Conceptual design and simulation of a water Cherenkov muon veto for the XENON1T experiment

XENON is a direct detection dark matter project, consisting of a time projection chamber (TPC) that uses xenon in double phase as a sensitive detection medium. XENON100, located at the Laboratori Nazionali del Gran Sasso (LNGS) in Italy, is one of the most sensitive experiments of its field. During the operation of XENON100, the design and construction of the next generation detector (of ton-scale mass) of the XENON project, XENON1T, is taking place. XENON1T is being installed at LNGS as well. It has the goal to reduce the background by two orders of magnitude compared to XENON100, aiming at a sensitivity of $2 \cdot 10^{-47} \mathrm{cm}^{\mathrm{2}}$ for a WIMP mass of 50 GeV/c$^{2}$. With this goal, an active system that is able to tag muons and their induced backgrounds is crucial. This active system will consist of a water Cherenkov detector realized with a water volume $\sim$10 m high and $\sim$10 m in diameter, equipped with photomultipliers of 8 inches diameter and a reflective foil. In this paper we present the design and optimization study for this muon veto water Cherenkov detector, which has been carried out with a series of Monte Carlo simulations, based on the GEANT4 toolkit. This study showed the possibility to reach very high detection efficiencies in tagging the passage of both the muon and the shower of secondary particles coming from the interaction of the muon in the rock: >99.5% for the former type of events (which represent $\sim$ 1/3 of all the cases) and >70% for the latter type of events (which represent $\sim$ 2/3 of all the cases). In view of the upgrade of XENON1T, that will aim to an improvement in sensitivity of one order of magnitude with a rather easy doubling of the xenon mass, the results of this study have been verified in the upgraded geometry, obtaining the same conclusions.