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The analysis on the hadron-hadron scattering at high energies in the framework of holographic QCD is presented. Combining the Pomeron exchange kernel and the hadron-Pomeron couplings which are obtained from the bottom-up AdS/QCD models, we…

High Energy Physics - Phenomenology · Physics 2020-01-08 Akira Watanabe

We generalize the Froissart-Martin upper bound for the scattering amplitude in spaces with compactified extra dimensions.

High Energy Physics - Phenomenology · Physics 2009-10-31 V. A. Petrov

We re-examine the constraints imposed by causality and unitarity on the low-energy effective field theory expansion of four-particle scattering amplitudes, exposing a hidden "totally positive" structure strikingly similar to the positive…

High Energy Physics - Theory · Physics 2023-01-11 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

At lower energies, the resonances in scattering experiments are often isolated. The crucial parameter is the ratio of average resonance width and average mean level spacing. Towards larger energies, this parameter grows, because the…

Statistical Mechanics · Physics 2025-03-31 Simon Köhnes , Jiongning Che , Barbara Dietz , Thomas Guhr

We make a detailed eikonal fit to current data on the total and elastic scattering cross sections, the ratios $\rho$ of the real to the imaginary parts of the forward elastic scattering amplitudes, and the logarithmic slopes $B$ of the…

High Energy Physics - Phenomenology · Physics 2015-07-15 Martin M. Block , Loyal Durand , Phuoc Ha , Francis Halzen

In this work, we develop machine learning techniques to study nonperturbative scattering amplitudes. We focus on the two-to-two scattering amplitude of identical scalar particles, setting the double discontinuity to zero as a simplifying…

High Energy Physics - Theory · Physics 2024-12-13 Mehmet Asim Gumus , Damien Leflot , Piotr Tourkine , Alexander Zhiboedov

We investigate the high-energy behavior of the elastic scattering amplitude using the eikonal and $U$-matrix unitarization schemes. This work extends the analysis in [1] by exploring the sensitivity of the Pomeron and Odderon parameters to…

High Energy Physics - Phenomenology · Physics 2024-11-26 M. Maneyro , E. G. S. Luna , M. Peláez

In this work, we provide a complete description of the scattering matrix elements and electron energy spectrum in one dimensional PT-symmetric hybrid finite systems, using the characteristic determinant approach. We present an analytical…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Vladimir Gasparian , Esther Jódar , Antonio Pérez-Garrido

We study quasi-bound states and scattering with short range potentials in three dimensions, subject to an axial periodic driving. We find that poles of the scattering S-matrix can cross the real energy axis as a function of the drive…

Quantum Physics · Physics 2018-05-08 H. Landa

We derive analytic constraints on the weakly-coupled spectrum of theories with a massless scalar under the standard assumptions of the S-matrix bootstrap program. These bootstrap bounds apply to any theory (with or without gravity) with…

High Energy Physics - Theory · Physics 2025-04-18 Justin Berman , Nicholas Geiser

The two-to-two four-dimensional scattering amplitude of identical scalars obeys rigorous two-sided non-perturbative bounds derived via the modern numerical S-matrix bootstrap. These bounds carve out an allowed region with a rich boundary…

High Energy Physics - Theory · Physics 2026-05-08 Joan Elias Miro , Andrea Guerrieri , Mehmet Asim Gumus

We find the complete set of conditions satisfied by the forward $2\to2$ scattering amplitude in unitarity and causal theories. These are based on an infinite set of energy dependent quantities -- the arcs -- which are dispersively expressed…

High Energy Physics - Theory · Physics 2021-10-12 Brando Bellazzini , Joan Elias Miró , Riccardo Rattazzi , Marc Riembau , Francesco Riva

We analyse pp elastic scattering data at the highest accelerator energy region (between 10 and 63 GeV) through a multiple diffraction approach. The use of Martin's formula in a model developed earlier is substituted by the introduction of a…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. F. Martini , M. J. Menon

Within the limits of the large-N_c approximation (with N_c the number of colors), we establish the high-energy behaviour of the diffractive and inclusive cross-sections for deep inelastic scattering at fixed impact parameter. We demonstrate…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Hatta , E. Iancu , C. Marquet , G. Soyez , D. N. Triantafyllopoulos

The variation with energy of the total cross section for elastic electron scattering from atoms of several elements is caused primarily by shape resonances corresponding to the formation of temporary negative ions. It is shown that such…

Atomic Physics · Physics 2007-05-23 Peter Nicoletopoulos

We present our analysis on the high energy scattering processes in the framework of the holographic QCD, assuming that the Pomeron exchange gives a dominant contribution to the cross sections. Focusing on the two-body scattering, we employ…

High Energy Physics - Phenomenology · Physics 2019-10-23 Akira Watanabe

We study scatterings of bosonic massive closed string states at arbitrary mass levels from D-brane. We discover that all the scattering amplitudes can be expressed in terms of the generalized hypergeometric function with special arguments,…

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

The scalar scattering of a plane wave by a smooth obstacle with impedance boundary conditions is considered. Upper bounds for the Total Cross Section and for the absorbed power are presented.

Mathematical Physics · Physics 2008-05-12 Pedro Cruz , Evgeny Lakshtanov

The nonperturbative approach to soft high-energy hadron-hadron scattering, based on the analytic continuation of Euclidean Wilson-loop correlation functions, makes possible the investigation of the problem of the asymptotic energy…

High Energy Physics - Lattice · Physics 2011-10-25 M. Giordano , E. Meggiolaro

Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the exact spectrum of particles and their on-shell…

Statistical Mechanics · Physics 2023-03-30 M. Lencsés , G. Mussardo , G. Takács