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

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