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Title: Optimal analysis of azimuthal features in the CMB

We present algorithms for searching for azimuthally symmetric features in CMB data. Our algorithms are fully optimal for masked all-sky data with inhomogeneous noise, computationally fast, simple to implement, and make no approximations. We show how to implement the optimal analysis in both Bayesian and frequentist cases. In the Bayesian case, our algorithm for evaluating the posterior likelihood is so fast that we can do a brute-force search over parameter space, rather than using a Monte Carlo Markov chain. Our motivating example is searching for bubble collisions, a pre-inflationary signal which can be generated if multiple tunneling events occur in an eternally inflating spacetime, but our algorithms are general and should be useful in other contexts.
Authors:
;  [1] ;  [2]
  1. Department of Physics, Stanford University, Stanford, CA 94306 (United States)
  2. CERN, Theory Division, 1211 Geneva 23 (Switzerland)
Publication Date:
OSTI Identifier:
22282654
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; 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; ALGORITHMS; APPROXIMATIONS; INFLATIONARY UNIVERSE; MARKOV PROCESS; MONTE CARLO METHOD; NOISE; RELICT RADIATION; SPACE-TIME; SYMMETRY; TUNNEL EFFECT