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We consider scattering amplitudes in non-critical string theory of $N$ external states in the limit where the energy of all external states is large compared to the string tension. We argue that the amplitudes are naturally complex analytic…

High Energy Physics - Theory · Physics 2009-10-30 Kenichiro Aoki , Eric D'Hoker

We calculate one-loop scattering amplitudes in N=4 super Yang-Mills theory away from the origin of the moduli space and demonstrate that the results are extremely simple, in much the same way as in the conformally invariant theory.…

High Energy Physics - Theory · Physics 2015-02-23 Robert M. Schabinger

We turn high energy elastic scattering of hadrons into an initial value problem using an evolution equation based on the Regge Field Theory, which has a form of the complex nonlinear reaction-diffusion equation, with time being played by…

High Energy Physics - Phenomenology · Physics 2022-09-28 Hiren Kakkad , Anderson Kendi Kohara , Piotr Kotko

The scattering amplitude in the dual model with Mandelstam analyticity and trajectory $\alpha (s)=\alpha_{0}-\gamma \ln [ (1+\beta \sqrt{s_{0} -s})/(1+ \beta \sqrt{s_{0}})]$ is studied in the limit $s,|t|\to \infty, s/t=const.$ By using the…

High Energy Physics - Phenomenology · Physics 2016-08-25 R. Fiore , L. L. Jenkovszky , V. K. Magas , F. Paccanoni

When scattering amplitudes are calculated in the double-logarithmic approximation, it is possible to relate the double-logarithmic on-shell and off-shell amplitudes. Explicit relations are obtained for scattering amplitudes in QED, QCD, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. I. Ermolaev , M. Greco , F. Olness , S. I. Troyan

In the last couple of years, the LHC has released precise measurements of elastic proton-proton scattering which has become an important guide in the search for selecting phenomenological models and theoretical approaches to understand, in…

High Energy Physics - Phenomenology · Physics 2019-08-06 Mateus Broilo

In light of the strong advances in understanding the mathematical structure of scattering amplitudes, we discuss the Regge limit of QCD and of the ${\cal N}=4$ Super Yang-Mills theory.

High Energy Physics - Theory · Physics 2018-12-05 Vittorio Del Duca

We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the graviton multiplet in the Type II Superstring. In particular we obtain explicit double and single dispersion relations, formulas for all…

High Energy Physics - Theory · Physics 2011-04-20 Eric D'Hoker , D. H. Phong

This work revisits the computation of six-gluon scattering amplitudes in the high energy limit of strongly coupled N=4 supersymmetric Yang-Mills theory. It is based on previous studies in which we showed that the amplitude simplifies in the…

High Energy Physics - Theory · Physics 2013-11-08 J. Bartels , J. Kotanski , V. Schomerus , M. Sprenger

The form and energy dependence of different terms of the cross-even and cross-odd parts of the elastic nucleon-nucleon scattering amplitude is determined in the framework of the High Energy Generalize Structure (HEGS) model. In the…

High Energy Physics - Phenomenology · Physics 2023-11-28 O. V. Selyugin

Radiative corrections to elastic electron-proton scattering are analyzed in effective field theory. A new factorization formula identifies all sources of large logarithms in the limit of large momentum transfer, $Q^2\gg m_e^2$. Explicit…

High Energy Physics - Phenomenology · Physics 2017-01-11 Richard J. Hill

The tree-level type II superstring theory scattering amplitude of two dilatons and two dilatinos is explicitly calculated from the Kawai-Lewellen-Tye relations. The corresponding Regge behavior is obtained.

High Energy Physics - Theory · Physics 2025-10-01 Lucas Martin , Martin Parlanti , Martin Schvellinger

Several methods of extracting the magnitude of the real parts of the elastic hadron scattering amplitude - from the experimental data are presented. These methods allows us to obtain the real parts at one definite point of the transfer…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Selyugin

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

We evaluate one-loop open-string amplitudes at finite $\alpha'$ for the first time. Our method involves a deformation of the integration contour over the modular parameter $\tau$ to a fractal contour introduced by Rademacher in the context…

High Energy Physics - Theory · Physics 2023-09-27 Lorenz Eberhardt , Sebastian Mizera

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

We study the on-shell scattering amplitudes in quantum gravity for high-energy collisions in the eikonal approximation. We first evaluate the $n$-loop 2-particle scattering amplitude in the high energy and low momentum transfer limit. We do…

High Energy Physics - Theory · Physics 2023-12-04 Shreya Shrivastava

We use Stirling number identities developed recently in number theory to show that ratios among high energy string scattering amplitudes in the fixed angle regime can be extracted from the Kummer function of the second kind. This result not…

High Energy Physics - Theory · Physics 2009-09-23 Jen-Chi Lee , Yi Yang , Sheng-Lan Ko

High-energy limit of stringy Ward identities derived from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string are used to check the consistency of saddle point…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Tsung Chan , Pei-Ming Ho , Jen-Chi Lee

We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang