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Title: Assessing compatibility of direct detection data: halo-independent global likelihood analyses

Abstract

We present two different halo-independent methods to assess the compatibility of several direct dark matter detection data sets for a given dark matter model using a global likelihood consisting of at least one extended likelihood and an arbitrary number of Gaussian or Poisson likelihoods. In the first method we find the global best fit halo function (we prove that it is a unique piecewise constant function with a number of down steps smaller than or equal to a maximum number that we compute) and construct a two-sided pointwise confidence band at any desired confidence level, which can then be compared with those derived from the extended likelihood alone to assess the joint compatibility of the data. In the second method we define a “constrained parameter goodness-of-fit” test statistic, whose p-value we then use to define a “plausibility region” (e.g. where p≥10%). For any halo function not entirely contained within the plausibility region, the level of compatibility of the data is very low (e.g. p<10%). We illustrate these methods by applying them to CDMS-II-Si and SuperCDMS data, assuming dark matter particles with elastic spin-independent isospin-conserving interactions or exothermic spin-independent isospin-violating interactions.

Authors:
 [1];  [2];  [1]
  1. Department of Physics and Astronomy, UCLA,475 Portola Plaza, Los Angeles, CA 90095 (United States)
  2. CERN Theory Division,CH-1211, Geneva 23 (Switzerland)
Publication Date:
Sponsoring Org.:
SCOAP3, CERN, Geneva (Switzerland)
OSTI Identifier:
22572166
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2016; Journal Issue: 10; Other Information: PUBLISHER-ID: JCAP10(2016)029; OAI: oai:repo.scoap3.org:17559; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPATIBILITY; ISOSPIN; NONLUMINOUS MATTER; PARTICLE IDENTIFICATION; PARTICLE INTERACTIONS; SI SEMICONDUCTOR DETECTORS; SUPERSYMMETRY; UNDERGROUND FACILITIES; WIMPS

Citation Formats

Gelmini, Graciela B., Huh, Ji-Haeng, and Witte, Samuel J. Assessing compatibility of direct detection data: halo-independent global likelihood analyses. United States: N. p., 2016. Web. doi:10.1088/1475-7516/2016/10/029.
Gelmini, Graciela B., Huh, Ji-Haeng, & Witte, Samuel J. Assessing compatibility of direct detection data: halo-independent global likelihood analyses. United States. doi:10.1088/1475-7516/2016/10/029.
Gelmini, Graciela B., Huh, Ji-Haeng, and Witte, Samuel J. Tue . "Assessing compatibility of direct detection data: halo-independent global likelihood analyses". United States. doi:10.1088/1475-7516/2016/10/029.
@article{osti_22572166,
title = {Assessing compatibility of direct detection data: halo-independent global likelihood analyses},
author = {Gelmini, Graciela B. and Huh, Ji-Haeng and Witte, Samuel J.},
abstractNote = {We present two different halo-independent methods to assess the compatibility of several direct dark matter detection data sets for a given dark matter model using a global likelihood consisting of at least one extended likelihood and an arbitrary number of Gaussian or Poisson likelihoods. In the first method we find the global best fit halo function (we prove that it is a unique piecewise constant function with a number of down steps smaller than or equal to a maximum number that we compute) and construct a two-sided pointwise confidence band at any desired confidence level, which can then be compared with those derived from the extended likelihood alone to assess the joint compatibility of the data. In the second method we define a “constrained parameter goodness-of-fit” test statistic, whose p-value we then use to define a “plausibility region” (e.g. where p≥10%). For any halo function not entirely contained within the plausibility region, the level of compatibility of the data is very low (e.g. p<10%). We illustrate these methods by applying them to CDMS-II-Si and SuperCDMS data, assuming dark matter particles with elastic spin-independent isospin-conserving interactions or exothermic spin-independent isospin-violating interactions.},
doi = {10.1088/1475-7516/2016/10/029},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}

Works referencing / citing this record:

Effects of threshold energy on reconstructions of properties of low-mass WIMPs in direct dark matter detection experiments
journal, July 2018

  • Bai, Yu; Sun, Weichao; Shan, Chung-Lin
  • International Journal of Modern Physics A, Vol. 33, Issue 20
  • DOI: 10.1142/s0217751x18501208