Violation of energy-momentum conservation in Mueller-Navelet jets production

TL;DR

This paper investigates how energy-momentum conservation violations in the BFKL approach affect Mueller-Navelet jets production, showing that next-to-leading order corrections mitigate these effects.

Contribution

It demonstrates that including NLO BFKL corrections to the jet production vertex reduces the impact of energy-momentum conservation violations.

Findings

NLO corrections significantly reduce conservation violation effects.

Comparison with exact calculations validates the mitigation.

Highlights importance of higher-order corrections in BFKL analyses.

Abstract

We study effects related to violation of energy-momentum conservation inherent to the BFKL approach, in the particular case of Mueller-Navelet jets production. We argue, based on the comparison of the lowest order non trivial corrections $\mathcal{O}(\alpha_s^3)$ to the cross section with predictions of an exact calculation, that the inclusion of next-to-leading order BFKL corrections to the jet production vertex significantly reduces the importance of these effects.