BICEP2/KECK ARRAY. VII. MATRIX BASED E/B SEPARATION APPLIED to BICEP2 and the KECK ARRAY

P. A R Ade; Z. Ahmed; R. W. Aikin; K. D. Alexander; D. Barkats; S. J. Benton; C. A. Bischoff; J. J. Bock; R. Bowens-Rubin; J. A. Brevik; I. Buder; E. Bullock; V. Buza; J. Connors; B. P. Crill; L. Duband; C. Dvorkin; J. P. Filippini; S. Fliescher; J. Grayson; M. Halpern; S. Harrison; S. R. Hildebrandt; G. C. Hilton; H. Hui; K. D. Irwin; J. Kang; K. S. Karkare; E. Karpel; J. P. Kaufman; B. G. Keating; S. Kefeli; S. A. Kernasovskiy; J. M. Kovac; C. L. Kuo; E. M. Leitch; M. Lueker; K. G. Megerian; T. Namikawa; C. B. Netterfield; H. T. Nguyen; R. O'Brient; R. W. Ogburn; A. Orlando; C. Pryke; S. Richter; R. Schwarz; C. D. Sheehy; Z. K. Staniszewski; B. Steinbach; R. V. Sudiwala; G. P. Teply; K. L. Thompson; J. E. Tolan; C. Tucker; A. D. Turner; A. G. Vieregg; A. C. Weber; D. V. Wiebe; J. Willmert; C. L. Wong; W. L K Wu; K. W. Yoon

doi:10.3847/0004-637X/825/1/66

BICEP2/KECK ARRAY. VII. MATRIX BASED E/B SEPARATION APPLIED to BICEP2 and the KECK ARRAY

P. A R Ade, Z. Ahmed, R. W. Aikin, K. D. Alexander, D. Barkats, S. J. Benton, C. A. Bischoff, J. J. Bock, R. Bowens-Rubin, J. A. Brevik, I. Buder, E. Bullock, V. Buza, J. Connors, B. P. Crill, L. Duband, C. Dvorkin, J. P. Filippini, S. Fliescher, J. GraysonM. Halpern, S. Harrison, S. R. Hildebrandt, G. C. Hilton, H. Hui, K. D. Irwin, J. Kang, K. S. Karkare, E. Karpel, J. P. Kaufman, B. G. Keating, S. Kefeli, S. A. Kernasovskiy, J. M. Kovac, C. L. Kuo, E. M. Leitch, M. Lueker, K. G. Megerian, T. Namikawa, C. B. Netterfield, H. T. Nguyen, R. O'Brient, R. W. Ogburn, A. Orlando, C. Pryke, S. Richter, R. Schwarz, C. D. Sheehy, Z. K. Staniszewski, B. Steinbach, R. V. Sudiwala, G. P. Teply, K. L. Thompson, J. E. Tolan, C. Tucker, A. D. Turner, A. G. Vieregg, A. C. Weber, D. V. Wiebe, J. Willmert, C. L. Wong, W. L K Wu, K. W. Yoon

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A linear polarization field on the sphere can be uniquely decomposed into an E-mode and a B-mode component. These two components are analytically defined in terms of spin-2 spherical harmonics. Maps that contain filtered modes on a partial sky can also be decomposed into E-mode and B-mode components. However, the lack of full sky information prevents orthogonally separating these components using spherical harmonics. In this paper, we present a technique for decomposing an incomplete map into E and B-mode components using E and B eigenmodes of the pixel covariance in the observed map. This method is found to orthogonally define E and B in the presence of both partial sky coverage and spatial filtering. This method has been applied to the Bicep2 and the Keck Array maps and results in reducing E to B leakage from ΛCDM E-modes to a level corresponding to a tensor-to-scalar ratio of .

Original language	English (US)
Article number	66
Journal	Astrophysical Journal
Volume	825
Issue number	1
DOIs	https://doi.org/10.3847/0004-637X/825/1/66
State	Published - Jul 1 2016

Bibliographical note

Publisher Copyright:
© 2016. The American Astronomical Society. All rights reserved.

Keywords

cosmic background radiation
cosmology: observations
gravitational waves
inflation
polarization

Publisher link

10.3847/0004-637X/825/1/66

http://arxiv.org/abs/1603.05976

Find It

Find It at U of M Libraries

Cite this

Ade, P. A. R., Ahmed, Z., Aikin, R. W., Alexander, K. D., Barkats, D., Benton, S. J., Bischoff, C. A., Bock, J. J., Bowens-Rubin, R., Brevik, J. A., Buder, I., Bullock, E., Buza, V., Connors, J., Crill, B. P., Duband, L., Dvorkin, C., Filippini, J. P., Fliescher, S., ... Yoon, K. W. (2016). BICEP2/KECK ARRAY. VII. MATRIX BASED E/B SEPARATION APPLIED to BICEP2 and the KECK ARRAY. Astrophysical Journal, 825(1), Article 66. https://doi.org/10.3847/0004-637X/825/1/66

Ade, PAR, Ahmed, Z, Aikin, RW, Alexander, KD, Barkats, D, Benton, SJ, Bischoff, CA, Bock, JJ, Bowens-Rubin, R, Brevik, JA, Buder, I, Bullock, E, Buza, V, Connors, J, Crill, BP, Duband, L, Dvorkin, C, Filippini, JP, Fliescher, S, Grayson, J, Halpern, M, Harrison, S, Hildebrandt, SR, Hilton, GC, Hui, H, Irwin, KD, Kang, J, Karkare, KS, Karpel, E, Kaufman, JP, Keating, BG, Kefeli, S, Kernasovskiy, SA, Kovac, JM, Kuo, CL, Leitch, EM, Lueker, M, Megerian, KG, Namikawa, T, Netterfield, CB, Nguyen, HT, O'Brient, R, Ogburn, RW, Orlando, A, Pryke, C, Richter, S, Schwarz, R, Sheehy, CD, Staniszewski, ZK, Steinbach, B, Sudiwala, RV, Teply, GP, Thompson, KL, Tolan, JE, Tucker, C, Turner, AD, Vieregg, AG, Weber, AC, Wiebe, DV, Willmert, J, Wong, CL, Wu, WLK & Yoon, KW 2016, 'BICEP2/KECK ARRAY. VII. MATRIX BASED E/B SEPARATION APPLIED to BICEP2 and the KECK ARRAY', Astrophysical Journal, vol. 825, no. 1, 66. https://doi.org/10.3847/0004-637X/825/1/66

@article{43ebe445b151437db28165730820b9ce,

title = "BICEP2/KECK ARRAY. VII. MATRIX BASED E/B SEPARATION APPLIED to BICEP2 and the KECK ARRAY",

abstract = "A linear polarization field on the sphere can be uniquely decomposed into an E-mode and a B-mode component. These two components are analytically defined in terms of spin-2 spherical harmonics. Maps that contain filtered modes on a partial sky can also be decomposed into E-mode and B-mode components. However, the lack of full sky information prevents orthogonally separating these components using spherical harmonics. In this paper, we present a technique for decomposing an incomplete map into E and B-mode components using E and B eigenmodes of the pixel covariance in the observed map. This method is found to orthogonally define E and B in the presence of both partial sky coverage and spatial filtering. This method has been applied to the Bicep2 and the Keck Array maps and results in reducing E to B leakage from ΛCDM E-modes to a level corresponding to a tensor-to-scalar ratio of .",

keywords = "cosmic background radiation, cosmology: observations, gravitational waves, inflation, polarization",

author = "Ade, {P. A R} and Z. Ahmed and Aikin, {R. W.} and Alexander, {K. D.} and D. Barkats and Benton, {S. J.} and Bischoff, {C. A.} and Bock, {J. J.} and R. Bowens-Rubin and Brevik, {J. A.} and I. Buder and E. Bullock and V. Buza and J. Connors and Crill, {B. P.} and L. Duband and C. Dvorkin and Filippini, {J. P.} and S. Fliescher and J. Grayson and M. Halpern and S. Harrison and Hildebrandt, {S. R.} and Hilton, {G. C.} and H. Hui and Irwin, {K. D.} and J. Kang and Karkare, {K. S.} and E. Karpel and Kaufman, {J. P.} and Keating, {B. G.} and S. Kefeli and Kernasovskiy, {S. A.} and Kovac, {J. M.} and Kuo, {C. L.} and Leitch, {E. M.} and M. Lueker and Megerian, {K. G.} and T. Namikawa and Netterfield, {C. B.} and Nguyen, {H. T.} and R. O'Brient and Ogburn, {R. W.} and A. Orlando and C. Pryke and S. Richter and R. Schwarz and Sheehy, {C. D.} and Staniszewski, {Z. K.} and B. Steinbach and Sudiwala, {R. V.} and Teply, {G. P.} and Thompson, {K. L.} and Tolan, {J. E.} and C. Tucker and Turner, {A. D.} and Vieregg, {A. G.} and Weber, {A. C.} and Wiebe, {D. V.} and J. Willmert and Wong, {C. L.} and Wu, {W. L K} and Yoon, {K. W.}",

year = "2016",

month = jul,

day = "1",

doi = "10.3847/0004-637X/825/1/66",

language = "English (US)",

volume = "825",

journal = "Astrophysical Journal",

issn = "0004-637X",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - BICEP2/KECK ARRAY. VII. MATRIX BASED E/B SEPARATION APPLIED to BICEP2 and the KECK ARRAY

AU - Ade, P. A R

AU - Ahmed, Z.

AU - Aikin, R. W.

AU - Alexander, K. D.

AU - Barkats, D.

AU - Benton, S. J.

AU - Bischoff, C. A.

AU - Bock, J. J.

AU - Bowens-Rubin, R.

AU - Brevik, J. A.

AU - Buder, I.

AU - Bullock, E.

AU - Buza, V.

AU - Connors, J.

AU - Crill, B. P.

AU - Duband, L.

AU - Dvorkin, C.

AU - Filippini, J. P.

AU - Fliescher, S.

AU - Grayson, J.

AU - Halpern, M.

AU - Harrison, S.

AU - Hildebrandt, S. R.

AU - Hilton, G. C.

AU - Hui, H.

AU - Irwin, K. D.

AU - Kang, J.

AU - Karkare, K. S.

AU - Karpel, E.

AU - Kaufman, J. P.

AU - Keating, B. G.

AU - Kefeli, S.

AU - Kernasovskiy, S. A.

AU - Kovac, J. M.

AU - Kuo, C. L.

AU - Leitch, E. M.

AU - Lueker, M.

AU - Megerian, K. G.

AU - Namikawa, T.

AU - Netterfield, C. B.

AU - Nguyen, H. T.

AU - O'Brient, R.

AU - Ogburn, R. W.

AU - Orlando, A.

AU - Pryke, C.

AU - Richter, S.

AU - Schwarz, R.

AU - Sheehy, C. D.

AU - Staniszewski, Z. K.

AU - Steinbach, B.

AU - Sudiwala, R. V.

AU - Teply, G. P.

AU - Thompson, K. L.

AU - Tolan, J. E.

AU - Tucker, C.

AU - Turner, A. D.

AU - Vieregg, A. G.

AU - Weber, A. C.

AU - Wiebe, D. V.

AU - Willmert, J.

AU - Wong, C. L.

AU - Wu, W. L K

AU - Yoon, K. W.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - A linear polarization field on the sphere can be uniquely decomposed into an E-mode and a B-mode component. These two components are analytically defined in terms of spin-2 spherical harmonics. Maps that contain filtered modes on a partial sky can also be decomposed into E-mode and B-mode components. However, the lack of full sky information prevents orthogonally separating these components using spherical harmonics. In this paper, we present a technique for decomposing an incomplete map into E and B-mode components using E and B eigenmodes of the pixel covariance in the observed map. This method is found to orthogonally define E and B in the presence of both partial sky coverage and spatial filtering. This method has been applied to the Bicep2 and the Keck Array maps and results in reducing E to B leakage from ΛCDM E-modes to a level corresponding to a tensor-to-scalar ratio of .

AB - A linear polarization field on the sphere can be uniquely decomposed into an E-mode and a B-mode component. These two components are analytically defined in terms of spin-2 spherical harmonics. Maps that contain filtered modes on a partial sky can also be decomposed into E-mode and B-mode components. However, the lack of full sky information prevents orthogonally separating these components using spherical harmonics. In this paper, we present a technique for decomposing an incomplete map into E and B-mode components using E and B eigenmodes of the pixel covariance in the observed map. This method is found to orthogonally define E and B in the presence of both partial sky coverage and spatial filtering. This method has been applied to the Bicep2 and the Keck Array maps and results in reducing E to B leakage from ΛCDM E-modes to a level corresponding to a tensor-to-scalar ratio of .

KW - cosmic background radiation

KW - cosmology: observations

KW - gravitational waves

KW - inflation

KW - polarization

UR - http://www.scopus.com/inward/record.url?scp=84978239656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84978239656&partnerID=8YFLogxK

U2 - 10.3847/0004-637X/825/1/66

DO - 10.3847/0004-637X/825/1/66

M3 - Article

AN - SCOPUS:84978239656

SN - 0004-637X

VL - 825

JO - Astrophysical Journal

JF - Astrophysical Journal

IS - 1

M1 - 66

ER -

BICEP2/KECK ARRAY. VII. MATRIX BASED E/B SEPARATION APPLIED to BICEP2 and the KECK ARRAY

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this