ME-PS matching in the simulation of multi-jet production in hadron collisions using a subtraction method

TL;DR

This paper extends a subtraction-based matching method between matrix elements and parton showers to multi-jet production in hadron collisions, effectively handling divergences and enabling consistent combination of multiple jet processes.

Contribution

It introduces an approximation to handle soft and collinear divergences for multi-jet matrix elements within the subtraction method, enabling accurate matching in complex jet scenarios.

Findings

Successfully combined W + 0, 1, and 2 jet processes.

Extended the subtraction method to multi-jet production.

Demonstrated consistent matching in hadron collision simulations.

Abstract

The subtraction method for the matching between the matrix element (ME) and parton shower (PS), that has been developed for combining 0-jet and 1-jet production processes in association with electroweak-boson production in hadron collisions, is extended to multi-jet production. In order to include multi-jet MEs, we have to address the soft-gluon divergence together with the collinear divergence. We introduce an approximation which simultaneously reproduces both divergences in a form suitable for application to our subtraction method. The alteration in the subtraction can be compensated by applying an appropriate correction to corresponding non-radiative events. We demonstrate that $W$ + 0, 1, and 2 jet production processes can be consistently combined using the developed matching method.