What is the probability that direct detection experiments have observed Dark Matter?

Abstract

In Dark Matter direct detection we are facing the situation of some experiments reporting positive signals which are in conflict with limits from other experiments. Such conclusions are subject to large uncertainties introduced by the poorly known local Dark Matter distribution. We present a method to calculate an upper bound on the joint probability of obtaining the outcome of two potentially conflicting experiments under the assumption that the Dark Matter hypothesis is correct, but completely independent of assumptions about the Dark Matter distribution. In this way we can quantify the compatibility of two experiments in an astrophysics independent way. We illustrate our method by testing the compatibility of the hints reported by DAMA and CDMS-Si with the limits from the LUX and SuperCDMS experiments. The method does not require Monte Carlo simulations but is mostly based on using Poisson statistics. In order to deal with signals of few events we introduce the so-called "signal length" to take into account energy information. The signal length method provides a simple way to calculate the probability to obtain a given experimental outcome under a specified Dark Matter and background hypothesis.

arXiv comment23 pages, 7 figures, v2: version accepted for publication in JCAP, added section 6

References in corpus (42)

• First results from the LUX dark matter experiment at the Sanford Underground Research Facility
• Dark Matter Results from 225 Live Days of XENON100 Data
• New results from DAMA/LIBRA
• Results from the Final Exposure of the CDMS II Experiment
• Results from a Search for Light-Mass Dark Matter with a P-type Point Contact Germanium Detector
• Results from 730 kg days of the CRESST-II Dark Matter Search
• Final model independent result of DAMA/LIBRA-phase1
• Search for Low-Mass WIMPs with SuperCDMS
• Search for an Annual Modulation in a P-type Point Contact Germanium Dark Matter Detector
• A search for light dark matter in XENON10 data
• Results from a Low-Energy Analysis of the CDMS II Germanium Data
• CoGeNT: A Search for Low-Mass Dark Matter using p-type Point Contact Germanium Detectors
• Limits on spin-independent WIMP-nucleon interactions from the two-tower run of the Cryogenic Dark Matter Search
• Finding an Upper Limit in the Presence of Unknown Background
• Isospin-Violating Dark Matter
• CoGeNT Interpretations
• New Limits on Interactions between Weakly Interacting Massive Particles and Nucleons Obtained with CsI(Tl) Crystal Detectors
• Integrating Out Astrophysical Uncertainties
• Resolving astrophysical uncertainties in dark matter direct detection
• WIMP-nucleus scattering in chiral effective theory
• The unbearable lightness of being: CDMS versus XENON
• Interpreting Dark Matter Direct Detection Independently of the Local Velocity and Density Distribution
• Halo independent comparison of direct dark matter detection data
• Astrophysics independent bounds on the annual modulation of dark matter signals
• Generalized Halo Independent Comparison of Direct Dark Matter Detection Data
• Dark Matter attempts for CoGeNT and DAMA
• Halo-independent methods for inelastic dark matter scattering
• DAMA and CoGeNT without astrophysical uncertainties
• Anisotropic dark matter distribution functions and impact on WIMP direct detection
• Halo-independent analysis of direct detection data for light WIMPs
• A new halo-independent approach to dark matter direct detection analysis
• Search for An Annual Modulation in Three Years of CoGeNT Dark Matter Detector Data
• Taking Halo-Independent Dark Matter Methods Out of the Bin
• Observational constraints on a holographic, interacting dark energy model
• Shining LUX on Isospin-Violating Dark Matter Beyond Leading Order
• Update on Light WIMP Limits: LUX, lite and Light
• Quantifying (dis)agreement between direct detection experiments in a halo-independent way
• Halo Independent Direct Detection of Momentum-Dependent Dark Matter
• Statistical Issues in Astrophysical Searches for Particle Dark Matter
• Quantifying the evidence for Dark Matter in CoGeNT data
• Maximum Likelihood Signal Extraction Method Applied to 3.4 years of CoGeNT Data
• On the annual modulation signal in dark matter direct detection

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• Halo-independent determination of the unmodulated WIMP signal in DAMA: the isotropic case
• Limits on the flux of nuclearites and other heavy compact objects from the "Pi of the Sky" project
• Pinning down inelastic dark matter in the Sun and in direct detection
• Assessing Compatibility of Direct Detection Data: Halo-Independent Global Likelihood Analyses
• Halo-independent comparison of direct detection experiments in the effective theory of dark matter-nucleon interactions
• Extended Maximum Likelihood Halo-independent Analysis of Dark Matter Direct Detection Data
• Halo-independent tests of dark matter annual modulation signals
• Halo-Independent Analysis of Direct Dark Matter Detection Through Electron Scattering
• On the importance of direct detection combined limits for spin independent and spin dependent dark matter interactions
• Updated Constraints on the Dark Matter Interpretation of CDMS-II-Si Data
• Direct Detection Anomalies in light of $Gaia$ Data
• Halo-Independent Dark Matter Electron Scattering Analysis with In-Medium Effects
• Halo-independent bounds on the non-relativistic effective theory of WIMP-nucleon scattering from direct detection and neutrino observations
• A halo-independent lower bound on the dark matter capture rate in the Sun from a direct detection signal
• Halo-independent bounds on Inelastic Dark Matter
• Sensitivity of WIMP bounds on the velocity distribution in the limit of a massless mediator
• Information divergences to parametrize astrophysical uncertainties in dark matter direct detection
• Halo-Independent analysis of direct dark matter detection data for any WIMP interaction
• Information-theoretic astrophysical uncertainties in the effective theory of dark matter direct detection