Improvements to the Froissart bound from AdS/CFT

TL;DR

This paper investigates the Froissart bound's high-energy behavior of total cross sections using AdS/CFT, revealing subleading logarithmic terms that improve data fits and deepen understanding of strong coupling dynamics.

Contribution

It derives the subleading logarithmic correction to the Froissart bound from AdS/CFT, showing its impact on fitting experimental data.

Findings

A negative coefficient for the logarithmic term in the Froissart bound.

Improved data fits with the inclusion of the logarithmic correction.

Confirmation of the theoretical prediction through experimental data analysis.

Abstract

In this paper we consider the issue of the Froissart bound on the high energy behaviour of total cross sections. This bound, originally derived using principles of analyticity of scattering amplitudes, is seen to be satisfied by all the available experimental data on total hadronic cross sections. At strong coupling, gauge/gravity duality has been used to provide some insights into this behaviour. In this work, we find the subleading terms to the so-derived Froissart bound from AdS/CFT. We find that a $(\ln \frac{s}{s_0})$ term is obtained, with a negative coefficient. We see that the fits to the currently available data confirm improvement in the fits due to the inclusion of such a term, with the appropriate sign.