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We report a calculation in N = 4 Yang-Mills of the four-loop term g^4 in the collinear anomalous dimension g(lambda) which governs the universal subleading infrared structure of gluon scattering amplitudes. Using the method of obstructions…

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

We compute the three-loop helicity amplitudes for the scattering of four gluons in QCD. We employ projectors in the 't Hooft-Veltman scheme and construct the amplitudes from a minimal set of physical building blocks, which allows us to keep…

高能物理 - 唯象学 · 物理学 2023-11-30 Fabrizio Caola , Amlan Chakraborty , Giulio Gambuti , Andreas von Manteuffel , Lorenzo Tancredi

We calculate one-loop scattering amplitudes in N=4 super Yang-Mills theory away from the origin of the moduli space and demonstrate that the results are extremely simple, in much the same way as in the conformally invariant theory.…

高能物理 - 理论 · 物理学 2015-02-23 Robert M. Schabinger

We extend the analysis of Higgs-regulated planar amplitudes of N=4 supersymmetric Yang-Mills theory to four loops for the four-gluon amplitude and to two loops for the five-gluon amplitude. Our calculations are consistent with a proposed…

高能物理 - 理论 · 物理学 2015-03-17 Johannes M. Henn , Stephen G. Naculich , Howard J. Schnitzer , Marcus Spradlin

We explore scattering amplitudes on the Coulomb branch of maximally supersymmetric Yang-Mills theory. We introduce a particular pattern of scalar vacuum expectation values that allow us to define amplitudes with a different mass pattern…

高能物理 - 理论 · 物理学 2025-02-05 Wojciech Flieger , Johannes Henn , Anders Schreiber , Jaroslav Trnka

We examine in detail the structure of the Regge limit of the (nonplanar) ${\cal N}=4$ SYM four-point amplitude. We begin by developing a basis of color factors $C_{ik}$ suitable for the Regge limit of the amplitude at any loop order, and…

高能物理 - 理论 · 物理学 2021-02-24 Stephen G. Naculich

We examine the gluon scattering amplitude in N=4 super Yang-Mills at finite temperature with nonzero R-charge densities, and in Non-Commutative gauge theory at finite temperature. The gluon scattering amplitude is defined as a light-like…

高能物理 - 理论 · 物理学 2011-08-17 George Georgiou , Dimitrios Giataganas

We describe how to compute planar gluon scattering amplitudes at strong coupling in N=4 super Yang Mills by using the gauge/string duality. The computation boils down to finding a certain classical string configuration whose boundary…

高能物理 - 理论 · 物理学 2009-11-13 Luis F. Alday , Juan Maldacena

We extend the AdS/CFT prescription of Alday and Maldacena to finite temperature $T$, defining the amplitude for gluon scattering in ${\cal N}=4$ Super Yang-Mills at strong coupling from string theory. It is defined by a lightlike ''Wilson…

高能物理 - 理论 · 物理学 2008-11-26 Katsushi Ito , Horatiu Nastase , Koh Iwasaki

We compute the three-loop helicity amplitudes for $q\bar{q} \to gg$ and its crossed partonic channels, in massless QCD. Our analytical results provide a non-trivial check of the color quadrupole contribution to the infrared poles for…

高能物理 - 唯象学 · 物理学 2023-01-04 Fabrizio Caola , Amlan Chakraborty , Giulio Gambuti , Andreas von Manteuffel , Lorenzo Tancredi

Using an iterative solution of rapidity evolution equations, we compute partonic $2\to 2$ gauge theory amplitudes at four loops in full colour up to the Next-to-Next-to-Leading Logarithms (NNLL) in the Regge limit. By contrasting the…

高能物理 - 唯象学 · 物理学 2021-09-08 Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

We show how generalised unitarity cuts in D = 4 - 2 epsilon dimensions can be used to calculate efficiently complete one-loop scattering amplitudes in non-supersymmetric Yang-Mills theory. This approach naturally generates the rational…

高能物理 - 理论 · 物理学 2009-11-11 Andreas Brandhuber , Simon McNamara , Bill Spence , Gabriele Travaglini

We study the subleading-color (nonplanar) contributions to the four-gluon scattering amplitudes in N=4 supersymmetric SU(N) Yang-Mills theory. Using the formalisms of Catani and of Sterman and Tejeda-Yeomans, we develop explicit expressions…

高能物理 - 理论 · 物理学 2008-11-26 Stephen G. Naculich , Horatiu Nastase , Howard J. Schnitzer

We present the four-loop remainder function for six-gluon scattering with maximal helicity violation in planar N=4 super-Yang-Mills theory, as an analytic function of three dual-conformal cross ratios. The function is constructed entirely…

高能物理 - 理论 · 物理学 2015-06-18 Lance J. Dixon , James M. Drummond , Claude Duhr , Jeffrey Pennington

We exploit the recently described property of cluster adjacency for scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory to construct the symbol of the four-loop NMHV heptagon amplitude. We use a manifestly cluster…

高能物理 - 理论 · 物理学 2020-04-16 James Drummond , Jack Foster , Ömer Gürdoğan , Georgios Papathanasiou

In this paper we discuss in detail computational methods and new results for one-loop virtual corrections to N = 4 super Yang-Mills scattering amplitudes calculated to all orders in epsilon, the dimensional regularization parameter. It is…

高能物理 - 理论 · 物理学 2015-03-19 Robert M. Schabinger

This work revisits the computation of six-gluon scattering amplitudes in the high energy limit of strongly coupled N=4 supersymmetric Yang-Mills theory. It is based on previous studies in which we showed that the amplitude simplifies in the…

高能物理 - 理论 · 物理学 2013-11-08 J. Bartels , J. Kotanski , V. Schomerus , M. Sprenger

We calculate the one loop amplitudes for the two gluon scattering process in light cone gauge with fermions and scalars circulating in the loop. This extends the earlier works, in which only the gluon circulates the loop. By putting all…

高能物理 - 理论 · 物理学 2008-11-26 J. Qiu

This thesis is concerned with the study of scattering amplitudes in four-dimensional conformal field theories, more particularly the N=4 super-Yang-Mills theory. We study this theory first at tree level by using twistor space techniques and…

高能物理 - 理论 · 物理学 2008-10-09 C. Vergu

Exploiting singularities in Feynman integrals to get information about scattering amplitudes has been particularly useful at one-loop in theories where no triangles or bubbles appear. At higher loops the integrals possess subtle…

高能物理 - 理论 · 物理学 2008-02-04 Freddy Cachazo , David Skinner