@article{e072244d020248629cd4caf438de8f85,
title = "An approximate likelihood for nuclear recoil searches with XENON1T data",
abstract = "The XENON collaboration has published stringent limits on specific dark matter – nucleon recoil spectra from dark matter recoiling on the liquid xenon detector target. In this paper, we present an approximate likelihood for the XENON1T 1 t-year nuclear recoil search applicable to any nuclear recoil spectrum. Alongside this paper, we publish data and code to compute upper limits using the method we present. The approximate likelihood is constructed in bins of reconstructed energy, profiled along the signal expectation in each bin. This approach can be used to compute an approximate likelihood and therefore most statistical results for any nuclear recoil spectrum. Computing approximate results with this method is approximately three orders of magnitude faster than the likelihood used in the original publications of XENON1T, where limits were set for specific families of recoil spectra. Using this same method, we include toy Monte Carlo simulation-derived binwise likelihoods for the upcoming XENONnT experiment that can similarly be used to assess the sensitivity to arbitrary nuclear recoil signatures in its eventual 20 t-year exposure.",
author = "XENON Collaboration and E. Aprile and K. Abe and F. Agostini and {Ahmed Maouloud}, S. and M. Alfonsi and L. Althueser and B. Andrieu and E. Angelino and Angevaare, {J. R.} and Antochi, {V. C.} and {Ant{\'o}n Martin}, D. and F. Arneodo and L. Baudis and Baxter, {A. L.} and L. Bellagamba and R. Biondi and A. Bismark and A. Brown and S. Bruenner and G. Bruno and R. Budnik and C. Capelli and Cardoso, {J. M.R.} and D. Cichon and B. Cimmino and M. Clark and Colijn, {A. P.} and J. Conrad and Cuenca-Garc{\'i}a, {J. J.} and Cussonneau, {J. P.} and V. D{\textquoteright}Andrea and Decowski, {M. P.} and {Di Gangi}, P. and {Di Pede}, S. and {Di Giovanni}, A. and {Di Stefano}, R. and S. Diglio and A. Elykov and S. Farrell and Ferella, {A. D.} and H. Fischer and W. Fulgione and P. Gaemers and R. Gaior and M. Galloway and F. Gao and R. Glade-Beucke and L. Grandi and J. Grigat and A. Higuera",
note = "Funding Information: We gratefully acknowledge support from the National Science Foundation, Swiss National Science Foundation, German Ministry for Education and Research, Max Planck Gesellschaft, Deutsche Forschungsgemeinschaft, Helmholtz Association, Dutch Research Council (NWO), Weizmann Institute of Science, Israeli Science Foundation, Fundacao para a Ciencia e a Tecnologia, R{\'e}gion des Pays de la Loire, Knut and Alice Wallenberg Foundation, Kavli Foundation, JSPS Kakenhi in Japan and Istituto Nazionale di Fisica Nucleare. This project has received funding/support from the European Union{\textquoteright}s Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-Curie grant agreement No 860881-HIDDeN. Data processing is performed using infrastructures from the Open Science Grid, the European Grid Initiative and the Dutch national e-infrastructure with the support of SURF Cooperative. We are grateful to Laboratori Nazionali del Gran Sasso for hosting and supporting the XENON project. Publisher Copyright: {\textcopyright} 2022, The Author(s).",
year = "2022",
month = nov,
doi = "10.1140/epjc/s10052-022-10913-w",
language = "English (US)",
volume = "82",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer New York",
number = "11",
}