The shape of CMB temperature and polarization peaks on the sphere

We present a theoretical study of CMB temperature peaks, including its effect over the polarization field, and allowing nonzero eccentricity. The formalism is developed in harmonic space and using the covariant derivative on the sphere, which guarantees that the expressions obtained are completely v...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2016-04, Vol.2016 (4), p.58-58
Main Authors: Marcos-Caballero, A., Fernández-Cobos, R., Martínez-González, E., Vielva, P.
Format: Article
Language:English
Subjects:
APPROXIMATIONS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
ASYMMETRY
HARMONICS
PEAKS
POLARIZATION
RELICT RADIATION
SHAPE
SIMULATION
SPACE
SPHERES
STATISTICS
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Summary:We present a theoretical study of CMB temperature peaks, including its effect over the polarization field, and allowing nonzero eccentricity. The formalism is developed in harmonic space and using the covariant derivative on the sphere, which guarantees that the expressions obtained are completely valid at large scales (i.e., no flat approximation). The expected patterns induced by the peak, either in temperature or polarization, are calculated, as well as their covariances. It is found that the eccentricity introduces a quadrupolar dependence in the peak shape, which is proportional to a complex bias parameter b {sub ε}, characterizing the peak asymmetry and orientation. In addition, the one-point statistics of the variables defining the peak on the sphere is reviewed, finding some differences with respect to the flat case for large peaks. Finally, we present a mechanism to simulate constrained CMB maps with a particular peak on the field, which is an interesting tool for analysing the statistical properties of the peaks present in the data.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2016/04/058