# One-loop corrections to multiscale effective vertices in the EFT for Multi-Regge processes in QCD

## TL;DR

This paper reviews the calculation of one-loop corrections to specific effective vertices in QCD's Multi-Regge framework, emphasizing gauge invariance and the handling of rapidity divergences using a novel regularization method.

## Contribution

It introduces a gauge-invariant approach with tilted Wilson line regularization for computing one-loop corrections in Multi-Regge QCD processes, ensuring consistent divergence cancellation.

## Key findings

- Gauge invariance preserved at all calculation stages.
- Only single-logarithmic rapidity divergence remains.
- Effective vertices computed with a new regularization method.

## Abstract

The computation of one-loop corrections to the $\gamma^\star Q_+ q$ and $gR_+g$ effective vertices in the framework of gauge-invariant effective theory for Multi-Regge processes in QCD is reviewed. Due to consistent implementation of the "tilted Wilson line" regularization for rapidity divergences, the gauge-invariance has been preserved at all stages of calculation independently on the rapidity regulator and cancellation of the power-like dependence on the regularization variable is traced. Only single-logarithmic rapidity divergence is left in the final result.