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Several methods to improve the parton-shower description of hard processes byan injection of matrix-element-based information have been presented over theyears. In this article we study (re)weighting schemes for the first/hardestemission. One objective is to provide a consistent matching of the POWHEGnext-to-leading order generator to the Pythia shower algorithms. Another is tocorrect the default behaviour of these showers at large transverse momenta,based on a comparison with real-emission matrix elements.

Improved Parton Showers at Large Transverse Momenta