A Demonstration of ARCANE Reweighting: Reducing the Sign Problem in the MC@NLO Generation of $e^+ e^- \rightarrow q \bar{q} + 1\, jet$ Events

TL;DR

This paper demonstrates ARCANE reweighting, a novel method that significantly reduces negative weights in Monte Carlo event generation for particle collisions, improving computational efficiency in collider experiments.

Contribution

The paper applies ARCANE reweighting to NLO $e^+ e^- ightarrow q ar{q} + 1\, jet$ events, showing it nearly eliminates negative weights in this process.

Findings

Negative weights are significantly reduced using ARCANE reweighting.

The technique improves computational efficiency in event simulation.

Potential for broader application in collider event generation.

Abstract

Negatively weighted events, which appear in the simulation of particle collisions, significantly increase the computational requirements of collider experiments. A new technique called ARCANE reweighting has been introduced in a companion paper to tackle this problem. This paper demonstrates the technique for the next-to-leading-order generation of $e^+ e^- \rightarrow q \bar{q} + 1\, jet$ events. By redistributing the contributions of "standard" and "hard remainder" pathways in the generator that lead to the same final event, ARCANE reweighting almost completely eliminates the negative weights problem for this process. Some thoughts on implementing the technique in other scenarios are provided.