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The collinear factorization properties of two-loop scattering amplitudes in dimensionally-regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of…

High Energy Physics - Theory · Physics 2010-11-15 C. Anastasiou , Z. Bern , L. Dixon , D. A. Kosower

We consider the radiation of three soft gluons in a generic process for multiparton hard scattering in QCD. In the soft limit the corresponding scattering amplitude has a singular behaviour that is factorized and controlled by a colorful…

High Energy Physics - Phenomenology · Physics 2020-07-28 Stefano Catani , Dimitri Colferai , Alessandro Torrini

We compute the double differential inclusive spectrum for the emission of a soft gluon from a color-singlet $q\bar q$ pair traversing a dense QCD medium. Our results extend the existing literature by simultaneously incorporating both single…

High Energy Physics - Phenomenology · Physics 2025-12-09 Matvey V. Kuzmin , João M. Silva

We consider the radiation of a soft gluon ($g$) and a soft quark-antiquark ($q{\bar q}$) pair in QCD hard scattering. In the soft limit the scattering amplitude has a singular behaviour that is factorized and controlled by a soft current,…

High Energy Physics - Phenomenology · Physics 2023-02-01 Stefano Catani , Leandro Cieri , Dimitri Colferai , Francesco Coradeschi

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…

High Energy Physics - Phenomenology · Physics 2021-09-08 Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand onto the product of six tree-level amplitudes evaluated at complex momentum values.…

High Energy Physics - Phenomenology · Physics 2012-04-18 Simon Badger , Hjalte Frellesvig , Yang Zhang

The infrared exponentiation properties of dimensionally-regularized multi-loop scattering amplitudes are typically hidden at the level of the integrand, materializing only after integral evaluation. We address this long-standing problem by…

High Energy Physics - Theory · Physics 2019-07-22 Robert M. Schabinger

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…

High Energy Physics - Theory · Physics 2008-10-09 C. Vergu

We explore the space of consistent three-particle couplings in $\mathbb Z_2$-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity, analyticity and crossing symmetry of the…

High Energy Physics - Theory · Physics 2020-01-08 Alexandre Homrich , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

I describe some recent developments in the understanding of gluon scattering amplitudes in N=4 super-Yang-Mills theory in the large-N_c limit. These amplitudes can be computed to high orders in the weak coupling expansion, and also now at…

High Energy Physics - Theory · Physics 2009-08-07 Lance J. Dixon

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

Recently it has been argued that tree-level scattering amplitudes in N=4 Yang-Mills theory are uniquely determined by a careful study of their superconformal and Yangian symmetries. However, at one-loop order these symmetries are known to…

High Energy Physics - Theory · Physics 2010-04-22 Niklas Beisert , Johannes Henn , Tristan McLoughlin , Jan Plefka

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

We compute three-loop corrections to the three-point form factor of the operator $\operatorname{tr}(\phi^2)$ in $\mathcal{N} = 4$ Super Yang-Mills theory. In particular, our result is valid beyond the leading-color limit and will…

High Energy Physics - Theory · Physics 2025-11-26 Xin Guan , Bernhard Mistlberger , Michael Ruf

We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce directly from Feynman diagrams to the coefficients of a set…

High Energy Physics - Phenomenology · Physics 2019-07-01 Heribertus Bayu Hartanto , Simon Badger , Christian Brønnum-Hansen , Tiziano Peraro

One-loop amplitudes of gluons in supersymmetric Yang-Mills are four-dimensional cut-constructible. This means that they can be determined from their unitarity cuts. We present a new systematic procedure to explicitly carry out any finite…

High Energy Physics - Phenomenology · Physics 2009-07-09 Ruth Britto , Evgeny Buchbinder , Freddy Cachazo , Bo Feng

Considering $2\to 2$ gauge-theory scattering with general colour in the high-energy limit, we compute the Regge-cut contribution to three loops through next-to-next-to-leading high-energy logarithms (NNLL) in the signature-odd sector. Our…

High Energy Physics - Phenomenology · Physics 2017-06-28 Simon Caron-Huot , Einan Gardi , Leonardo Vernazza

The study of QCD scattering amplitudes in the collinear regime provides crucial insight into the factorization properties of hadronic cross sections. In this paper, we present the first complete results for two-loop spacelike splitting…

High Energy Physics - Phenomenology · Physics 2026-04-01 Federico Buccioni , Hanyu Fang , Kai Yan

We consider the double-soft limit of QCD amplitudes with two massive quarks in a back-to-back kinematics accompanied by two soft partons. We integrate analytically the respective double-soft eikonal functions over the phase space of the two…

High Energy Physics - Phenomenology · Physics 2020-08-26 Wojciech Bizon , Maximilian Delto

Perturbative QCD relates the single transverse-spin asymmetries (SSAs) for hard processes at large transverse-momentum of produced particle to partonic matrix elements that describe interference between scattering from a coherent…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuji Koike , Kazuhiro Tanaka