BFKL signatures at a linear collider

TL;DR

This paper explores how BFKL dynamics can be tested at future high-energy electron-positron linear colliders by analyzing gamma* gamma* cross-sections and other signals, highlighting the rapidity dependence as a key indicator.

Contribution

It provides a calculation of the gamma* gamma* cross-section within the BFKL framework and compares it with 2-gluon exchange, emphasizing the role of rapidity dependence in detecting BFKL effects.

Findings

BFKL effects significantly enhance the gamma* gamma* cross-section at high energies.

Rapidity dependence amplifies the ratio of BFKL to 2-gluon cross-sections.

Potential signals like diffractive J/Ψ and forward jets are promising for BFKL detection.

Abstract

The BFKL dynamics can be successfully tested at the future high energy $e^+e^-$ linear collider. The total $\gamma^*\gamma^*$ cross-section is calculated in the Leading Log QCD dipole picture of BFKL dynamics, and compared with the one from 2-gluon exchange. The rapidity dependence of the cross-section remains a powerful tool to increase the ratio between the BFKL and the 2-gluon cross-sections and is more sensitive to BFKL effects, even in the presence of higher order corrections. Other potential signals like diffractive $J/ \Psi$ and 'forward' jet productions will also be discussed.