattering amplitudes in the maximally supersymmetric N=4 super-Yang-Mills theory possess a new symmetry which extends the previously discovered dual conformal symmetry. To reveal this property we formulate the scattering…

高能物理 - 理论 · 物理学 2009-12-22 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

Following Alday and Maldacena, we describe a string theory method to compute the strong coupling behavior of the scattering amplitudes of quarks and gluons in planar N=2 super Yang-Mills theory in the probe approximation. Explicit…

高能物理 - 理论 · 物理学 2008-11-26 John McGreevy , Amit Sever

We study an alternative to dimensional regularisation of planar scattering amplitudes in N=4 super Yang-Mills theory by going to the Coulomb phase of the theory. The infrared divergences are regulated by masses obtained from a Higgs…

高能物理 - 理论 · 物理学 2011-01-24 Luis F. Alday , Johannes M. Henn , Jan Plefka , Theodor Schuster

$s$-channel discontinuity of quark-quark scattering amplitude with gluon quantum numbers in the $t$ channel and negative signature is calculated in the Regge kinematical region in the two-loop approximation. Using this discontinuity and…

高能物理 - 唯象学 · 物理学 2009-10-28 V. S. Fadin , R. Fiore , A. Quartarolo

The high-energy limit of $2\to 2$ scattering amplitudes offers an excellent setting to explore the universal features of gauge theories. At Leading Logarithmic (LL) accuracy the partonic amplitude is governed by Regge poles in the complex…

高能物理 - 唯象学 · 物理学 2022-07-18 Calum Milloy , Giulio Falcioni , Einan Gardi , Niamh Maher , Leonardo Vernazza

Planar L-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory are believed to possess the remarkable property of satisfying iteration relations in L. We propose a simple new method for studying the…

高能物理 - 理论 · 物理学 2009-11-11 Freddy Cachazo , Marcus Spradlin , Anastasia Volovich

We use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar ${\cal N}=4$ super-Yang-Mills theory from recent…

高能物理 - 理论 · 物理学 2018-02-14 Lance J. Dixon

A novel way of computing high-order amplitudes in the multi-Regge limit of planar maximally supersymmetric Yang-Mills theory is presented. In this framework, we are able to obtain high-loop and high-leg results by an easy operation on known…

In this contribution we describe computational tools that permit the evaluation of multi-loop scattering amplitudes in N=8 supergravity, in terms of amplitudes in N=4 super-Yang-Mills theory. We also discuss the remarkable ultraviolet…

高能物理 - 理论 · 物理学 2015-05-27 Zvi Bern , John Joseph Carrasco , Lance Dixon , Henrik Johansson , Radu Roiban

We study four point planar loop amplitudes at an arbitrary point in the Coulomb branch of $\mathcal{N}=4$ super-Yang-Mills theory. We study two particle unitary cuts up to four loop order. We explicitly verify that bubble and triangle…

高能物理 - 理论 · 物理学 2024-05-01 Md. Abhishek , Subramanya Hegde , Dileep P. Jatkar , Arnab Priya Saha , Amit Suthar

We give an explicit recursive formula for the all L-loop integrand for scattering amplitudes in N=4 SYM in the planar limit, manifesting the full Yangian symmetry of the theory. This generalizes the BCFW recursion relation for tree…

高能物理 - 理论 · 物理学 2011-01-17 Nima Arkani-Hamed , Jacob L. Bourjaily , Freddy Cachazo , Simon Caron-Huot , Jaroslav Trnka

We show that scattering amplitudes in planar N = 4 Super Yang-Mills in multi-Regge kinematics can naturally be expressed in terms of single-valued iterated integrals on the moduli space of Riemann spheres with marked points. As a…