English
Related papers

Related papers: High-energy limit of $2\to 2$ scattering amplitude…

200 papers

We use our current understanding of the all-order singularity structure of gauge theory amplitudes to probe their high-energy limit. Our starting point is the dipole formula, a compact ansatz for the soft anomalous dimension matrix of…

High Energy Physics - Phenomenology · Physics 2012-10-26 Lorenzo Magnea , Vittorio Del Duca , Claude Duhr , Einan Gardi , Chris D. White

We analyse the real part of one-loop five-parton amplitudes in the next-to-multi-Regge kinematic (NMRK) limit, to leading power, and to finite order in the dimensional regularisation parameter. To leading logarithmic (LL) accuracy, it is…

High Energy Physics - Phenomenology · Physics 2024-05-15 Emmet P. Byrne

Using an effective field theory (EFT) formalism for forward scattering, we reconsider the factorization of $2\to 2$ scattering amplitudes in the Regge limit. Expanding the amplitude in gauge invariant operators labelled by the number of…

High Energy Physics - Phenomenology · Physics 2023-07-14 Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

It is shown that the four-gluon scattering amplitude for N=4 supersymmetric Yang-Mills theory in the planar limit can be written, in both the weak- and strong-coupling limits, as a reggeized amplitude, with a parent trajectory and an…

High Energy Physics - Theory · Physics 2008-11-26 Stephen G. Naculich , Howard J. Schnitzer

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…

High Energy Physics - Theory · Physics 2018-05-23 Robin Brüser , Simon Caron-Huot , Johannes M. Henn

The Regge limit of gauge-theory amplitudes and cross sections is a powerful theory tool for the study of fundamental interactions. It is a vast field of research, encompassing perturbative and non-perturbative dynamics, and ranging from…

High Energy Physics - Phenomenology · Physics 2018-12-17 Vittorio Del Duca , Lorenzo Magnea

We compute the three-loop four-gluon scattering amplitude in maximally supersymmetric Yang-Mills theory, including its full color dependence. Our result is the first complete computation of a non-planar four-particle scattering amplitude to…

High Energy Physics - Theory · Physics 2016-10-26 Johannes M. Henn , Bernhard Mistlberger

We compute all $2\to5$ gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial ("long") Regge cut. We provide the amplitudes through four loops and to all…

High Energy Physics - Theory · Physics 2022-01-19 Lance J. Dixon , Yu-Ting Liu , Julian Miczajka

The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for $2\rightarrow 2$ scattering in ${\cal N}=8$ supergravity was presented at three-loop order for the first time. The…

High Energy Physics - Theory · Physics 2019-09-18 Paolo Di Vecchia , Andrés Luna , Stephen G. Naculich , Rodolfo Russo , Gabriele Veneziano , Chris D. White

In this review we show that the multi-particle scattering amplitudes in N=4 SYM at large Nc and in the multi-Regge kinematics for some physical regions have the high energy behavior appearing from the contribution of the Mandelstam cuts in…

High Energy Physics - Theory · Physics 2015-05-27 J. Bartels , L. N. Lipatov , A. Prygarin

By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the…

High Energy Physics - Theory · Physics 2009-11-19 V. Del Duca , E. W. N. Glover

We further investigate, in the planar limit of N=4 supersymmetric Yang Mills theories,the high energy Regge behavior of six-point MHV scattering amplitudes. In particular, for the new Regge cut contribution found in our previous paper, we…

High Energy Physics - Theory · Physics 2010-02-11 J. Bartels , L. N. Lipatov , A. Sabio Vera

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…

High Energy Physics - Theory · Physics 2021-02-24 Stephen G. Naculich

We examine the Regge (high energy) limit of 4-point scattering in both QCD and gravity, using recently developed techniques to systematically compute all corrections up to next-to-leading power in the exchanged momentum i.e. beyond the…

High Energy Physics - Theory · Physics 2017-02-01 A. Luna , S. Melville , S. G. Naculich , C. D. White

We investigate the analytic structure of the $2\to5$ scattering amplitude in the planar limit of $\mathcal{N}=4$ SYM in multi-Regge kinematics in all physical regions. We demonstrate the close connection between Regge pole and Regge cut…

High Energy Physics - Theory · Physics 2014-05-20 Jochen Bartels , Andrey Kormilitzin , Lev Lipatov

We review the Regge and multi-Regge limit of scattering amplitudes in gauge theory, focusing on QCD and its maximally supersymmetric cousin, planar ${\cal N}=4$ super-Yang-Mills theory. We identify the large logarithms that are developed in…

High Energy Physics - Theory · Physics 2023-01-11 Vittorio Del Duca , Lance J. Dixon

We study the high-energy small-angle {\it Regge} limit of the fermion-antifermion scattering in gauge theories and consider the part of the amplitude suppressed by a power of the scattering angle. For abelian gauge group all-order…

High Energy Physics - Phenomenology · Physics 2020-05-20 Alexander A. Penin

We extend the recent formalism developed for computing rapidity anomalous dimension of form factors using unitarity to the problem of high-energy near forward scattering. By combining the factorization of $2\rightarrow 2$ scattering in the…

High Energy Physics - Phenomenology · Physics 2024-10-10 Ira Z. Rothstein , Michael Saavedra

Regge poles connect the analytic structure of scattering amplitudes, analytically continued in spin, to the high-energy limit in momentum space. Dual models are expected to have only Regge poles, and string theory suggests there should be…

High Energy Physics - Theory · Physics 2025-09-10 Christopher Eckner , Felipe Figueroa , Piotr Tourkine

We derive a compact all-loop-order expression for the IR-divergent part of the N=4 SYM four-gluon amplitude, which includes both planar and all subleading-color contributions, based on the assumption that the higher-loop soft anomalous…

High Energy Physics - Theory · Physics 2015-05-13 Stephen G. Naculich , Howard J. Schnitzer