Likelihood approach to the first dark matter results from XENON100

E. Aprile, K. Arisaka, Francesco Arneodo, A. Askin, L. Baudis, A. Behrens, K. Bokeloh, E. Brown, T. Bruch, J. M.R. Cardoso, B. Choi, D. Cline, E. Duchovni, S. Fattori, A. D. Ferella, K. L. Giboni, E. Gross, A. Kish, C. W. Lam, J. Lamblin & 25 others R. F. Lang, K. E. Lim, S. Lindemann, M. Lindner, J. A.M. Lopes, T. Marrodán Undagoitia, Y. Mei, A. J. Melgarejo Fernandez, K. Ni, U. Oberlack, S. E.A. Orrigo, E. Pantic, G. Plante, A. C.C. Ribeiro, R. Santorelli, J. M.F. Dos Santos, M. Schumann, P. Shagin, A. Teymourian, D. Thers, E. Tziaferi, O. Vitells, H. Wang, M. Weber, C. Weinheimer

    Research output: Contribution to journalArticle

    Abstract

    Many experiments that aim at the direct detection of dark matter are able to distinguish a dominant background from the expected feeble signals, based on some measured discrimination parameter. We develop a statistical model for such experiments using the profile likelihood ratio as a test statistic in a frequentist approach. We take data from calibrations as control measurements for signal and background, and the method allows the inclusion of data from Monte Carlo simulations. Systematic detector uncertainties, such as uncertainties in the energy scale, as well as astrophysical uncertainties, are included in the model. The statistical model can be used to either set an exclusion limit or to quantify a discovery claim, and the results are derived with the proper treatment of statistical and systematic uncertainties. We apply the model to the first data release of the XENON100 experiment, which allows one to extract additional information from the data, and place stronger limits on the spin-independent elastic weakly interacting massive particles nucleon scattering cross section. In particular, we derive a single limit, including all relevant systematic uncertainties, with a minimum of 2.4×10-44cm2 for weakly interacting massive particles with a mass of 50GeV/c2.

    Original languageEnglish (US)
    Article number052003
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume84
    Issue number5
    DOIs
    StatePublished - Sep 7 2011

    Fingerprint

    dark matter
    weakly interacting massive particles
    likelihood ratio
    exclusion
    scattering cross sections
    discrimination
    astrophysics
    statistics
    inclusions
    detectors
    profiles
    simulation
    energy

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)

    Cite this

    Aprile, E., Arisaka, K., Arneodo, F., Askin, A., Baudis, L., Behrens, A., ... Weinheimer, C. (2011). Likelihood approach to the first dark matter results from XENON100. Physical Review D - Particles, Fields, Gravitation and Cosmology, 84(5), [052003]. https://doi.org/10.1103/PhysRevD.84.052003

    Likelihood approach to the first dark matter results from XENON100. / Aprile, E.; Arisaka, K.; Arneodo, Francesco; Askin, A.; Baudis, L.; Behrens, A.; Bokeloh, K.; Brown, E.; Bruch, T.; Cardoso, J. M.R.; Choi, B.; Cline, D.; Duchovni, E.; Fattori, S.; Ferella, A. D.; Giboni, K. L.; Gross, E.; Kish, A.; Lam, C. W.; Lamblin, J.; Lang, R. F.; Lim, K. E.; Lindemann, S.; Lindner, M.; Lopes, J. A.M.; Marrodán Undagoitia, T.; Mei, Y.; Melgarejo Fernandez, A. J.; Ni, K.; Oberlack, U.; Orrigo, S. E.A.; Pantic, E.; Plante, G.; Ribeiro, A. C.C.; Santorelli, R.; Dos Santos, J. M.F.; Schumann, M.; Shagin, P.; Teymourian, A.; Thers, D.; Tziaferi, E.; Vitells, O.; Wang, H.; Weber, M.; Weinheimer, C.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 84, No. 5, 052003, 07.09.2011.

    Research output: Contribution to journalArticle

    Aprile, E, Arisaka, K, Arneodo, F, Askin, A, Baudis, L, Behrens, A, Bokeloh, K, Brown, E, Bruch, T, Cardoso, JMR, Choi, B, Cline, D, Duchovni, E, Fattori, S, Ferella, AD, Giboni, KL, Gross, E, Kish, A, Lam, CW, Lamblin, J, Lang, RF, Lim, KE, Lindemann, S, Lindner, M, Lopes, JAM, Marrodán Undagoitia, T, Mei, Y, Melgarejo Fernandez, AJ, Ni, K, Oberlack, U, Orrigo, SEA, Pantic, E, Plante, G, Ribeiro, ACC, Santorelli, R, Dos Santos, JMF, Schumann, M, Shagin, P, Teymourian, A, Thers, D, Tziaferi, E, Vitells, O, Wang, H, Weber, M & Weinheimer, C 2011, 'Likelihood approach to the first dark matter results from XENON100', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 84, no. 5, 052003. https://doi.org/10.1103/PhysRevD.84.052003
    Aprile, E. ; Arisaka, K. ; Arneodo, Francesco ; Askin, A. ; Baudis, L. ; Behrens, A. ; Bokeloh, K. ; Brown, E. ; Bruch, T. ; Cardoso, J. M.R. ; Choi, B. ; Cline, D. ; Duchovni, E. ; Fattori, S. ; Ferella, A. D. ; Giboni, K. L. ; Gross, E. ; Kish, A. ; Lam, C. W. ; Lamblin, J. ; Lang, R. F. ; Lim, K. E. ; Lindemann, S. ; Lindner, M. ; Lopes, J. A.M. ; Marrodán Undagoitia, T. ; Mei, Y. ; Melgarejo Fernandez, A. J. ; Ni, K. ; Oberlack, U. ; Orrigo, S. E.A. ; Pantic, E. ; Plante, G. ; Ribeiro, A. C.C. ; Santorelli, R. ; Dos Santos, J. M.F. ; Schumann, M. ; Shagin, P. ; Teymourian, A. ; Thers, D. ; Tziaferi, E. ; Vitells, O. ; Wang, H. ; Weber, M. ; Weinheimer, C. / Likelihood approach to the first dark matter results from XENON100. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2011 ; Vol. 84, No. 5.
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    abstract = "Many experiments that aim at the direct detection of dark matter are able to distinguish a dominant background from the expected feeble signals, based on some measured discrimination parameter. We develop a statistical model for such experiments using the profile likelihood ratio as a test statistic in a frequentist approach. We take data from calibrations as control measurements for signal and background, and the method allows the inclusion of data from Monte Carlo simulations. Systematic detector uncertainties, such as uncertainties in the energy scale, as well as astrophysical uncertainties, are included in the model. The statistical model can be used to either set an exclusion limit or to quantify a discovery claim, and the results are derived with the proper treatment of statistical and systematic uncertainties. We apply the model to the first data release of the XENON100 experiment, which allows one to extract additional information from the data, and place stronger limits on the spin-independent elastic weakly interacting massive particles nucleon scattering cross section. In particular, we derive a single limit, including all relevant systematic uncertainties, with a minimum of 2.4×10-44cm2 for weakly interacting massive particles with a mass of 50GeV/c2.",
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    T1 - Likelihood approach to the first dark matter results from XENON100

    AU - Aprile, E.

    AU - Arisaka, K.

    AU - Arneodo, Francesco

    AU - Askin, A.

    AU - Baudis, L.

    AU - Behrens, A.

    AU - Bokeloh, K.

    AU - Brown, E.

    AU - Bruch, T.

    AU - Cardoso, J. M.R.

    AU - Choi, B.

    AU - Cline, D.

    AU - Duchovni, E.

    AU - Fattori, S.

    AU - Ferella, A. D.

    AU - Giboni, K. L.

    AU - Gross, E.

    AU - Kish, A.

    AU - Lam, C. W.

    AU - Lamblin, J.

    AU - Lang, R. F.

    AU - Lim, K. E.

    AU - Lindemann, S.

    AU - Lindner, M.

    AU - Lopes, J. A.M.

    AU - Marrodán Undagoitia, T.

    AU - Mei, Y.

    AU - Melgarejo Fernandez, A. J.

    AU - Ni, K.

    AU - Oberlack, U.

    AU - Orrigo, S. E.A.

    AU - Pantic, E.

    AU - Plante, G.

    AU - Ribeiro, A. C.C.

    AU - Santorelli, R.

    AU - Dos Santos, J. M.F.

    AU - Schumann, M.

    AU - Shagin, P.

    AU - Teymourian, A.

    AU - Thers, D.

    AU - Tziaferi, E.

    AU - Vitells, O.

    AU - Wang, H.

    AU - Weber, M.

    AU - Weinheimer, C.

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