Abstract
We present the computational framework Matrix (http://matrix.hepforge.org/) which allows us to evaluate fully differential cross sections for a wide class of processes at hadron colliders in next-to-next-to-leading order (NNLO) QCD. The processes we consider are \(2\rightarrow 1\) and \(2\rightarrow 2\) hadronic reactions involving Higgs and vector bosons in the final state. All possible leptonic decay channels of the vector bosons are included for the first time in the calculations, by consistently accounting for all resonant and non-resonant diagrams, off-shell effects and spin correlations. We briefly introduce the theoretical framework Matrix is based on, discuss its relevant features and provide a detailed description of how to use Matrix to obtain NNLO accurate results for the various processes. We report reference predictions for inclusive and fiducial cross sections of all the physics processes considered here and discuss their corresponding uncertainties. Matrix features an automatic extrapolation procedure that allows us, for the first time, to control the systematic uncertainties inherent to the applied NNLO subtraction procedure down to the few permille level (or better).
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Matrix. http://matrix.hepforge.org/
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Acknowledgements
We are grateful to Dirk Rathlev for his contributions at the beginning of the Matrix project. We would like to thank Stefano Catani for comments on the manuscript and Alexander Huss for providing cross checks for the Drell–Yan processes with NNLOjet. We are indebted to Jonas Lindert, Philipp Maierhöfer and Stefano Pozzorini for their continuous support on OpenLoops. We thank Thomas Gehrmann, Andreas von Manteuffel and Lorenzo Tancredi for providing us with private implementations of the two-loop amplitudes to on-shell W+W− and ZZ production. This research was supported in part by the Munich Institute for Astro- and Particle Physics (MIAPP) of the DFG cluster of excellence “Origin and Structure of the Universe“, by the Swiss National Science Foundation (SNF) under contracts CRSII2-141847, 200020-169041 and by the Research Executive Agency (REA) of the European Union under the Grant Agreement number PITN–GA–2012–316704 (HiggsTools). The work of MW is supported by the ERC Consolidator Grant 614577 HICCUP.
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Grazzini, M., Kallweit, S. & Wiesemann, M. Fully differential NNLO computations with MATRIX. Eur. Phys. J. C 78, 537 (2018). https://doi.org/10.1140/epjc/s10052-018-5771-7
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DOI: https://doi.org/10.1140/epjc/s10052-018-5771-7