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Title: Halo-independence with quantified maximum entropy at DAMA/LIBRA

Abstract

Using the DAMA/LIBRA anomaly as an example, we formalise the notion of halo-independence in the context of Bayesian statistics and quantified maximum entropy. We consider an infinite set of possible profiles, weighted by an entropic prior and constrained by a likelihood describing noisy measurements of modulated moments by DAMA/LIBRA. Assuming an isotropic dark matter (DM) profile in the galactic rest frame, we find the most plausible DM profiles and predictions for unmodulated signal rates at DAMA/LIBRA. The entropic prior contains an a priori unknown regularisation factor, β, that describes the strength of our conviction that the profile is approximately Maxwellian. By varying β, we smoothly interpolate between a halo-independent and a halo-dependent analysis, thus exploring the impact of prior information about the DM profile.

Authors:
 [1]
  1. ARC Centre of Excellence for Particle Physics at the Tera-scale, Monash University, Melbourne, Victoria 3800 (Australia)
Publication Date:
OSTI Identifier:
22667666
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; ENTROPY; FORECASTING; NONLUMINOUS MATTER; QUANTUM MECHANICS; STATISTICS

Citation Formats

Fowlie, Andrew, E-mail: andrew.j.fowlie@googlemail.com. Halo-independence with quantified maximum entropy at DAMA/LIBRA. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/10/002.
Fowlie, Andrew, E-mail: andrew.j.fowlie@googlemail.com. Halo-independence with quantified maximum entropy at DAMA/LIBRA. United States. doi:10.1088/1475-7516/2017/10/002.
Fowlie, Andrew, E-mail: andrew.j.fowlie@googlemail.com. Sun . "Halo-independence with quantified maximum entropy at DAMA/LIBRA". United States. doi:10.1088/1475-7516/2017/10/002.
@article{osti_22667666,
title = {Halo-independence with quantified maximum entropy at DAMA/LIBRA},
author = {Fowlie, Andrew, E-mail: andrew.j.fowlie@googlemail.com},
abstractNote = {Using the DAMA/LIBRA anomaly as an example, we formalise the notion of halo-independence in the context of Bayesian statistics and quantified maximum entropy. We consider an infinite set of possible profiles, weighted by an entropic prior and constrained by a likelihood describing noisy measurements of modulated moments by DAMA/LIBRA. Assuming an isotropic dark matter (DM) profile in the galactic rest frame, we find the most plausible DM profiles and predictions for unmodulated signal rates at DAMA/LIBRA. The entropic prior contains an a priori unknown regularisation factor, β, that describes the strength of our conviction that the profile is approximately Maxwellian. By varying β, we smoothly interpolate between a halo-independent and a halo-dependent analysis, thus exploring the impact of prior information about the DM profile.},
doi = {10.1088/1475-7516/2017/10/002},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 10,
volume = 2017,
place = {United States},
year = {Sun Oct 01 00:00:00 EDT 2017},
month = {Sun Oct 01 00:00:00 EDT 2017}
}