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Statistical coverage for supersymmetric parameter estimation : a case study with direct detection of dark matter
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- Akrami, Yashar, 1980- (author)
- Stockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC),Cosmology, Particle Astrophysics and String Theory
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- Savage, Christopher (author)
- Stockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC),Cosmology, Particle Astrophysics and String Theory
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- Scott, Pat (author)
- Stockholms universitet,Fysikum,Oskar Klein-centrum för kosmopartikelfysik (OKC),Cosmology, Particle Astrophysics and String Theory
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- (creator_code:org_t)
- 2011-07-04
- 2011
- English.
- In: Journal of Cosmology and Astroparticle Physics. - : IOP Publishing. - 1475-7516. ; :7, s. 002-
- Journal article (peer-reviewed)
Abstract
Subject headings
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- Models of weak-scale supersymmetry offer viable dark matter (DM) candidates. Their parameter spaces are however rather large and complex, such that pinning down the actual parameter values from experimental data can depend strongly on the employed statistical framework and scanning algorithm. In frequentist parameter estimation, a central requirement for properly constructed confidence intervals is that they cover true parameter values, preferably at exactly the stated confidence level when experiments are repeated infinitely many times. Since most widely-used scanning techniques are optimised for Bayesian statistics, one needs to assess their abilities in providing correct confidence intervals in terms of the statistical coverage. Here we investigate this for the Constrained Minimal Supersymmetric Standard Model (CMSSM) when only constrained by data from direct searches for dark matter. We construct confidence intervals from one-dimensional profile likelihoods and study the coverage by generating several pseudo-experiments for two benchmark sets of pseudo-true parameters. We use nested sampling to scan the parameter space and evaluate the coverage for the two benchmarks when either flat or logarithmic priors are imposed on gaugino and scalar mass parameters. We observe both under- and over-coverage, which in some cases vary quite dramatically when benchmarks or priors are modified. We show how most of the variation can be explained as the impact of explicit and implicit priors, where the latter are indirectly imposed by physicality conditions. For comparison, we also evaluate the coverage for Bayesian credible intervals, and (predictably) observe significant under-coverage in those cases.
Subject headings
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Astronomi, astrofysik och kosmologi (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Astronomy, Astrophysics and Cosmology (hsv//eng)
Keyword
- dark matter theory
- dark matter experiments
- cosmology of theories beyond the SM
- supersymmetry and cosmology
- Astroparticle physics
- Astropartikelfysik
- Cosmology
- Kosmologi
- Astroparticle physics
- Astropartikelfysik
- teoretisk fysik
- Theoretical Physics
- High Energy Physics
- högenergifysik
- teoretisk astrofysik
- Theoretical Astrophysics
Publication and Content Type
- ref (subject category)
- art (subject category)
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