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Likelihood Approach to the First Dark Matter Results from XENON100

by XENON100 Collaboration , Cline, D , Gross, E , Thers, D , Vitells, O , Weinheimer, C , K -L Giboni , Weber, M , Aprile, E , Oberlack, U , Arisaka, K , Brown, E , Choi, B , Melgarejo Fernandez, A J , Pantic, E , Lamblin, J , T Marrodán Undagoitia , Lim, K E , Santorelli, R , Baudis, L , Cardoso, J M R , Wang, H , Lopes, J A M , Ribeiro, A C C , Behrens, A , Bokeloh, K , J M F dos Santos , Lam, C W , Lindemann, S , Ferella, A D , Askin, A , Tziaferi, E , Fattori, S , Bruch, T , Mei, Y , K Ni , Arneodo, F , Duchovni, E , Orrigo, S E A , Shagin, P , Lang, R F , Lindner, M , Schumann, M , Teymourian, A , Plante, G , Kish, A

in Computer simulation / Dark matter / Elastic limit / Elastic scattering / Likelihood ratio / Scattering cross sections / Statistical analysis / Statistical models / Uncertainty / Weakly interacting massive particles

2011

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Likelihood Approach to the First Dark Matter Results from XENON100

2011

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Likelihood Approach to the First Dark Matter Results from XENON100

2011

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Paper

Likelihood Approach to the First Dark Matter Results from XENON100

XENON100 Collaboration,

Cline, D,

Gross, E,

Thers, D,

Vitells, O,

Weinheimer, C,

K -L Giboni,

Weber, M,

Aprile, E,

Oberlack, U,

Arisaka, K,

Brown, E,

Choi, B,

Melgarejo Fernandez, A J,

Pantic, E,

Lamblin, J,

T Marrodán Undagoitia,

Lim, K E,

Santorelli, R,

Baudis, L,

Cardoso, J M R,

Wang, H,

Lopes, J A M,

Ribeiro, A C C,

Behrens, A,

Bokeloh, K,

J M F dos Santos,

Lam, C W,

Lindemann, S,

Ferella, A D,

Askin, A,

Tziaferi, E,

Fattori, S,

Bruch, T,

Mei, Y,

K Ni,

Arneodo, F,

Duchovni, E,

Orrigo, S E A,

Shagin, P,

Lang, R F,

Lindner, M,

Schumann, M,

Teymourian, A,

Plante, G,

Kish, A

2011

Overview

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 make a discovery claim, and the results are derived with a proper treatment of statistical and systematic uncertainties. We apply the model to the first data release of the XENON100 experiment, which allows to extract additional information from the data, and place stronger limits on the spin-independent elastic WIMP-nucleon scattering cross-section. In particular, we derive a single limit, including all relevant systematic uncertainties, with a minimum of 2.4x10^-44 cm^2 for WIMPs with a mass of 50 GeV/c^2.

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Publisher

Cornell University Library, arXiv.org

Subject

/ Scattering cross sections

/ Statistical analysis