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We study two-to-two parton scattering amplitudes in the high-energy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leading-logarithmic order for arbitrary…

High Energy Physics - Phenomenology · Physics 2020-06-03 Simon Caron-Huot , Einan Gardi , Joscha Reichel , Leonardo Vernazza

We propose a method to calculate scattering amplitudes using the Bethe-Salpeter wave function inside the interaction range on the lattice. For an exploratory study of this method, we evaluate a scattering length of $I=2$ S-wave two pions by…

High Energy Physics - Lattice · Physics 2018-08-09 Yusuke Namekawa , Takeshi Yamazaki

It is pointed out the ${\cal N}=4$ supersymmetric gauge theory used in the anti-de Sitter holographic correspondence is required to be modified. The SL(2,Z) completion of the theory is required to map the correlators to string theory…

General Physics · Physics 2007-05-23 Gordon Chalmers

We specialize the $N$ string scattering amplitudes for the generalized protostring to $N=4$. This allows for a much more detailed and explicit study of their basic physical and mathematical properties, such as singularity structure and high…

High Energy Physics - Theory · Physics 2022-06-14 Charles B. Thorn

We investigate the behavior of superstring disk scattering amplitudes in the presence of a soft external momentum at finite string tension. We prove that there are no $\alpha'$-corrections to the field theory form of the subleading soft…

High Energy Physics - Theory · Physics 2014-08-27 Burkhard U. W. Schwab

We study a gauge fixed action of open string field theory expanded around the universal solution which has been found as an analytic classical solution with one parameter a. For a>-1/2, we are able to reproduce open string scattering…

High Energy Physics - Theory · Physics 2009-11-10 Tomohiko Takahashi , Syoji Zeze

We compute scattering amplitudes of the regularized bosonic Nambu-Goto string in the mean-field approximation, disregarding fluctuations of the Lagrange multiplier and an independent metric about their mean values. We use the previously…

High Energy Physics - Theory · Physics 2017-11-08 J. Ambjorn , Y. Makeenko

We investigate the high-energy, small-angle limit of two-body gravitational scattering. Using power counting arguments and dispersion relations in an effective field theory for the Regge regime, we derive the general loop expansion that…

High Energy Physics - Theory · Physics 2026-05-21 Francesco Alessio , Vittorio Del Duca , Riccardo Gonzo , Emanuele Rosi , Ira Z. Rothstein , Michael Saavedra

We compare the structure of the tree level scattering amplitudes in non-Abelian tensor gauge field theory and in open string theory with Chan-Paton charges. We limit ourselves considering only lower rank tensor fields in both theories. We…

High Energy Physics - Theory · Physics 2009-10-22 George Savvidy

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

The theoretical predictions for the subtraction constants lead to a very accurate dispersive representation of the pi pi scattering amplitude below 0.8 GeV. The extension of this representation up to the maximum energy of validity of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Irinel Caprini , Gilberto Colangelo , Heinrich Leutwyler

We show that unlike conventional field theory, the particle field theory of the string's constituents produces in the ladder approximation linear Regge trajectories, in accord with its string theory dual. In this theory propagators are…

High Energy Physics - Theory · Physics 2010-04-05 Tirthabir Biswas , Marc Grisaru , Warren Siegel

Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with…

High Energy Physics - Theory · Physics 2009-10-28 David C. Dunbar , Paul S. Norridge

The soft anomalous dimension governs the infrared divergences of scattering amplitudes in general kinematics to all orders in perturbation theory. By comparing the recent Regge-limit results for $2\to2$ scattering (through…

High Energy Physics - Phenomenology · Physics 2022-02-07 Niamh Maher , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we show satisfy dual resonance and have suitable high-energy…

High Energy Physics - Theory · Physics 2024-12-11 Rishabh Bhardwaj , Marcus Spradlin , Anastasia Volovich , He-Chen Weng

In this paper we review recent results on symmetries in N=4 super Yang-Mills theory. Symmetries are of invaluable help in studying and constraining the scattering amplitudes, and there has been a lot of progress in recent years concerning…

High Energy Physics - Theory · Physics 2015-03-19 L. Ferro

In this Thesis we address the issue of consistent higher-spin interactions taking String Theory as a "theoretical laboratory". We thus arrive at a simple expression encompassing all three-point amplitudes for states belonging to the first…

High Energy Physics - Theory · Physics 2010-10-11 Massimo Taronna

Method for computing scattering amplitudes of open strings with Dirichlet boundary on one end and Neumann boundary condition on the other is described. Vertex operator for these states are constructed using twist fields which have been…

High Energy Physics - Theory · Physics 2009-10-30 Akikazu Hashimoto

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like)…

High Energy Physics - Theory · Physics 2018-10-17 Stephan Stieberger , Tomasz R. Taylor

This paper considers general features of the derivative expansion of Feynman diagram contributions to the four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a two-torus. These are translated into…

High Energy Physics - Theory · Physics 2010-10-27 Michael B. Green , Jorge G. Russo , Pierre Vanhove