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2017

Bayesian delensing of CMB temperature and polarization

Millea, Marius, Anderes, Ethan, Wandelt, Benjamin D.

Understand

We develop the first algorithm able to jointly compute the maximum {\it a posteriori} estimate of the Cosmic Microwave Background (CMB) temperature and polarization fields, the gravitational potential by which they are lensed, and cosmological parameters such as the tensor-to-scalar ratio, $r$.

This is an important step towards sampling from the joint posterior probability function of these quantities, which, assuming Gaussianity of the CMB fields and lensing potential, contains all available cosmological information and would yield theoretically optimal constraints.
Attaining such optimal constraints will be crucial for next-generation CMB surveys like CMB-S4, where limits on $r$ could be improved by factors of a few over currently used sub-optimal quadratic estimators.
The maximization procedure described here depends on a newly developed lensing algorithm, which we term \textsc{LenseFlow}, and which lenses a map by solving a system of ordinary differential equations.

Built on

Hu, W., & Okamoto, T. 2002, The Astrophysical Journal, 574, 566
2002
Earlier work this paper cites.
Kesden, M., Cooray, A., & Kamionkowski, M. 2002, Physical Review Letters, 89, arXiv:astro-ph/0202434
2002
Earlier work this paper cites.
Knox, L., & Song, Y.-S. 2002, Physical Review Letters, 89, 011303
2002
Earlier work this paper cites.
Hirata, C. M., & Seljak, U. 2003, Physical Review D, 68, arXiv:astro-ph/0306354
2003
Earlier work this paper cites.
Okamoto, T., & Hu, W. 2003, Physical Review D, 67, arXiv:astro-ph/0301031
2003
Earlier work this paper cites.
Lewis, A. 2005, Physical Review D, 71, arXiv:astro-ph/0502469
2005
Earlier work this paper cites.
Smith, K. M., Zahn, O., & Dore, O. 2007, Physical Review D, 76, arXiv:0705.3980
Original
2007
Earlier work this paper cites.
Hamimeche, S., & Lewis, A. 2008, Physical Review D, 77, arXiv:0801.0554
Original
2008
Earlier work this paper cites.
Anderes, E. 2010, The Annals of Statistics, 38, 870
2010
Earlier work this paper cites.
Hanson, D., Challinor, A., & Lewis, A. 2010, General Relativity and Gravitation, 42, 2197
2010
Earlier work this paper cites.
Lavaux, G., & Wandelt, B. D. 2010, The Astrophysical Journal Supplement Series, 191, 32
2010
Earlier work this paper cites.

Similar

Sherwin, B. D., Dunkley, J., Das, S., et al. 2011, Physical Review Letters, 107, arXiv:1105.0419
Original
2011
Cited alongside, same era.
Smith, K. M., Hanson, D., LoVerde, M., Hirata, C. M., & Zahn, O. 2012, Journal of Cosmology and Astroparticle Physics, 2012, 014
2012
Cited alongside, same era.
Abazajian, K. N., Arnold, K., Austermann, J., et al. 2013, ArXiv e-prints, 1309, 5383
2013
Cited alongside, same era.
Elsner, F., & Wandelt, B. D. 2013, Astronomy & Astrophysics, 549, A111
2013
Cited alongside, same era.
Seljebotn, D. S., Mardal, K.-A., Jewell, J. B., Eriksen, H. K., & Bull, P. 2014, The Astrophysical Journal Supplement Series, 210, 24
2014
Cited alongside, same era.