Statistical Issues in Astrophysical Searches for Particle Dark Matter
arXiv:1407.6617 · doi:10.1016/j.astropartphys.2014.09.003
Abstract
In this review statistical issues appearing in astrophysical searches for particle dark matter, i.e. indirect detection (dark matter annihilating into standard model particles) or direct detection (dark matter particles scattering in deep underground detectors) are discussed. One particular aspect of these searches is the presence of very large uncertainties in nuisance parameters (astrophysical factors) that are degenerate with parameters of interest (mass and annihilation/decay cross sections for the particles). The likelihood approach has become the most powerful tool, offering at least one well motivated method for incorporation of nuisance parameters and increasing the sensitivity of experiments by allowing a combination of targets superior to the more traditional data stacking. Other statistical challenges appearing in astrophysical searches are to large extent similar to any new physics search, for example at colliders, a prime example being the calculation of trial factors. Frequentist methods prevail for hypothesis testing and interval estimation, Bayesian methods are used for assessment of nuisance parameters and parameter estimation in complex parameter spaces. The basic statistical concepts will be exposed, illustrated with concrete examples from experimental searches and caveats will be pointed out.
arXiv commentInvited review, 38 pages, 9 figures, refereed version to match publication
References in corpus (36)
- Asymptotic formulae for likelihood-based tests of new physics
- A Unified Approach to the Classical Statistical Analysis of Small Signals
- MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
- Bayes in the sky: Bayesian inference and model selection in cosmology
- Statistics: Handle with Care, Detecting Multiple Model Components with the Likelihood Ratio Test
- Limits and Confidence Intervals in the Presence of Nuisance Parameters
- Constraining Dark Matter Models from a Combined Analysis of Milky Way Satellites with the Fermi Large Area Telescope
- Dark Matter Constraints from Observations of 25 Milky Way Satellite Galaxies with the Fermi Large Area Telescope
- Trial factors for the look elsewhere effect in high energy physics
- A Tentative Gamma-Ray Line from Dark Matter Annihilation at the Fermi Large Area Telescope
- Exclusion of canonical WIMPs by the joint analysis of Milky Way dwarfs with Fermi
- Finding an Upper Limit in the Presence of Unknown Background
- Including Systematic Uncertainties in Confidence Interval Construction for Poisson Statistics
- Constraints on the Galactic Halo Dark Matter from Fermi-LAT Diffuse Measurements
- The impact of priors and observables on parameter inferences in the Constrained MSSM
- Dark Matter Evidence, Particle Physics Candidates and Detection Methods
- Search for Dark Matter Satellites using the FERMI-LAT
- The Most Dark Matter Dominated Galaxies: Predicted Gamma-ray Signals from the Faintest Milky Way Dwarfs
- Likelihood Approach to the First Dark Matter Results from XENON100
- Indirect Dark Matter Detection from Dwarf Satellites: Joint Expectations from Astrophysics and Supersymmetry
- A Robust Determination of Milky Way Satellite Properties using Hierarchical Mass Modeling
- A Profile Likelihood Analysis of the Constrained MSSM with Genetic Algorithms
- Challenges of Profile Likelihood Evaluation in Multi-Dimensional SUSY Scans
- Global fits of the dark matter-nucleon effective interactions
- Reconstructing WIMP Properties in Direct Detection Experiments Including Galactic Dark Matter Distribution Uncertainties
- Can Astrophysical Gamma Ray Sources Mimic Dark Matter Annihilation in Galactic Satellites?
- A model-independent analysis of the Fermi Large Area Telescope gamma-ray data from the Milky Way dwarf galaxies and halo to constrain dark matter scenarios
- Model independent determination of the dark matter mass from direct detection experiments
- Gamma-ray Lines in the Fermi Data: is it a Bubble?
- Optimized analysis method for indirect dark matter searches with Imaging Air Cherenkov Telescopes
- On Bayesian Treatment of Systematic Uncertainties in Confidence Interval Calculation
- Parametrizing the local dark matter speed distribution: a detailed analysis
- Handling Systematic Uncertainties and Combined Source Analyses for Atmospheric Cherenkov Telescopes
- Another Look at Confidence Intervals: Proposal for a More Relevant and Transparent Approach
- Extending the optimum interval method
- Some ways of combining optimum interval upper limits
Cited by in corpus (35)
- Physics reach of the XENON1T dark matter experiment
- Dark matter direct-detection experiments
- A Comprehensive Search for Dark Matter Annihilation in Dwarf Galaxies
- Stochastic fluctuations of bosonic dark matter
- Indirect dark matter searches in Gamma- and Cosmic Rays
- WIMP searches with gamma rays in the Fermi era: challenges, methods and results
- Dark matter substructure modelling and sensitivity of the Cherenkov Telescope Array to Galactic dark halos
- Search for Gamma-Ray Lines towards Galaxy Clusters with the Fermi-LAT
- Indirect Dark Matter Detection for Flattened Dwarf Galaxies
- What is the probability that direct detection experiments have observed Dark Matter?
- Global limits and interference patterns in dark matter direct detection
- Cosmic-Ray Positrons Strongly Constrain Leptophilic Dark Matter
- Search for Gamma-ray Spectral Lines from Dark Matter Annihilation up to 100 TeV towards the Galactic Center with MAGIC
- Dark matter signals at neutrino telescopes in effective theories
- Prospects for annihilating Dark Matter towards Milky Way's dwarf galaxies by the Cherenkov Telescope Array
- Sensitivity of the Cherenkov Telescope Array to spectral signatures of hadronic PeVatrons with application to Galactic Supernova Remnants
- A method for comparing non-nested models with application to astrophysical searches for new physics
- On methods for correcting for the look-elsewhere effect in searches for new physics
- Sensitivity of the Cherenkov Telescope Array to dark subhalos
- Inclusive cross section measurements in final states with and without protons for charged-current -Ar scattering in MicroBooNE
- Cherenkov Telescope Array sensitivity to branon dark matter models
- Testing the dark matter subhalo hypothesis of the gamma-ray source 3FGL J2212.5+0703
- New Projections for Dark Matter Searches with Paleo-Detectors
- Testing One Hypothesis Multiple Times: The Multidimensional Case
- Dwarf spheroidal -factor likelihoods for generalized NFW profiles
- Significance in Gamma Ray Astronomy with Systematic Errors
- Gamma-ray and Synchrotron Radiation from Dark Matter annihilations in Ultra-faint Dwarf Galaxies
- Revisiting GeV-scale annihilating dark matter with the AMS-02 positron fraction
- Signal estimation in On/Off measurements including event-by-event variables
- AMS-02 antiprotons and dark matter: Trimmed hints and robust bounds
- view of the sunrise: Boosting helioscopes with angular information
- Data-driven model validation for neutrino-nucleus cross section measurements
- Recasting and Forecasting Dark Matter Limits Without Raw Data: A Generalized Algorithm for Gamma-Ray Telescopes
- Projected Sensitivity of Paleo-Detectors to Dark Matter Effective Interactions with Nuclei
- Revising Indirect Dark Matter Constraints with Updated Astrophysical -Factor Priors