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

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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
Externally published	Yes

All Science Journal Classification (ASJC) codes

Astronomy and Astrophysics
Space and Planetary Science

Keywords

cosmic background radiation
cosmology: observations
gravitational waves
inflation
polarization

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

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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

@article{04ccfbae7d8045a4ad9f9a7237283a86,

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 = "American Astronomical Society",

number = "1",

}

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

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

All Science Journal Classification (ASJC) codes

Keywords

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