A demonstration of improved constraints on primordial gravitational waves with delensing
Abstract
We present a constraint on the tensor-to-scalar ratio, r, derived from measurements of cosmic microwave background (CMB) polarization B-modes with “delensing,” whereby the uncertainty on r contributed by the sample variance of the gravitational lensing B-modes is reduced by cross-correlating against a lensing B-mode template. This template is constructed by combining an estimate of the polarized CMB with a tracer of the projected large-scale structure. The large-scale-structure tracer used is a map of the cosmic infrared background derived from Planck satellite data, while the polarized CMB map comes from a combination of South Pole Telescope, bicep/Keck, and Planck data. We expand the bicep/Keck likelihood analysis framework to accept a lensing template and apply it to the bicep/Keck dataset collected through 2014 using the same parametric foreground modeling as in the previous analysis. From simulations, we find that the uncertainty on r is reduced by ~10%, from σ(r)=0.024 to 0.022, which can be compared with a ~26% reduction obtained when using a perfect lensing template or if there were zero lensing B-modes. Applying the technique to the real data, the constraint on r is improved from r0.05<0.090 to r0.05<0.082 (95% C.L.). This is the first demonstration of improvement in an r constraintmore »
- Authors:
- more »
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Argonne National Lab. (ANL), Argonne, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES); Canadian Institute for Advanced Research (CIFAR); Ontario Research Fund; National Science Foundation (NSF); W.M. Keck Foundation; National Aeronautics and Space Administration (NASA); Gordon and Betty Moore Foundation; Canada Foundation for Innovation (CFI); Kavli Foundation; Australian Research Council; Natural Sciences and Engineering Research Council of Canada (NSERC); Fermi Research Alliance, LLC; Government of Ontario; Univ. of Melbourne (Australia); Univ. of Toronto, ON (Canada); Univ. of Chicago, IL (United States)
- Contributing Org.:
- The Bicep/Keck and SPTpol Collaborations
- OSTI Identifier:
- 1763602
- Alternate Identifier(s):
- OSTI ID: 1765126; OSTI ID: 1778812; OSTI ID: 1781054
- Report Number(s):
- FERMILAB-PUB-20-600-AE
Journal ID: ISSN 2470-0010; TRN: US2205993
- Grant/Contract Number:
- AC02-05CH11231; AC02-76SF00515; AC02-07CH11359; AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 2; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; cosmic microwave background; primordial gravitational waves; inflation; delensing; large scale structure of the universe
Citation Formats
Ade, P. A. R., Ahmed, Z., Amiri, M., Anderson, A. J., Austermann, J. E., Avva, J. S., Barkats, D., Thakur, R. Basu, Beall, J. A., Bender, A. N., Benson, B. A., Bianchini, F., Bischoff, C. A., Bleem, L. E., Bock, J. J., Boenish, H., Bullock, E., Buza, V., Carlstrom, J. E., Chang, C. L., Cheshire, J. R., Chiang, H. C., Chou, T-L, Citron, R., Connors, J., Moran, C. Corbett, Cornelison, J., Crawford, T. M., Crites, A. T., Crumrine, M., Cukierman, A., de Haan, T., Dierickx, M., Dobbs, M. A., Duband, L., Everett, W., Fatigoni, S., Filippini, J. P., Fliescher, S., Gallicchio, J., George, E. M., Germaine, T. St., Goeckner-Wald, N., Goldfinger, D. C., Grayson, J., Gupta, N., Hall, G., Halpern, M., Halverson, N. W., Harrison, S., Henderson, S., Henning, J. W., Hildebrandt, S. R., Hilton, G. C., Holder, G. P., Holzapfel, W. L., Hrubes, J. D., Huang, N., Hubmayr, J., Hui, H., Irwin, K. D., Kang, J., Karkare, K. S., Karpel, E., Kefeli, S., Kernasovskiy, S. A., Knox, L., Kovac, J. M., Kuo, C. L., Lau, K., Lee, A. T., Leitch, E. M., Li, D., Lowitz, A., Manzotti, A., McMahon, J. J., Megerian, K. G., Meyer, S. S., Millea, M., Mocanu, L. M., Moncelsi, L., Montgomery, J., Nadolski, A., Namikawa, T., Natoli, T., Netterfield, C. B., Nguyen, H. T., Nibarger, J. P., Noble, G., Novosad, V., O’Brient, R., Ogburn, R. W., Omori, Y., Padin, S., Palladino, S., Patil, S., Prouve, T., Pryke, C., Racine, B., Reichardt, C. L., Reintsema, C. D., Richter, S., Ruhl, J. E., Saliwanchik, B. R., Schaffer, K. K., Schillaci, A., Schmitt, B. L., Schwarz, R., Sheehy, C. D., Sievers, C., Smecher, G., Soliman, A., Stark, A. A., Steinbach, B., Sudiwala, R. V., Teply, G. P., Thompson, K. L., Tolan, J. E., Tucker, C., Turner, A. D., Umiltà, C., Veach, T., Vieira, J. D., Vieregg, A. G., Wandui, A., Wang, G., Weber, A. C., Whitehorn, N., Wiebe, D. V., Willmert, J., Wong, C. L., Wu, W. L. K., Yang, H., Yefremenko, V., Yoon, K. W., Young, E., Yu, C., Zeng, L., and Zhang, C. A demonstration of improved constraints on primordial gravitational waves with delensing. United States: N. p., 2021.
Web. doi:10.1103/physrevd.103.022004.
Ade, P. A. R., Ahmed, Z., Amiri, M., Anderson, A. J., Austermann, J. E., Avva, J. S., Barkats, D., Thakur, R. Basu, Beall, J. A., Bender, A. N., Benson, B. A., Bianchini, F., Bischoff, C. A., Bleem, L. E., Bock, J. J., Boenish, H., Bullock, E., Buza, V., Carlstrom, J. E., Chang, C. L., Cheshire, J. R., Chiang, H. C., Chou, T-L, Citron, R., Connors, J., Moran, C. Corbett, Cornelison, J., Crawford, T. M., Crites, A. T., Crumrine, M., Cukierman, A., de Haan, T., Dierickx, M., Dobbs, M. A., Duband, L., Everett, W., Fatigoni, S., Filippini, J. P., Fliescher, S., Gallicchio, J., George, E. M., Germaine, T. St., Goeckner-Wald, N., Goldfinger, D. C., Grayson, J., Gupta, N., Hall, G., Halpern, M., Halverson, N. W., Harrison, S., Henderson, S., Henning, J. W., Hildebrandt, S. R., Hilton, G. C., Holder, G. P., Holzapfel, W. L., Hrubes, J. D., Huang, N., Hubmayr, J., Hui, H., Irwin, K. D., Kang, J., Karkare, K. S., Karpel, E., Kefeli, S., Kernasovskiy, S. A., Knox, L., Kovac, J. M., Kuo, C. L., Lau, K., Lee, A. T., Leitch, E. M., Li, D., Lowitz, A., Manzotti, A., McMahon, J. J., Megerian, K. G., Meyer, S. S., Millea, M., Mocanu, L. M., Moncelsi, L., Montgomery, J., Nadolski, A., Namikawa, T., Natoli, T., Netterfield, C. B., Nguyen, H. T., Nibarger, J. P., Noble, G., Novosad, V., O’Brient, R., Ogburn, R. W., Omori, Y., Padin, S., Palladino, S., Patil, S., Prouve, T., Pryke, C., Racine, B., Reichardt, C. L., Reintsema, C. D., Richter, S., Ruhl, J. E., Saliwanchik, B. R., Schaffer, K. K., Schillaci, A., Schmitt, B. L., Schwarz, R., Sheehy, C. D., Sievers, C., Smecher, G., Soliman, A., Stark, A. A., Steinbach, B., Sudiwala, R. V., Teply, G. P., Thompson, K. L., Tolan, J. E., Tucker, C., Turner, A. D., Umiltà, C., Veach, T., Vieira, J. D., Vieregg, A. G., Wandui, A., Wang, G., Weber, A. C., Whitehorn, N., Wiebe, D. V., Willmert, J., Wong, C. L., Wu, W. L. K., Yang, H., Yefremenko, V., Yoon, K. W., Young, E., Yu, C., Zeng, L., & Zhang, C. A demonstration of improved constraints on primordial gravitational waves with delensing. United States. https://doi.org/10.1103/physrevd.103.022004
Ade, P. A. R., Ahmed, Z., Amiri, M., Anderson, A. J., Austermann, J. E., Avva, J. S., Barkats, D., Thakur, R. Basu, Beall, J. A., Bender, A. N., Benson, B. A., Bianchini, F., Bischoff, C. A., Bleem, L. E., Bock, J. J., Boenish, H., Bullock, E., Buza, V., Carlstrom, J. E., Chang, C. L., Cheshire, J. R., Chiang, H. C., Chou, T-L, Citron, R., Connors, J., Moran, C. Corbett, Cornelison, J., Crawford, T. M., Crites, A. T., Crumrine, M., Cukierman, A., de Haan, T., Dierickx, M., Dobbs, M. A., Duband, L., Everett, W., Fatigoni, S., Filippini, J. P., Fliescher, S., Gallicchio, J., George, E. M., Germaine, T. St., Goeckner-Wald, N., Goldfinger, D. C., Grayson, J., Gupta, N., Hall, G., Halpern, M., Halverson, N. W., Harrison, S., Henderson, S., Henning, J. W., Hildebrandt, S. R., Hilton, G. C., Holder, G. P., Holzapfel, W. L., Hrubes, J. D., Huang, N., Hubmayr, J., Hui, H., Irwin, K. D., Kang, J., Karkare, K. S., Karpel, E., Kefeli, S., Kernasovskiy, S. A., Knox, L., Kovac, J. M., Kuo, C. L., Lau, K., Lee, A. T., Leitch, E. M., Li, D., Lowitz, A., Manzotti, A., McMahon, J. J., Megerian, K. G., Meyer, S. S., Millea, M., Mocanu, L. M., Moncelsi, L., Montgomery, J., Nadolski, A., Namikawa, T., Natoli, T., Netterfield, C. B., Nguyen, H. T., Nibarger, J. P., Noble, G., Novosad, V., O’Brient, R., Ogburn, R. W., Omori, Y., Padin, S., Palladino, S., Patil, S., Prouve, T., Pryke, C., Racine, B., Reichardt, C. L., Reintsema, C. D., Richter, S., Ruhl, J. E., Saliwanchik, B. R., Schaffer, K. K., Schillaci, A., Schmitt, B. L., Schwarz, R., Sheehy, C. D., Sievers, C., Smecher, G., Soliman, A., Stark, A. A., Steinbach, B., Sudiwala, R. V., Teply, G. P., Thompson, K. L., Tolan, J. E., Tucker, C., Turner, A. D., Umiltà, C., Veach, T., Vieira, J. D., Vieregg, A. G., Wandui, A., Wang, G., Weber, A. C., Whitehorn, N., Wiebe, D. V., Willmert, J., Wong, C. L., Wu, W. L. K., Yang, H., Yefremenko, V., Yoon, K. W., Young, E., Yu, C., Zeng, L., and Zhang, C. Tue .
"A demonstration of improved constraints on primordial gravitational waves with delensing". United States. https://doi.org/10.1103/physrevd.103.022004. https://www.osti.gov/servlets/purl/1763602.
@article{osti_1763602,
title = {A demonstration of improved constraints on primordial gravitational waves with delensing},
author = {Ade, P. A. R. and Ahmed, Z. and Amiri, M. and Anderson, A. J. and Austermann, J. E. and Avva, J. S. and Barkats, D. and Thakur, R. Basu and Beall, J. A. and Bender, A. N. and Benson, B. A. and Bianchini, F. and Bischoff, C. A. and Bleem, L. E. and Bock, J. J. and Boenish, H. and Bullock, E. and Buza, V. and Carlstrom, J. E. and Chang, C. L. and Cheshire, J. R. and Chiang, H. C. and Chou, T-L and Citron, R. and Connors, J. and Moran, C. Corbett and Cornelison, J. and Crawford, T. M. and Crites, A. T. and Crumrine, M. and Cukierman, A. and de Haan, T. and Dierickx, M. and Dobbs, M. A. and Duband, L. and Everett, W. and Fatigoni, S. and Filippini, J. P. and Fliescher, S. and Gallicchio, J. and George, E. M. and Germaine, T. St. and Goeckner-Wald, N. and Goldfinger, D. C. and Grayson, J. and Gupta, N. and Hall, G. and Halpern, M. and Halverson, N. W. and Harrison, S. and Henderson, S. and Henning, J. W. and Hildebrandt, S. R. and Hilton, G. C. and Holder, G. P. and Holzapfel, W. L. and Hrubes, J. D. and Huang, N. and Hubmayr, J. and Hui, H. and Irwin, K. D. and Kang, J. and Karkare, K. S. and Karpel, E. and Kefeli, S. and Kernasovskiy, S. A. and Knox, L. and Kovac, J. M. and Kuo, C. L. and Lau, K. and Lee, A. T. and Leitch, E. M. and Li, D. and Lowitz, A. and Manzotti, A. and McMahon, J. J. and Megerian, K. G. and Meyer, S. S. and Millea, M. and Mocanu, L. M. and Moncelsi, L. and Montgomery, J. and Nadolski, A. and Namikawa, T. and Natoli, T. and Netterfield, C. B. and Nguyen, H. T. and Nibarger, J. P. and Noble, G. and Novosad, V. and O’Brient, R. and Ogburn, R. W. and Omori, Y. and Padin, S. and Palladino, S. and Patil, S. and Prouve, T. and Pryke, C. and Racine, B. and Reichardt, C. L. and Reintsema, C. D. and Richter, S. and Ruhl, J. E. and Saliwanchik, B. R. and Schaffer, K. K. and Schillaci, A. and Schmitt, B. L. and Schwarz, R. and Sheehy, C. D. and Sievers, C. and Smecher, G. and Soliman, A. and Stark, A. A. and Steinbach, B. and Sudiwala, R. V. and Teply, G. P. and Thompson, K. L. and Tolan, J. E. and Tucker, C. and Turner, A. D. and Umiltà, C. and Veach, T. and Vieira, J. D. and Vieregg, A. G. and Wandui, A. and Wang, G. and Weber, A. C. and Whitehorn, N. and Wiebe, D. V. and Willmert, J. and Wong, C. L. and Wu, W. L. K. and Yang, H. and Yefremenko, V. and Yoon, K. W. and Young, E. and Yu, C. and Zeng, L. and Zhang, C.},
abstractNote = {We present a constraint on the tensor-to-scalar ratio, r, derived from measurements of cosmic microwave background (CMB) polarization B-modes with “delensing,” whereby the uncertainty on r contributed by the sample variance of the gravitational lensing B-modes is reduced by cross-correlating against a lensing B-mode template. This template is constructed by combining an estimate of the polarized CMB with a tracer of the projected large-scale structure. The large-scale-structure tracer used is a map of the cosmic infrared background derived from Planck satellite data, while the polarized CMB map comes from a combination of South Pole Telescope, bicep/Keck, and Planck data. We expand the bicep/Keck likelihood analysis framework to accept a lensing template and apply it to the bicep/Keck dataset collected through 2014 using the same parametric foreground modeling as in the previous analysis. From simulations, we find that the uncertainty on r is reduced by ~10%, from σ(r)=0.024 to 0.022, which can be compared with a ~26% reduction obtained when using a perfect lensing template or if there were zero lensing B-modes. Applying the technique to the real data, the constraint on r is improved from r0.05<0.090 to r0.05<0.082 (95% C.L.). This is the first demonstration of improvement in an r constraint through delensing.},
doi = {10.1103/physrevd.103.022004},
journal = {Physical Review D},
number = 2,
volume = 103,
place = {United States},
year = {Tue Jan 26 00:00:00 EST 2021},
month = {Tue Jan 26 00:00:00 EST 2021}
}
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- Perez, Fernando; Granger, Brian E.
- Computing in Science & Engineering, Vol. 9, Issue 3
Detection of -Mode Polarization at Degree Angular Scales by BICEP2
journal, June 2014
- Ade, P. A. R.; Aikin, R. W.; Barkats, D.
- Physical Review Letters, Vol. 112, Issue 24
Matplotlib: A 2D Graphics Environment
journal, January 2007
- Hunter, John D.
- Computing in Science & Engineering, Vol. 9, Issue 3
Detection of -Mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope
journal, September 2013
- Hanson, D.; Hoover, S.; Crites, A.
- Physical Review Letters, Vol. 111, Issue 14
Constraints on Primordial Gravitational Waves Using , WMAP, and New BICEP2/ Observations through the 2015 Season
journal, November 2018
- Ade, P. A. R.; Ahmed, Z.; Aikin, R. W.
- Physical Review Letters, Vol. 121, Issue 22
Planck intermediate results : XLVIII. Disentangling Galactic dust emission and cosmic infrared background anisotropies
journal, December 2016
- Aghanim, N.; Ashdown, M.; Aumont, J.
- Astronomy & Astrophysics, Vol. 596
Planck intermediate results : XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth
journal, December 2016
- Aghanim, N.; Ashdown, M.; Aumont, J.
- Astronomy & Astrophysics, Vol. 596
Internal Delensing of Cosmic Microwave Background Polarization -Modes with the POLARBEAR Experiment
journal, April 2020
- Adachi, S.; Aguilar Faúndez, M. A. O.; Akiba, Y.
- Physical Review Letters, Vol. 124, Issue 13
Multitracer CMB delensing maps from Planck and WISE data
journal, December 2017
- Yu, Byeonghee; Hill, J. Colin; Sherwin, Blake D.
- Physical Review D, Vol. 96, Issue 12
Sampling-based inference of the primordial CMB and gravitational lensing
journal, December 2020
- Millea, Marius; Anderes, Ethan; Wandelt, Benjamin D.
- Physical Review D, Vol. 102, Issue 12
DeepCMB: Lensing reconstruction of the cosmic microwave background with deep neural networks
journal, July 2019
- Caldeira, J.; Wu, W. L. K.; Nord, B.
- Astronomy and Computing, Vol. 28
Measurements of the Temperature and E-mode Polarization of the CMB from 500 Square Degrees of SPTpol Data
journal, January 2018
- Henning, J. W.; Sayre, J. T.; Reichardt, C. L.
- The Astrophysical Journal, Vol. 852, Issue 2