Unified Model for Small-t and High-t Scattering at High Energies: Predictions at RHIC and LHC

TL;DR

This paper introduces a unified theoretical model for small and high momentum transfer scattering at high energies, providing detailed predictions for differential cross sections at RHIC and LHC.

Contribution

A novel unified model combining small and high t scattering based on fundamental principles, with specific predictions for high-energy collider experiments.

Findings

Predicted behavior of differential cross sections at high t

Expected evolution of dip-shoulder structure in -t region

Anticipated violation of exponential behavior in diffraction cone

Abstract

The urgency of predictions in large-t region at LHC stimulated us to present a unified model of small and high t scattering at high energies. Our model is based upon a safe theoretical ground: analyticity, unitarity, Regge behavior, gluon exchange and saturation of bounds established in axiomatic quantum field theory. We make precise predictions for the behavior of the differential cross sections at high t, the evolution of the dip-shoulder structure localized in the region of -t between 0.5 and 0.8 GeV**2 and the radical violation of the exponential behavior of the first diffraction cone at small t.