The Astrophysical Journal (Jan 2023)
How to Detect an Astrophysical Nanohertz Gravitational Wave Background
- Bence Bécsy,
- Neil J. Cornish,
- Patrick M. Meyers,
- Luke Zoltan Kelley,
- Gabriella Agazie,
- Akash Anumarlapudi,
- Anne M. Archibald,
- Zaven Arzoumanian,
- Paul T. Baker,
- Laura Blecha,
- Adam Brazier,
- Paul R. Brook,
- Sarah Burke-Spolaor,
- J. Andrew Casey-Clyde,
- Maria Charisi,
- Shami Chatterjee,
- Katerina Chatziioannou,
- Tyler Cohen,
- James M. Cordes,
- Fronefield Crawford,
- H. Thankful Cromartie,
- Kathryn Crowter,
- Megan E. DeCesar,
- Paul B. Demorest,
- Timothy Dolch,
- Elizabeth C. Ferrara,
- William Fiore,
- Emmanuel Fonseca,
- Gabriel E. Freedman,
- Nate Garver-Daniels,
- Peter A. Gentile,
- Joseph Glaser,
- Deborah C. Good,
- Kayhan Gültekin,
- Jeffrey S. Hazboun,
- Sophie Hourihane,
- Ross J. Jennings,
- Aaron D. Johnson,
- Megan L. Jones,
- Andrew R. Kaiser,
- David L. Kaplan,
- Matthew Kerr,
- Joey S. Key,
- Nima Laal,
- Michael T. Lam,
- William G. Lamb,
- T. Joseph W. Lazio,
- Natalia Lewandowska,
- Tyson B. Littenberg,
- Tingting Liu,
- Duncan R. Lorimer,
- Jing Luo,
- Ryan S. Lynch,
- Chung-Pei Ma,
- Dustin R. Madison,
- Alexander McEwen,
- James W. McKee,
- Maura A. McLaughlin,
- Natasha McMann,
- Bradley W. Meyers,
- Chiara M. F. Mingarelli,
- Andrea Mitridate,
- Cherry Ng,
- David J. Nice,
- Stella Koch Ocker,
- Ken D. Olum,
- Timothy T. Pennucci,
- Benetge B. P. Perera,
- Nihan S. Pol,
- Henri A. Radovan,
- Scott M. Ransom,
- Paul S. Ray,
- Joseph D. Romano,
- Shashwat C. Sardesai,
- Ann Schmiedekamp,
- Carl Schmiedekamp,
- Kai Schmitz,
- Brent J. Shapiro-Albert,
- Xavier Siemens,
- Joseph Simon,
- Magdalena S. Siwek,
- Sophia V. Sosa Fiscella,
- Ingrid H. Stairs,
- Daniel R. Stinebring,
- Kevin Stovall,
- Abhimanyu Susobhanan,
- Joseph K. Swiggum,
- Stephen R. Taylor,
- Jacob E. Turner,
- Caner Unal,
- Michele Vallisneri,
- Rutger van Haasteren,
- Sarah J. Vigeland,
- Haley M. Wahl,
- Caitlin A. Witt,
- Olivia Young
Affiliations
- Bence Bécsy
- ORCiD
- Department of Physics, Oregon State University , Corvallis, OR 97331, USA ; [email protected]
- Neil J. Cornish
- ORCiD
- eXtreme Gravity Institute, Department of Physics, Montana State University , Bozeman, MT 59717, USA
- Patrick M. Meyers
- ORCiD
- Division of Physics, Mathematics, and Astronomy, California Institute of Technology , Pasadena, CA 91125, USA
- Luke Zoltan Kelley
- ORCiD
- Department of Astronomy, University of California at Berkeley , Berkeley, CA 94720, USA
- Gabriella Agazie
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Akash Anumarlapudi
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Anne M. Archibald
- ORCiD
- Newcastle University , NE1 7RU, UK
- Zaven Arzoumanian
- X-Ray Astrophysics Laboratory, NASA Goddard Space Flight Center , Code 662, Greenbelt, MD 20771, USA
- Paul T. Baker
- ORCiD
- Department of Physics and Astronomy, Widener University , One University Place, Chester, PA 19013, USA
- Laura Blecha
- ORCiD
- Physics Department, University of Florida , Gainesville, FL 32611, USA
- Adam Brazier
- ORCiD
- Cornell Center for Astrophysics and Planetary Science and Department of Astronomy, Cornell University , Ithaca, NY 14853, USA; Cornell Center for Advanced Computing, Cornell University , Ithaca, NY 14853, USA
- Paul R. Brook
- ORCiD
- Institute for Gravitational Wave Astronomy and School of Physics and Astronomy, University of Birmingham , Edgbaston, Birmingham B15 2TT, UK
- Sarah Burke-Spolaor
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- J. Andrew Casey-Clyde
- ORCiD
- Department of Physics, University of Connecticut , 196 Auditorium Road, U-3046, Storrs, CT 06269-3046, USA
- Maria Charisi
- ORCiD
- Department of Physics and Astronomy, Vanderbilt University , 2301 Vanderbilt Place, Nashville, TN 37235, USA
- Shami Chatterjee
- ORCiD
- Cornell Center for Astrophysics and Planetary Science and Department of Astronomy, Cornell University , Ithaca, NY 14853, USA
- Katerina Chatziioannou
- ORCiD
- Division of Physics, Mathematics, and Astronomy, California Institute of Technology , Pasadena, CA 91125, USA
- Tyler Cohen
- ORCiD
- Department of Physics, New Mexico Institute of Mining and Technology , 801 Leroy Place, Socorro, NM 87801, USA
- James M. Cordes
- ORCiD
- Cornell Center for Astrophysics and Planetary Science and Department of Astronomy, Cornell University , Ithaca, NY 14853, USA
- Fronefield Crawford
- ORCiD
- Department of Physics and Astronomy, Franklin & Marshall College , P.O. Box 3003, Lancaster, PA 17604, USA
- H. Thankful Cromartie
- ORCiD
- Cornell Center for Astrophysics and Planetary Science and Department of Astronomy, Cornell University , Ithaca, NY 14853, USA
- Kathryn Crowter
- ORCiD
- Department of Physics and Astronomy, University of British Columbia , 6224 Agricultural Road, Vancouver, BC V6T 1Z1, Canada
- Megan E. DeCesar
- ORCiD
- George Mason University , resident at the Naval Research Laboratory, Washington, DC 20375, USA
- Paul B. Demorest
- ORCiD
- National Radio Astronomy Observatory , 1003 Lopezville Road, Socorro, NM 87801, USA
- Timothy Dolch
- ORCiD
- Department of Physics, Hillsdale College , 33 E. College Street, Hillsdale, MI 49242, USA; Eureka Scientific , 2452 Delmer Street, Suite 100, Oakland, CA 94602-3017, USA
- Elizabeth C. Ferrara
- ORCiD
- Department of Astronomy, University of Maryland , College Park, MD 20742, USA; Center for Research and Exploration in Space Science and Technology , NASA/GSFC, Greenbelt, MD 20771, USA; NASA Goddard Space Flight Center , Greenbelt, MD 20771, USA
- William Fiore
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Emmanuel Fonseca
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Gabriel E. Freedman
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Nate Garver-Daniels
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Peter A. Gentile
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Joseph Glaser
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Deborah C. Good
- ORCiD
- Department of Physics, University of Connecticut , 196 Auditorium Road, U-3046, Storrs, CT 06269-3046, USA; Center for Computational Astrophysics, Flatiron Institute , 162 5th Avenue, New York, NY 10010, USA
- Kayhan Gültekin
- ORCiD
- Department of Astronomy and Astrophysics, University of Michigan , Ann Arbor, MI 48109, USA
- Jeffrey S. Hazboun
- ORCiD
- Department of Physics, Oregon State University , Corvallis, OR 97331, USA ; [email protected]
- Sophie Hourihane
- ORCiD
- Division of Physics, Mathematics, and Astronomy, California Institute of Technology , Pasadena, CA 91125, USA
- Ross J. Jennings
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Aaron D. Johnson
- ORCiD
- Division of Physics, Mathematics, and Astronomy, California Institute of Technology , Pasadena, CA 91125, USA; Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Megan L. Jones
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Andrew R. Kaiser
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- David L. Kaplan
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Matthew Kerr
- ORCiD
- Space Science Division , Naval Research Laboratory, Washington, DC 20375-5352, USA
- Joey S. Key
- ORCiD
- University of Washington Bothell , 18115 Campus Way NE, Bothell, WA 98011, USA
- Nima Laal
- ORCiD
- Department of Physics, Oregon State University , Corvallis, OR 97331, USA ; [email protected]
- Michael T. Lam
- ORCiD
- SETI Institute , 339 N. Bernardo Avenue Suite 200, Mountain View, CA 94043, USA; School of Physics and Astronomy, Rochester Institute of Technology , Rochester, NY 14623, USA; Laboratory for Multiwavelength Astrophysics, Rochester Institute of Technology , Rochester, NY 14623, USA
- William G. Lamb
- ORCiD
- Department of Physics and Astronomy, Vanderbilt University , 2301 Vanderbilt Place, Nashville, TN 37235, USA
- T. Joseph W. Lazio
- Jet Propulsion Laboratory, California Institute of Technology , 4800 Oak Grove Drive, Pasadena, CA 91109, USA
- Natalia Lewandowska
- ORCiD
- Department of Physics, State University of New York at Oswego , Oswego, NY 13126, USA
- Tyson B. Littenberg
- ORCiD
- NASA Marshall Space Flight Center , Huntsville, AL 35812, USA
- Tingting Liu
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Duncan R. Lorimer
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Jing Luo
- ORCiD
- Department of Astronomy & Astrophysics, University of Toronto , 50 Saint George Street, Toronto, ON M5S 3H4, Canada
- Ryan S. Lynch
- ORCiD
- Green Bank Observatory , P.O. Box 2, Green Bank, WV 24944, USA
- Chung-Pei Ma
- ORCiD
- Department of Astronomy, University of California , Berkeley, 501 Campbell Hall #3411, Berkeley, CA 94720, USA; Department of Physics, University of California , Berkeley, CA 94720, USA
- Dustin R. Madison
- ORCiD
- Department of Physics, University of the Pacific , 3601 Pacific Avenue, Stockton, CA 95211, USA
- Alexander McEwen
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- James W. McKee
- ORCiD
- E.A. Milne Centre for Astrophysics, University of Hull , Cottingham Road, Kingston-upon-Hull HU6 7RX, UK; Centre of Excellence for Data Science, Artificial Intelligence and Modelling (DAIM), University of Hull , Cottingham Road, Kingston-upon-Hull HU6 7RX, UK
- Maura A. McLaughlin
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Natasha McMann
- ORCiD
- Department of Physics and Astronomy, Vanderbilt University , 2301 Vanderbilt Place, Nashville, TN 37235, USA
- Bradley W. Meyers
- ORCiD
- Department of Physics and Astronomy, University of British Columbia , 6224 Agricultural Road, Vancouver, BC V6T 1Z1, Canada; International Centre for Radio Astronomy Research, Curtin University , Bentley, WA 6102, Australia
- Chiara M. F. Mingarelli
- ORCiD
- Department of Physics, Yale University , New Haven, CT 06520, USA
- Andrea Mitridate
- ORCiD
- Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, D-22607 Hamburg, Germany
- Cherry Ng
- ORCiD
- Dunlap Institute for Astronomy and Astrophysics, University of Toronto , 50 St. George Street, Toronto, ON M5S 3H4, Canada
- David J. Nice
- ORCiD
- Department of Physics, Lafayette College , Easton, PA 18042, USA
- Stella Koch Ocker
- ORCiD
- Division of Physics, Mathematics, and Astronomy, California Institute of Technology , Pasadena, CA 91125, USA; The Observatories of the Carnegie Institution for Science , Pasadena, CA 91101, USA
- Ken D. Olum
- ORCiD
- Institute of Cosmology, Department of Physics and Astronomy, Tufts University , Medford, MA 02155, USA
- Timothy T. Pennucci
- ORCiD
- Institute of Physics and Astronomy , Eötvös Loránd University, Pázmány P.s. 1/A, 1117 Budapest, Hungary
- Benetge B. P. Perera
- ORCiD
- Arecibo Observatory, HC3 Box 53995, Arecibo, PR 00612, USA
- Nihan S. Pol
- ORCiD
- Department of Physics and Astronomy, Vanderbilt University , 2301 Vanderbilt Place, Nashville, TN 37235, USA
- Henri A. Radovan
- ORCiD
- Department of Physics, University of Puerto Rico , Mayagüez, PR 00681, USA
- Scott M. Ransom
- ORCiD
- National Radio Astronomy Observatory , 520 Edgemont Road, Charlottesville, VA 22903, USA
- Paul S. Ray
- ORCiD
- Space Science Division , Naval Research Laboratory, Washington, DC 20375-5352, USA
- Joseph D. Romano
- ORCiD
- Department of Physics, Texas Tech University , Box 41051, Lubbock, TX 79409, USA
- Shashwat C. Sardesai
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Ann Schmiedekamp
- ORCiD
- Department of Physics, Penn State Abington , Abington, PA 19001, USA
- Carl Schmiedekamp
- ORCiD
- Department of Physics, Penn State Abington , Abington, PA 19001, USA
- Kai Schmitz
- ORCiD
- Institute for Theoretical Physics, University of Münster , D-48149 Münster, Germany
- Brent J. Shapiro-Albert
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA; Giant Army , 915A 17th Ave, Seattle WA 98122, USA
- Xavier Siemens
- ORCiD
- Department of Physics, Oregon State University , Corvallis, OR 97331, USA ; [email protected]; Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Joseph Simon
- ORCiD
- Department of Astrophysical and Planetary Sciences, University of Colorado , Boulder, CO 80309, USA
- Magdalena S. Siwek
- ORCiD
- Center for Astrophysics, Harvard University , 60 Garden Street, Cambridge, MA 02138, USA
- Sophia V. Sosa Fiscella
- ORCiD
- School of Physics and Astronomy, Rochester Institute of Technology , Rochester, NY 14623, USA; Laboratory for Multiwavelength Astrophysics, Rochester Institute of Technology , Rochester, NY 14623, USA
- Ingrid H. Stairs
- ORCiD
- Department of Physics and Astronomy, University of British Columbia , 6224 Agricultural Road, Vancouver, BC V6T 1Z1, Canada
- Daniel R. Stinebring
- ORCiD
- Department of Physics and Astronomy, Oberlin College , Oberlin, OH 44074, USA
- Kevin Stovall
- ORCiD
- National Radio Astronomy Observatory , 1003 Lopezville Road, Socorro, NM 87801, USA
- Abhimanyu Susobhanan
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Joseph K. Swiggum
- ORCiD
- Department of Physics, Lafayette College , Easton, PA 18042, USA
- Stephen R. Taylor
- ORCiD
- Department of Physics and Astronomy, Vanderbilt University , 2301 Vanderbilt Place, Nashville, TN 37235, USA
- Jacob E. Turner
- ORCiD
- Green Bank Observatory , P.O. Box 2, Green Bank, WV 24944, USA
- Caner Unal
- ORCiD
- Department of Physics, Middle East Technical University , 06531 Ankara, Turkey; Department of Physics, Ben-Gurion University of the Negev , Be’er Sheva 84105, Israel; Feza Gursey Institute, Bogazici University , Kandilli, 34684, Istanbul, Turkey
- Michele Vallisneri
- ORCiD
- Division of Physics, Mathematics, and Astronomy, California Institute of Technology , Pasadena, CA 91125, USA; Jet Propulsion Laboratory, California Institute of Technology , 4800 Oak Grove Drive, Pasadena, CA 91109, USA
- Rutger van Haasteren
- ORCiD
- Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) , Callinstrasse 38, D-30167 Hannover, Germany
- Sarah J. Vigeland
- ORCiD
- Center for Gravitation, Cosmology and Astrophysics, Department of Physics, University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI 53201, USA
- Haley M. Wahl
- ORCiD
- Department of Physics and Astronomy, West Virginia University , P.O. Box 6315, Morgantown, WV 26506, USA; Center for Gravitational Waves and Cosmology, West Virginia University , Chestnut Ridge Research Building, Morgantown, WV 26505, USA
- Caitlin A. Witt
- ORCiD
- Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA), Northwestern University , Evanston, IL 60208, USA; Adler Planetarium , 1300 S. DuSable Lake Shore Drive, Chicago, IL 60605, USA
- Olivia Young
- ORCiD
- School of Physics and Astronomy, Rochester Institute of Technology , Rochester, NY 14623, USA; Laboratory for Multiwavelength Astrophysics, Rochester Institute of Technology , Rochester, NY 14623, USA
- DOI
- https://doi.org/10.3847/1538-4357/ad09e4
- Journal volume & issue
-
Vol. 959,
no. 1
p. 9
Abstract
Analyses of pulsar timing data have provided evidence for a stochastic gravitational wave background in the nanohertz frequency band. The most plausible source of this background is the superposition of signals from millions of supermassive black hole binaries. The standard statistical techniques used to search for this background and assess its significance make several simplifying assumptions, namely (i) Gaussianity, (ii) isotropy, and most often, (iii) a power-law spectrum. However, a stochastic background from a finite collection of binaries does not exactly satisfy any of these assumptions. To understand the effect of these assumptions, we test standard analysis techniques on a large collection of realistic simulated data sets. The data-set length, observing schedule, and noise levels were chosen to emulate the NANOGrav 15 yr data set. Simulated signals from millions of binaries drawn from models based on the Illustris cosmological hydrodynamical simulation were added to the data. We find that the standard statistical methods perform remarkably well on these simulated data sets, even though their fundamental assumptions are not strictly met. They are able to achieve a confident detection of the background. However, even for a fixed set of astrophysical parameters, different realizations of the universe result in a large variance in the significance and recovered parameters of the background. We also find that the presence of loud individual binaries can bias the spectral recovery of the background if we do not account for them.
Keywords
- Gravitational waves
- Gravitational wave sources
- Gravitational wave astronomy
- Supermassive black holes
- Astronomy data analysis
- Bayesian statistics
