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A.Mi. proposed and initiated the project. A.Mi. and K.Sc. coordinated and led the search. The enterprise wrapper, PTArcade (Mitridate et al. 2023, in preparation), used in this analysis was mainly developed by A.Mi., with help from D.W., K.D.O., J.N., R.v.E., T.S., and T.T. R.v.E. and T.S. developed the statistical tools needed to derive the K-ratio bounds. L.Z.K. derived the distributions of power-law fit parameters for characteristic strain spectra from SMBHB simulations. A.Mi. prepared all figures except those in Section 6.1, which were prepared by T.T.; Figure 18, which was prepared by V.L.; and Figure 22, which was prepared by R.R.L.d.S. A.Mi. and K.Sc. wrote the paper with help from K.B., K.D.O., S.Ve., and T.T.Contributions to specific analyses are as follows. K.Sc. led and discussed the results of the SIGW and IGW analyses, which were performed by D.W. and R.R.L.d.S. A.Af. and R.R.L.d.S. derived the constraints on the parameter space of the SIGW model. D.W. and R.R.L.d.S. derived the LVK and N eff bounds on the IGW model. A.Mi. led the PT analysis, which was performed by both A.Mi. and R.v.E.; A.Mi. and K.Sc. interpreted and discussed the results. The string analyses were led by K.D.O. and K.Sc., with K.D.O., K.Sc., and T.S. conducting the analyses; K.Sc. interpreted and discussed the results with help from K.D.O. and J.J.B.P. A.Mi. led the domain wall analysis, which was performed by both A.Mi. and D.W.; A.Mi. and K.Sc. interpreted and discussed the results. The ULDM analysis was coordinated by A.Mi., K.B., and T.T.; J.N. performed the analysis; and A.Mi., C.U., K.B., J.N., and T.T. interpreted and discussed the results. Finally, the substructure search was led by A.Mi. and T.T.; A.Mi., S.Ve., and V.L. performed the analysis; and A.Mi., S.Ve., V.L., and T.T. interpreted and discussed the results.The NANOGrav Collaboration receives support from National Science Foundation (NSF) Physics Frontiers Center award Nos. 1430284 and 2020265, the Gordon and Betty Moore Foundation, NSF AccelNet award No. 2114721, an NSERC Discovery Grant, and CIFAR. The Arecibo Observatory is a facility of the NSF operated under cooperative agreement (AST-1744119) by the University of Central Florida (UCF) in alliance with Universidad Ana G. Mendez (UAGM) and Yang Enterprises (YEI), Inc. The Green Bank Observatory is a facility of the NSF operated under cooperative agreement by Associated Universities, Inc. The National Radio Astronomy Observatory is a facility of the NSF operated under cooperative agreement by Associated Universities, Inc. NANOGrav is part of the International Pulsar Timing Array (IPTA); we would like to thank our IPTA colleagues for their help with this paper.Part of this work was conducted using the High Performance Computing Cluster PALMA II at the University of Muenster (https://www.uni-muenster.de/IT/HPC). This work used the Maxwell computational resources operated at Deutsches Elektronen-Synchrotron DESY, Hamburg (Germany). This work was conducted in part using the HPC resources of the Texas Advanced Computing Center (TACC) at the University of Texas at Austin. The Tufts University High Performance Computing Cluster (https://it.tufts.edu/high-performance-computing) was utilized for some of the research reported in this paper. This research used the computational resources provided by the University of Central Florida's Advanced Research Computing Center.J.J.B.P. acknowledges the support by the PID2021-123703NB-C21 grant funded by MCIN/AEI /10. 13039/501100011033/ and by ERDF; "A way of making Europe," the Basque Government grant (IT-1628-22); and the Basque Foundation for Science (IKERBASQUE). L.B. acknowledges support from the National Science Foundation under award AST-1909933 and from the Research Corporation for Science Advancement under Cottrell Scholar Award No. 27553. P.R.B. is supported by the Science and Technology Facilities Council, grant No. ST/W000946/1. S.B. gratefully acknowledges the support of a Sloan Fellowship and the support of NSF under award No. 1815664. M.C. and S.R.T. acknowledge support from NSF AST-2007993. M.C. and N.S.P. were supported by the Vanderbilt Initiative in Data Intensive Astrophysics (VIDA) Fellowship. Support for this work was provided by the NSF through the Grote Reber Fellowship Program administered by Associated Universities, Inc./National Radio Astronomy Observatory. Support for H.T.C. is provided by NASA through the NASA Hubble Fellowship Program grant No. HST-HF2-51453.001 awarded by the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., for NASA, under contract NAS5-26555. K.C. is supported by a UBC Four Year Fellowship (6456). M.E.D. acknowledges support from the Naval Research Laboratory by NASA under contract S-15633Y. T.D. and M.T.L. are supported by an NSF Astronomy and Astrophysics Grant (AAG), award No. 2009468. The work of R.v.E., K. Sc., and T.S. is supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group, GRK 2149: Strong and Weak Interactions-from Hadrons to Dark Matter. E.C.F. is supported by NASA under award No. 80GSFC21M0002. G.E.F., S.C.S., and S.J.V. are supported by NSF award PHY-2011772. The Flatiron Institute is supported by the Simons Foundation. A.D.J. and M.V. acknowledge support from the Caltech and Jet Propulsion Laboratory President's and Director's Research and Development Fund. A.D.J. acknowledges support from the Sloan Foundation. The work of N.La. and X.S. is partly supported by the George and Hannah Bolinger Memorial Fund in the College of Science at Oregon State University. N.La. acknowledges the support from Larry W. Martin and Joyce B. O'Neill Endowed Fellowship in the College of Science at Oregon State University. Part of this research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (80NM0018D0004). V.S.H.L. is supported by the DoE under contract DE-SC0011632. R.R.L.d.S. is supported by a research grant (29405) from VILLUM FONDEN. D.R.L. and M.A.M. are supported by NSF No. 1458952. M.A.M. is supported by NSF No. 2009425. C.M.F.M. was supported in part by the National Science Foundation under grant Nos. NSF PHY-1748958 and AST-2106552. A.Mi. is supported by the Deutsche Forschungsgemeinschaft under Germany's Excellence Strategy-EXC 2121 Quantum Universe-390833306. The Dunlap Institute is funded by an endowment established by the David Dunlap family and the University of Toronto. K.D.O. was supported in part by NSF grant Nos. 2111738 and 2207267. T.T.P. acknowledges support from the Extragalactic Astrophysics Research Group at Eoetvoes Lorand University, funded by the Eoetvoes Lorand Research Network (ELKH), which was used during the development of this research. S.M.R. and I.H.S. are CIFAR Fellows. Portions of this work performed at NRL were supported by ONR 6.1 basic research funding. J.D.R. also acknowledges support from start-up funds from Texas Tech University. J.S. is supported by an NSF Astronomy and Astrophysics Postdoctoral Fellowship under award AST-2202388 and acknowledges previous support by the NSF under award 1847938. S.R.T. acknowledges support from an NSF CAREER award No. 2146016. T.T.'s contribution to this work is supported by the Fermi Research Alliance, LLC, under contract No. DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics. C.U. acknowledges support from BGU (Kreitman fellowship) and the Council for Higher Education and Israel Academy of Sciences and Humanities (Excellence fellowship). C.A.W. acknowledges support from CIERA, the Adler Planetarium, and the Brinson Foundation through a CIERA-Adler postdoctoral fellowship. O.Y. is supported by the National Science Foundation Graduate Research Fellowship under grant No. DGE-2139292. The work of K.Z. is also supported by a SimonsInvestigator award and the U.S. Department of Energy, Office of Science, Office of HighEnergy Physics, under Award No. DE-SC0011632.

Analysis of institutional authors

Gentile, Peter AAuthor

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June 6, 2025
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Article

The NANOGrav 15 yr Data Set: Search for Signals from New Physics

Publicated to:Astrophysical Journal Letters. 951 (1): L11- - 2023-07-01 951(1), DOI: 10.3847/2041-8213/acdc91

Authors: Afzal, Adeela; Agazie, Gabriella; Anumarlapudi, Akash M; Archibald, Anne; Arzoumanian, Zaven T; Baker, Paul; Becsy, Bence; Blanco-Pillado, Jose Juan; Blecha, Laura K; Boddy, Kimberly; Brazier, Adam R; Brook, Paul; Burke-Spolaor, Sarah; Burnette, Rand; Case, Robin; Charisi, Maria; Chatterjee, Shami; Chatziioannou, Katerina D; Cheeseboro, Belinda; Chen, Siyuan; Cohen, Tyler M; Cordes, James J; Cornish, Neil; Crawford, Fronefield; Cromartie, H Thankful; Crowter, Kathryn J; Cutler, Curt E; DeCesar, Megan; DeGan, Dallas B; Demorest, Paul; Deng, Heling; Dolch, Timothy; Drachler, Brendan; von Eckardstein, Richard C; Ferrara, Elizabeth; Fiore, William; Fonseca, Emmanuel E; Freedman, Gabriel; Garver-Daniels, Nate A; Gentile, Peter A; Gersbach, Kyle; Glaser, Joseph C; Good, Deborah; Guertin, Lydia; Gueltekin, Kayhan S; Hazboun, Jeffrey; Hourihane, Sophie; Islo, Kristina J; Jennings, Ross D; Johnson, Aaron L; Jones, Megan R; Kaiser, Andrew L; Kaplan, David; Kelley, Luke Zoltan; Kerr, Matthew S; Key, Joey; Laal, Nima T; Lam, Michael G; Lamb, William; W Lazio, T Joseph; Lee, Vincent S H; Lewandowska, Natalia R; Lino dos Santos, Rafael B; Littenberg, Tyson; Liu, Tingting R; Lorimer, Duncan; Luo, Jing S; Lynch, Ryan; Ma, Chung-Pei R; Madison, Dustin; McEwen, Alexander W; McKee, James A; McLaughlin, Maura; McMann, Natasha W; Meyers, Bradley M; Meyers, Patrick; Mingarelli, Chiara M F; Mitridate, Andrea; Nay, Jonathan; Natarajan, Priyamvada; Ng, Cherry J; Nice, David; Ocker, Stella Koch D; Olum, Ken T; Pennucci, Timothy; Perera, Benetge B P; Petrov, Polina S; Pol, Nihan A; Radovan, Henri M; Ransom, Scott S; Ray, Paul D; Romano, Joseph C; Sardesai, Shashwat; Schmiedekamp, Ann; Schmiedekamp, Carl; Schmitz, Kai; Schroeder, Tobias; Schult, Levi J; Shapiro-Albert, Brent; Siemens, Xavier; Simon, Joseph S; Siwek, Magdalena H; Stairs, Ingrid R; Stinebring, Daniel; Stovall, Kevin; Stratmann, Peter P; Sun, Jerry; Susobhanan, Abhimanyu K; Swiggum, Joseph; Taylor, Jacob R; Taylor, Stephen; Trickle, Tanner E; Turner, Jacob; Unal, Caner; Vallisneri, Michele; Verma, Sonali J; Vigeland, Sarah M; Wahl, Haley; Wang, Qiaohong A; Witt, Caitlin; Wright, David; Young, Olivia M; Zurek, Kathryn

Affiliations

Adler Planetarium, 1300 S DuSable Lake Shore Dr, Chicago, IL 60605 USA - Author
Arecibo Observ, HC3 Box 53995, Arecibo, PR 00612 USA - Author
Basque Fdn Sci, Ikerbasque, E-48011 Bilbao, Spain - Author
Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel - Author
Bogazici Univ, Feza Gursey Inst, TR-34684 Istanbul, Turkiye - Author
Calif Berkeley, Dept Astron, 501 Campbell Hall 3411, Berkeley, CA USA - Author
CALTECH, Div Phys Math & Astron, Pasadena, CA 91125 USA - Author
CALTECH, Jet Prop Lab, 4800 Oak Grove Dr, Pasadena, CA 91109 USA - Author
CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USA - Author
Cornell Univ, Cornell Ctr Adv Comp, Ithaca, NY 14853 USA - Author
Cornell Univ, Cornell Ctr Astrophys & Planetary Sci, Ithaca, NY 14853 USA - Author
Cornell Univ, Dept Astron, Ithaca, NY 14853 USA - Author
Curtin Univ, Int Ctr Radio Astron Res, Bentley, WA 6102, Australia - Author
Deutsch Elektronen Synchrotron DESY, Notkestr 85, D-22607 Hamburg, Germany - Author
Eotvos Lorand Univ, Inst Phys & Astron, Pazmany Ps 1-A, H-1117 Budapest, Hungary - Author
Eureka Sci, 2452 Delmer St,Suite 100, Oakland, CA 94602 USA - Author
Fermilab Natl Accelerator Lab, Div Theoret Phys, Batavia, IL 60510 USA - Author
Flatiron Inst, Ctr Computat Astrophys, 162 5th Ave, New York, NY 10010 USA - Author
Franklin & Marshall Coll, Dept Phys & Astron, POB 3003, Lancaster, PA 17604 USA - Author
George Mason Univ, Naval Res Lab, Washington, DC 20375 USA - Author
Giant Army, 915A 17th Ave, Seattle, WA 98122 USA - Author
Green Bank Observ, POB 2, Green Bank, WV 24944 USA - Author
Harvard Univ, Black Hole Initiat, 20 Garden St, Cambridge, MA 02138 USA - Author
Harvard Univ, Ctr Astrophys, 60 Garden St, Cambridge, MA 02138 USA - Author
Haverford Coll, Dept Phys & Astron, Haverford, PA 19041 USA - Author
Hillsdale Coll, Dept Phys, 33 E Coll St, Hillsdale, MI 49242 USA - Author
Lafayette Coll, Dept Phys, Easton, PA 18042 USA - Author
Montana State Univ, Dept Phys, Bozeman, MT 59717 USA - Author
NASA, Ctr Res & Explorat Space Sci & Technol, GSFC, Greenbelt, MD 20771 USA - Author
NASA, Goddard Space Flight Ctr, Greenbelt, MD 20771 USA - Author
NASA, Goddard Space Flight Ctr, Xray Astrophys Lab, Code 662, Greenbelt, MD 20771 USA - Author
NASA, Marshall Space Flight Ctr, Huntsville, AL 35812 USA - Author
Natl Radio Astron Observ, 1003 Lopezville Rd, Socorro, NM 87801 USA - Author
Natl Radio Astron Observ, 520 Edgemont Rd, Charlottesville, VA 22903 USA - Author
Naval Res Lab, Div Space Sci, Washington, DC 20375 USA - Author
New Mexico Inst Min & Technol, Dept Phys, 801 Leroy Pl, Socorro, NM 87801 USA - Author
Newcastle Univ, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England - Author
Northwestern Univ, Ctr Interdisciplinary Explorat & Res Astrophys CI, Evanston, IL 60208 USA - Author
Oberlin Coll, Dept Phys & Astron, Oberlin, OH 44074 USA - Author
Oregon State Univ, Dept Phys, Corvallis, OR 97331 USA - Author
Peking Univ, Kavli Inst Astron & Astrophys, Beijing 100871, Peoples R China - Author
Penn State Abington, Dept Phys, Abington, PA 19001 USA - Author
Quaid I Azam Univ, Dept Phys, Islamabad 45320, Pakistan - Author
Rochester Inst Technol, Lab Multiwavelength Astrophys, Rochester, NY 14623 USA - Author
Rochester Inst Technol, Sch Phys & Astron, Rochester, NY 14623 USA - Author
Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56100 Pisa, Italy - Author
SUNY Coll Oswego, Dept Phys, Oswego, NY 13126 USA - Author
Texas Tech Univ, Dept Phys, Box 41051, Lubbock, TX 79409 USA - Author
Tufts Univ, Inst Cosmol, Dept Phys & Astron, Medford, MA 02155 USA - Author
Univ Basque Country, Dept Phys, UPV EHU, E-48080 Bilbao, Spain - Author
Univ Basque Country, EHU Quantum Ctr, UPV EHU, Bilbao, Spain - Author
Univ Birmingham, Inst Gravitat Wave Astron, Birmingham B15 2TT, W Midlands, England - Author
Univ Birmingham, Sch Phys & Astron, Birmingham B15 2TT, W Midlands, England - Author
Univ British Columbia, Dept Phys & Astron, 6224 Agr Rd, Vancouver, BC V6T 1Z1, Canada - Author
Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA - Author
Univ Cent Florida, Dept Phys, Orlando, FL 32816 USA - Author
Univ Colorado, Dept Astrophys & Planetary Sci, Boulder, CO 80309 USA - Author
Univ Connecticut, Dept Phys, 196 Auditorium Rd,U-3046, Storrs, CT 06269 USA - Author
Univ Florida, Dept Phys, Gainesville, FL 32611 USA - Author
Univ Hull, Ctr Excellence Data Sci Artificial Intelligence &, Cottingham Rd, Kingston Upon Hull HU6 7RX, Yorks, England - Author
Univ Hull, EA Milne Ctr Astrophys, Cottingham Rd, Kingston Upon Hull HU6 7RX, Yorks, England - Author
Univ Maryland, Dept Astron, College Pk, MD 20742 USA - Author
Univ Michigan, Dept Astron & Astrophys, Ann Arbor, MI 48109 USA - Author
Univ Munster, Inst Theoret Phys, D-48149 Munster, Germany - Author
Univ Pacific, Dept Phys, 3601 Pacific Ave, Stockton, CA 95211 USA - Author
Univ Puerto Rico, Dept Phys, Mayaguez, PR 00681 USA - Author
Univ Southern Denmark, Origins CP3, Campusvej 55, DK-5230 Odense, Denmark - Author
Univ Texas Austin, Dept Phys, Austin, TX 78712 USA - Author
Univ Toronto, Dept Astron & Astrophys, 50 St George St, Toronto, ON M5S 3H4, Canada - Author
Univ Toronto, Dunlap Inst Astron & Astrophys, 50 St George St, Toronto, ON M5S 3H4, Canada - Author
Univ Washington, 18115 Campus Way NE, Bothell, WA 98011 USA - Author
Univ Wisconsin, Dept Phys, Ctr Gravitat Cosmol & Astrophys, POB 413, Milwaukee, WI 53201 USA - Author
Vanderbilt Univ, Dept Phys & Astron, 2301 Vanderbilt Pl, Nashville, TN 37235 USA - Author
West Virginia Univ, Ctr Gravitat Waves & Cosmol, Chestnut Ridge Res Bldg, Morgantown, WV 26505 USA - Author
West Virginia Univ, Dept Phys & Astron, POB 6315, Morgantown, WV 26506 USA - Author
Widener Univ, Dept Phys & Astron, One Univ Pl, Chester, PA 19013 USA - Author
Yale Univ, Dept Astron, 52 Hillhouse Ave, New Haven, CT 06511 USA - Author
Yale Univ, Dept Phys, New Haven, CT 06520 USA - Author
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Abstract

The 15 yr pulsar timing data set collected by the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) shows positive evidence for the presence of a low-frequency gravitational-wave (GW) background. In this paper, we investigate potential cosmological interpretations of this signal, specifically cosmic inflation, scalar-induced GWs, first-order phase transitions, cosmic strings, and domain walls. We find that, with the exception of stable cosmic strings of field theory origin, all these models can reproduce the observed signal. When compared to the standard interpretation in terms of inspiraling supermassive black hole binaries (SMBHBs), many cosmological models seem to provide a better fit resulting in Bayes factors in the range from 10 to 100. However, these results strongly depend on modeling assumptions about the cosmic SMBHB population and, at this stage, should not be regarded as evidence for new physics. Furthermore, we identify excluded parameter regions where the predicted GW signal from cosmological sources significantly exceeds the NANOGrav signal. These parameter constraints are independent of the origin of the NANOGrav signal and illustrate how pulsar timing data provide a new way to constrain the parameter space of these models. Finally, we search for deterministic signals produced by models of ultralight dark matter (ULDM) and dark matter substructures in the Milky Way. We find no evidence for either of these signals and thus report updated constraints on these models. In the case of ULDM, these constraints outperform torsion balance and atomic clock constraints for ULDM coupled to electrons, muons, or gluons.

Keywords

Black-hole binariesCollapseColliding vacuum bubblesConstraintsDomain-wallsEphemerideFermionic dark-matterFrequency gravitational-radiationMassWaves

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Astrophysical Journal Letters due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 9/84, thus managing to position itself as a Q1 (Primer Cuartil), in the category Astronomy & Astrophysics. Notably, the journal is positioned above the 90th percentile.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 68.45. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Field Citation Ratio (FCR) from Dimensions: 341.54 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-16, the following number of citations:

  • WoS: 449

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-16:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 52.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 51 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 280.35.
  • The number of mentions on the social network X (formerly Twitter): 57 (Altmetric).
  • The number of mentions on Wikipedia: 2 (Altmetric).
  • The number of mentions in news outlets: 30 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Australia; Canada; China; Denmark; Germany; Hungary; Israel; Italy; Pakistan; Turkey; United Kingdom; United States of America.