Bootstrap and momentum transfer dependence in small x evolution equations

TL;DR

This paper explores how running coupling effects influence small x evolution equations in deep inelastic scattering, revealing a milder dependence on momentum transfer compared to fixed coupling models.

Contribution

It introduces a model for running coupling effects compatible with the bootstrap condition, extending small x evolution equations to include realistic infrared behavior.

Findings

Running coupling effects reduce the dependence on momentum transfer.

The model aligns with power corrections to jet observables.

Infrared behavior is analytic and compatible with high-energy constraints.

Abstract

Using Monte Carlo integration techniques, we investigate running coupling effects compatible with the high energy bootstrap condition to all orders in the strong coupling in evolution equations valid at small values of Bjorken x in deep inelastic scattering. A model for the running of the coupling with analytic behavior in the infrared region and compatible with power corrections to jet observables is used. As a difference to the fixed coupling case, where the momentum transfer acts as an effective strong cut-off of the diffusion to infrared scales, in our running coupling study the dependence on the momentum transfer is much milder.