Derivation of the Balitsky-Kovchegov Equation for Quark-Quark Scattering

TL;DR

This paper derives the Balitsky-Kovchegov (BK) equation specifically for quark-quark scattering, showing how the scattering amplitude evolves with rapidity and emphasizing the importance of the coupling constant.

Contribution

The paper extends the BK equation to quark-quark scattering, providing a new theoretical framework for understanding quark interactions at high energies.

Findings

Quark-quark scattering amplitude increases with rapidity.

The Lorentz invariance of the momentum dot product influences the coupling constant.

The derivation connects the BK equation to quark-quark interactions.

Abstract

We derived the BK equation for quark-quark scattering, extending the dipole-hadron scattering framework. This derivation reveals that the quark-quark scattering amplitude grows with increasing quark rapidity. Since the momentum dot product is Lorentz invariant, the coupling constant plays a crucial role in accounting for it.