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Related papers: Multichannel conformal blocks for scattering ampli…

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We establish an all-loop conformal Yangian symmetry for the full set of planar amplitudes in the recently proposed integrable bi-scalar field theory in four dimensions. This chiral theory is a particular double scaling limit of…

High Energy Physics - Theory · Physics 2018-05-08 Dmitry Chicherin , Vladimir Kazakov , Florian Loebbert , Dennis Müller , De-liang Zhong

We show how the MHV diagram description of Yang-Mills theories can be used to study non-supersymmetric loop amplitudes. In particular, we derive a compact expression for the cut-constructible part of the general one-loop MHV multi-gluon…

High Energy Physics - Theory · Physics 2010-12-14 James Bedford , Andreas Brandhuber , Bill Spence , Gabriele Travaglini

Starting from a unitary, Lorentz invariant two-particle scattering amplitude , we show how to use an identification and replacement process to construct a unique, unitary particle-antiparticle amplitude. This process differs from…

Nuclear Theory · Physics 2015-06-26 James Lindesay , H. Pierre Noyes

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…

High Energy Physics - Theory · Physics 2020-04-29 Benjamin Basso , Lance J. Dixon , Georgios Papathanasiou

We present results of a new multichannel partial-wave analysis for $\bar K N$ scattering in the c.m.\ energy range 1480 to 2100 MeV. Resonance parameters were extracted by fitting partial-wave amplitudes from all considered channels using a…

High Energy Physics - Phenomenology · Physics 2013-09-18 H. Zhang , J. Tulpan , M. Shrestha , D. M. Manley

We consider scattering amplitudes in planar N = 4 supersymmetric Yang-Mills theory in special kinematics where all external four-dimensional momenta are restricted to a (1+1)-dimensional subspace. The amplitudes are known to satisfy…

High Energy Physics - Theory · Physics 2015-06-05 Timothy Goddard , Paul Heslop , Valentin V. Khoze

We consider light-like Wilson loops with hexagonal geometry in the planar limit of N=4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loops receive contributions from all states that can propagate on top of…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Basso , Amit Sever , Pedro Vieira

We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyse the analytic…

High Energy Physics - Theory · Physics 2023-09-25 Miguel S. Costa , Vasco Goncalves , Aaditya Salgarkar , Joao Vilas Boas

We pursue the use of deep learning methods to improve state-of-the-art computations in theoretical high-energy physics. Planar N = 4 Super Yang-Mills theory is a close cousin to the theory that describes Higgs boson production at the Large…

Machine Learning · Computer Science 2024-09-20 Tianji Cai , Garrett W. Merz , François Charton , Niklas Nolte , Matthias Wilhelm , Kyle Cranmer , Lance J. Dixon

In the study of conformal field theories, conformal blocks in the lightcone limit are fundamental to the analytic conformal bootstrap method. Here we consider the lightcone limit of 4-point functions of generic scalar primaries. Based on…

High Energy Physics - Theory · Physics 2020-01-14 Wenliang Li

The full complex phase structure of the meson-baryon reaction amplitude in coupled channels approach is investigated, including also the photon-baryon channel. The result may be viewed as a generalization of the well-known Watson's theorem.…

Nuclear Theory · Physics 2020-02-18 Shahab Razavi , K. Nakayama

We describe the hexagon function bootstrap for solving for six-gluon scattering amplitudes in the large $N_c$ limit of ${\cal N}=4$ super-Yang-Mills theory. In this method, an ansatz for the finite part of these amplitudes is constrained at…

High Energy Physics - Theory · Physics 2014-07-28 Lance J. Dixon , James M. Drummond , Claude Duhr , Matt von Hippel , Jeffrey Pennington

Relations between scattering and production amplitudes are studied in a microscopic multichannel model for meson-meson scattering, with coupling to confined quark-antiquark channels. Overlapping resonances and a proper threshold behaviour…

High Energy Physics - Phenomenology · Physics 2011-07-19 Eef van Beveren , George Rupp

We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as $p^2 \to 0$. In particular, we study a form factor…

High Energy Physics - Theory · Physics 2020-12-30 Marc Gillioz , Marco Meineri , Joao Penedones

A novel understanding of scattering amplitudes in terms of on-shell diagrams and positive Grassmannian has been recently established for four dimensional Yang-Mills theories and three dimensional Chern-Simons theories of ABJM type. We give…

High Energy Physics - Theory · Physics 2015-06-18 Joonho Kim , Sangmin Lee

This paper is a continuation of our studies of multiquark hadrons. The anti-symmetrization of their wavefunctions required by Fermi statistics is nontivial, as it mixes orbital, color, spin and flavor structures. In our previous papers we…

High Energy Physics - Phenomenology · Physics 2025-07-09 Nicholas Miesch , Edward Shuryak , Ismail Zahed

Starting from hyperbolic dispersion relations for the invariant amplitudes of pion-nucleon scattering together with crossing symmetry and unitarity, one can derive a closed system of integral equations for the partial waves of both the…

High Energy Physics - Phenomenology · Physics 2013-08-09 Christoph Ditsche , Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

We prove that 1-loop n-point NMHV superamplitudes in N=4 SYM theory are dual conformal covariant for all numbers n of external particles (after regularization and subtraction of IR divergences). This property was previously established for…

High Energy Physics - Theory · Physics 2015-05-13 Henriette Elvang , Daniel Z. Freedman , Michael Kiermaier

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…

High Energy Physics - Theory · Physics 2022-07-22 Nima Arkani-Hamed , Lance J. Dixon , Andrew J. McLeod , Marcus Spradlin , Jaroslav Trnka , Anastasia Volovich

Combining the Berends-Giele and on-shell recursion relations we obtain an extremely compact expression for the scattering amplitude of a complex scalar-antiscalar pair and an arbitrary number of positive helicity gluons. This is one of the…

High Energy Physics - Theory · Physics 2011-03-22 Paola Ferrario , German Rodrigo , Pere Talavera