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Title: Likelihood Methods for CMB Experiments

Abstract

A great deal of experimental effort is currently being devoted to the precise measurements of the cosmic microwave background (CMB) sky in temperature and polarization. Satellites, balloon-borne, and ground-based experiments scrutinize the CMB sky at multiple scales, and therefore enable to investigate not only the evolution of the early Universe, but also its late-time physics with unprecedented accuracy. The pipeline leading from time ordered data as collected by the instrument to the final product is highly structured. Moreover, it has also to provide accurate estimates of statistical and systematic uncertainties connected to the specific experiment. In this paper, we review likelihood approaches targeted to the analysis of the CMB signal at different scales, and to the estimation of key cosmological parameters. We consider methods that analyze the data in the spatial (i.e., pixel-based) or harmonic domain. We highlight the most relevant aspects of each approach and compare their performance.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [8];  [9]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). HEP Division
  2. Istituto Nazionale di Fisica Nucleare (INFN), Ferrara (Italy)
  3. Univ. degli Studi di Roma Tor Vergata (Italy)
  4. Univ. degli Studi di Ferrara (Italy); National Inst. of Nuclear Physics (INFN), Ferrara (Italy)
  5. Centre National de la Recherche Scientifique (CNRS), Orsay (France). Inst. d’Astrophysique Spatiale
  6. Univ. degli Studi di Milano (Italy). Dipartimento di Fisica
  7. Istituto Nazionale di Astrofisica (INAF), Bologna (Italy)
  8. Univ. degli Studi di Ferrara (Italy)
  9. Space Science Data Center, Roma (Italy)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)
Contributing Org.:
Istituto Nazionale di Fisica Nucleare Sezione di Ferrara (INFN Ferrara)
OSTI Identifier:
1632323
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Frontiers in Physics
Additional Journal Information:
Journal Volume: 8; Journal ID: ISSN 2296-424X
Publisher:
Frontiers Research Foundation
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CMB; CMB statistics; data analysis; likelihood function; methods; parameter estimation

Citation Formats

Gerbino, Martina, Lattanzi, Massimiliano, Migliaccio, Marina, Pagano, Luca, Salvati, Laura, Colombo, Loris, Gruppuso, Alessandro, Natoli, Paolo, and Polenta, Gianluca. Likelihood Methods for CMB Experiments. United States: N. p., 2020. Web. doi:10.3389/fphy.2020.00015.
Gerbino, Martina, Lattanzi, Massimiliano, Migliaccio, Marina, Pagano, Luca, Salvati, Laura, Colombo, Loris, Gruppuso, Alessandro, Natoli, Paolo, & Polenta, Gianluca. Likelihood Methods for CMB Experiments. United States. doi:https://doi.org/10.3389/fphy.2020.00015
Gerbino, Martina, Lattanzi, Massimiliano, Migliaccio, Marina, Pagano, Luca, Salvati, Laura, Colombo, Loris, Gruppuso, Alessandro, Natoli, Paolo, and Polenta, Gianluca. Wed . "Likelihood Methods for CMB Experiments". United States. doi:https://doi.org/10.3389/fphy.2020.00015. https://www.osti.gov/servlets/purl/1632323.
@article{osti_1632323,
title = {Likelihood Methods for CMB Experiments},
author = {Gerbino, Martina and Lattanzi, Massimiliano and Migliaccio, Marina and Pagano, Luca and Salvati, Laura and Colombo, Loris and Gruppuso, Alessandro and Natoli, Paolo and Polenta, Gianluca},
abstractNote = {A great deal of experimental effort is currently being devoted to the precise measurements of the cosmic microwave background (CMB) sky in temperature and polarization. Satellites, balloon-borne, and ground-based experiments scrutinize the CMB sky at multiple scales, and therefore enable to investigate not only the evolution of the early Universe, but also its late-time physics with unprecedented accuracy. The pipeline leading from time ordered data as collected by the instrument to the final product is highly structured. Moreover, it has also to provide accurate estimates of statistical and systematic uncertainties connected to the specific experiment. In this paper, we review likelihood approaches targeted to the analysis of the CMB signal at different scales, and to the estimation of key cosmological parameters. We consider methods that analyze the data in the spatial (i.e., pixel-based) or harmonic domain. We highlight the most relevant aspects of each approach and compare their performance.},
doi = {10.3389/fphy.2020.00015},
journal = {Frontiers in Physics},
number = ,
volume = 8,
place = {United States},
year = {2020},
month = {2}
}

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