publication . Article . Preprint . 2016

wavelet reconstruction of e and b modes for cmb polarisation and cosmic shear analyses

Leistedt, Boris; McEwen, Jason D.; Büttner, Martin; Peiris, Hiranya V.;
Open Access
  • Published: 09 Dec 2016 Journal: Monthly Notices of the Royal Astronomical Society, volume 466, pages 3,728-3,740 (issn: 0035-8711, eissn: 1365-2966, Copyright policy)
  • Publisher: Oxford University Press (OUP)
Abstract
We present new methods for mapping the curl-free (E-mode) and divergence-free (B-mode) components of spin 2 signals using spin directional wavelets. Our methods are equally applicable to measurements of the polarisation of the cosmic microwave background (CMB) and the shear of galaxy shapes due to weak gravitational lensing. We derive pseudo and pure wavelet estimators, where E-B mixing arising due to incomplete sky coverage is suppressed in wavelet space using scale- and orientation-dependent masking and weighting schemes. In the case of the pure estimator, ambiguous modes (which have vanishing curl and divergence simultaneously on the incomplete sky) are also ...
Subjects
arXiv: Astrophysics::Cosmology and Extragalactic Astrophysics
free text keywords: Space and Planetary Science, Astronomy and Astrophysics, Physics, Weighting, Quantum mechanics, COSMIC cancer database, Astrophysics, Estimator, Weak gravitational lensing, Computational physics, Wavelet, Cosmic microwave background, Polarization (waves), Coherence (physics), Astrophysics - Cosmology and Nongalactic Astrophysics
Funded by
EC| COSMICDAWN
Project
COSMICDAWN
Understanding the Origin of Cosmic Structure
  • Funder: European Commission (EC)
  • Project Code: 306478
  • Funding stream: FP7 | SP2 | ERC

Albrecht A., et al., 2006, astro-ph/0609591 Barreiro R.B., Hobson M.P., 2001, Mon. Not. Roy. Astron. Soc., 327, 813, astro-ph/0104300 Barreiro R.B., Hobson M.P., Lasenby A.N., Banday A.J., Go´rski K.M., Hinshaw G., 2000, Mon. Not. Roy. Astron. Soc., 318, 475, astro-ph/0004202 Barreiro R.B., Sanz J.L., Mart´ınez-Gonza´lez E., Cayon L., Silk J., 1997, Astrophys. J., 478, 1, astro-ph/9612114 Bartelmann M., Schneider P., 2001, Phys. Rept., 340, 291, astro-ph/9912508 Basak S., Delabrouille J., 2012, Mon. Not. Roy. Astron. Soc, 419, 1163, arXiv:1106.5383 Basak S., Delabrouille J., 2013, Mon. Not. Roy. Astron. Soc, 435, 18, arXiv:1204.0292 Becker M.R., Rozo E., 2016, Mon. Not. Roy. Astron. Soc., 457, 1, 304, arXiv:1412.3851 Bobin J., Moudden Y., Starck J.L., Fadili J., Aghanim N., 2008, Statistical Methodology, 5, 307, arXiv:0712.0588 Bowyer J., Ja e A.H., 2011, Phys. Rev., D83, 023503, arXiv:1011.1791 Bowyer J., Ja e A.H., Novikov D.I., 2011, arXiv:1101.0520 Bridges M., McEwen J.D., Cruz M., Hobson M.P., Lasenby A.N., Vielva P., Mart´ınez-Gonza´lez E., 2008, Mon. Not. Roy. Astron.

Soc., 390, 4, 1372, arXiv:0712.1789 Bunn E.F., Zaldarriaga M., Tegmark M., de Oliveira-Costa A., 2003, Phys. Rev. D., 67, 2, 023501, astro-ph/0207338 Castro P.G., Heavens A.F., Kitching T.D., 2005, Phys. Rev. D., 72, 2, 023516, astro-ph/0503479 Cayo´n L., et al., 2000, Mon. Not. Roy. Astron. Soc., 315, 757, astro-ph/9912471 Chang C., et al., 2015, Phys. Rev. Lett., 115, 5, 051301, arXiv:1505.01871 Chon G., Challinor A., Prunet S., Hivon E., Szapudi I., 2004, Mon. Not. Roy. Astron. Soc., 350, 914, astro-ph/0303414 Cruz M., Tucci M., Mart´ınez-Gonza´lez E., Vielva P., 2006, Mon.

Not. Roy. Astron. Soc., 369, 57, astro-ph/0601427 Davis A.C., Kibble T., 2005, Contemporary Physics, 46, 313, hep-th/0505050 Delabrouille J., Cardoso J.F., Le Jeune M., Betoule M., Fay G., Guilloux F., 2009, Astron. & Astrophys., 493, 835, arXiv:0807.0773 Dodelson S., et al., 2009, in astro2010: The Astronomy and Astrophysics Decadal Survey, volume 2010, 67, arXiv:0902.3796 Durrer R., Kunz M., Melchiorri A., 1999, Phys. Rev. D., 59, 12, 123005, astro-ph/9811174 Eriksen H.K., Banday A.J., Go´rski K.M., Lilje P.B., 2004, Astrophys. J., 612, 633, astro-ph/0403098 Feeney S.M., Johnson M.C., Mortlock D.J., Peiris H.V., 2011a, Phys. Rev. Lett., 107, 071301, arXiv:1012.1995 Feeney S.M., Johnson M.C., Mortlock D.J., Peiris H.V., 2011b, Phys. Rev. D., D84, 043507, arXiv:1012.3667 Ferte´ A., Grain J., Tristram M., Stompor R., 2013, Phys. Rev. D., 88, 2, 023524, arXiv:1305.7441 Gonza´lez-Nuevo J., Argu¨eso F., Lo´pez-Caniego M., To olatti L., Sanz J.L., Vielva P., Herranz D., 2006, Mon. Not. Roy. Astron.

Soc., 369, 1603, astro-ph/0604376 Go´rski K.M., Hivon E., Banday A.J., Wandelt B.D., Hansen F.K., Reinecke M., Bartelmann M., 2005, Astrophys. J., 622, 759, astro-ph/0409513 Grain J., Tristram M., Stompor R., 2012, Phys. Rev. D., 86, 7, 076005, arXiv:1207.5344 Gruen D., et al., 2016, Mon. Not. Roy. Astron. Soc., 455, 3, 3367, arXiv:1507.05090 Heavens A., 2003, Mon. Not. Roy. Astron. Soc., 343, 1327, astro-ph/0304151 Heavens A.F., Kitching T.D., Taylor A.N., 2006, Mon. Not. Roy.

Astron. Soc., 373, 105, astro-ph/0606568 Hivon E., Gorski K.M., Netterfield C.B., Crill B.P., Prunet S., Hansen F., 2002, Astrophys. J., 567, 2, astro-ph/0105302 Hivon E., Go´rski K.M., Netterfield C.B., Crill B.P., Prunet S., Hansen F., 2002, Astrophys. J., 567, 2, arXiv:astro-ph/0105302 Hobson M., Jones A., Lasenby A., 1998, Mon. Not. Roy. Astron.

Soc., 309, 125, astro-ph/9810200 Kacprzak T., et al., 2016, submitted to Mon. Not. Roy. Astron.

Soc., arXiv:1603.05040 Kaiser N., Squires G., 1993, Astrophys. J., 404, 441 Kim J., 2011, Astron. & Astrophys., 531, A32, arXiv:1010.2636 Kitching T.D., et al., 2014, Mon. Not. Roy. Astron. Soc., 442, 2, 1326, arXiv:1401.6842 Leistedt B., McEwen J.D., 2012, IEEE Trans. Sig. Proc., 60, 12, 6257, arXiv:1205.0792 Leistedt B., McEwen J.D., Bu¨ttner M., Peiris H.V., Vandergheynst P., Wiaux Y., 2015, ArXiv e-prints, arXiv:1502.03120 Leistedt B., McEwen J.D., Kitching T.D., Peiris H.V., 2015, Phys.

Rev., D92, 12, 123010, arXiv:1509.06750 Leistedt B., McEwen J.D., Vandergheynst P., Wiaux Y., 2013a, Astron. Astrophys., 558, A128, arXiv:1211.1680 Leistedt B., McEwen J.D., Vandergheynst P., Wiaux Y., 2013b, Astron. & Astrophys., 558, A128, 1, arXiv:1211.1680 Lewis A., 2003, Phys. Rev., D68, 083509, astro-ph/0305545 Lewis A., Challinor A., Turok N., 2002, Phys. Rev. D., 65, 2, 023505, astro-ph/0106536 McEwen J.D., 2007, in Wavelets XII, SPIE international symposium on optics and photonics, invited contribution, volume 6701, arXiv:0708.3874 McEwen J.D., Bu¨ttner M., Leistedt B., Peiris H.V., Vandergheynst P., Wiaux Y., 2014, in IAU Symposium, volume 306 of IAU Symposium, 64-67, arXiv:1412.1340 McEwen J.D., Buttner M., Leistedt B., Peiris H.V., Wiaux Y., 2015, IEEE Signal Processing Letters, 22, 2425, arXiv:1508.03101 McEwen J.D., Durastanti C., Wiaux Y., 2015a, Applied Comput.

Harm. Anal., in press, arXiv:1509.06767 McEwen J.D., Hobson M.P., Mortlock D.J., Lasenby A.N., 2007, IEEE Trans. Sig. Proc., 55, 2, 520, astro-ph/0506308 McEwen J.D., Leistedt B., Bu¨ttner M., Peiris H.V., Wiaux Y., 2015b, IEEE Trans. Signal Process., submitted, arXiv:1509.06749 McEwen J.D., Vandergheynst P., Wiaux Y., 2013, Proc. SPIE Int.

Not. Roy. Astron. Soc., 388, 770, arXiv:0712.3519 Wiaux Y., McEwen J.D., Vandergheynst P., Blanc O., 2008b, Mon. Not. Roy. Astron. Soc., 388, 2, 770, arXiv:0712.3519 Zaldarriaga M., Seljak U., 1997, Phys. Rev. D., 55, 4, 1830, astro-ph/9609170

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