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In this letter we consider the collinear limit of gluon scattering amplitudes in planar N=4 SYM theory at strong coupling. We argue that in this limit scattering amplitudes map into correlators of twist fields in the two dimensional…

High Energy Physics - Theory · Physics 2015-01-07 Benjamin Basso , Amit Sever , Pedro Vieira

We consider four scalar mesons scattering in large-Nc QCD. Using the worldline formalism we show that the scattering amplitude can be written as a formal sum over Wilson loops. The AdS/CFT correspondence maps this sum into a sum over string…

High Energy Physics - Theory · Physics 2016-04-20 Adi Armoni

We explore the Mellin representation of conformal correlation functions recently proposed by Mack. Examples in the AdS/CFT context reinforce the analogy between Mellin amplitudes and scattering amplitudes. We conjecture a simple formula…

High Energy Physics - Theory · Physics 2011-03-18 Joao Penedones

We consider theories of weakly interacting higher spin particles in flat spacetime. We focus on the four-point scattering amplitude at high energies and imaginary scattering angles. The leading asymptotic of the amplitude in this regime is…

High Energy Physics - Theory · Physics 2018-07-04 Amit Sever , Alexander Zhiboedov

It is a common lore that the amplitude for a scattering process involving one soft Nambu--Goldstone boson should scale like an integer power of the soft momentum. We revisit this expectation by considering the $2 \to 2$ scattering of…

High Energy Physics - Theory · Physics 2022-06-13 Tomáš Brauner , Angelo Esposito , Riccardo Penco

We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Radu Roiban

Very recently in arXiv:0705.0303 Alday and Maldacena gave a string theory prescription for computing (all) planar amplitudes in N=4 supersymmetric gauge theory at strong coupling using the AdS/CFT correspondence. These amplitudes are…

High Energy Physics - Theory · Physics 2008-11-26 Steven Abel , Stefan Forste , Valentin V. Khoze

We compute meson scattering amplitudes using the holographic duality between confining gauge theories and string theory, in order to consider holographic corrections to the Veneziano amplitude and associated higher-point functions. The…

High Energy Physics - Theory · Physics 2017-04-26 Adi Armoni , Edwin Ireson

Extending earlier work on strong-coupling meson-baryon scattering in QCD_2, we derive the effective meson-baryon action for any value of the coupling constant, in the large-N_c limit. Colour degrees of freedom play an important role, and we…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Yitzhak Frishman , Marek Karliner

We study scattering on the Coulomb branch of planar ${\mathcal{N}}=4$ SYM at finite 't Hooft coupling. This setup defines a family of classical open-string S-matrices that smoothly interpolates between perturbative parton scattering at weak…

High Energy Physics - Theory · Physics 2025-10-24 Luis F. Alday , Elisabetta Armanini , Kelian Häring , Alexander Zhiboedov

A formal relationship between scattering amplitudes in critical bosonic string theory and correlation functions of operators in topological string theory is found.

High Energy Physics - Theory · Physics 2016-09-06 Roger Brooks

We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. For each fixed mass level with given quantized and winding momenta ((m/R),(1/2)nR), we obtain infinite linear relations among high…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Chi Lee , Yi Yang

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…

High Energy Physics - Theory · Physics 2011-01-27 Gang Yang

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

We investigate the high-energy fixed-angle scattering of pions and $\rho$-mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler arXiv:hep-th/0109174 to write an ansatz for meson…

High Energy Physics - Theory · Physics 2025-06-04 Adi Armoni , Bartosz Pyszkowski , Shigeki Sugimoto , Dorin Weissman

We examine universal positivity constraints on $2 \to 2$ scattering in 4d planar $N=4$ supersymmetric Yang-Mills theory with higher-derivative corrections. We present numerical evidence that the convex region of allowed Wilson coefficients…

High Energy Physics - Theory · Physics 2023-10-18 Justin Berman , Henriette Elvang , Aidan Herderschee

Scattering amplitudes in $d+2$ dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial $d$-sphere. We explain how compact expressions for the full tree-level…

High Energy Physics - Theory · Physics 2020-01-08 Tim Adamo , Lionel Mason , Atul Sharma

The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been…

High Energy Physics - Theory · Physics 2022-12-14 Tristan McLoughlin , Andrea Puhm , Ana-Maria Raclariu

We use the recently proposed generalised on-shell representation for scattering amplitudes and a consistency test to explore the space of tree-level consistent couplings in four-dimensional Minkowski spacetime. The extension of the…

High Energy Physics - Theory · Physics 2013-05-30 Paolo Benincasa , Eduardo Conde

We use the flat space limit of the AdS/CFT correspondence to derive a simple relation between the 2 to 2 scattering amplitude of massless string states in type IIB superstring theory on ten-dimensional Minkowski space and a scaling limit of…

High Energy Physics - Theory · Physics 2011-04-22 Takuya Okuda , Joao Penedones
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