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Recent pulsar timing array results, including the NANOGrav 15-year data set, show evidence for a stochastic gravitational-wave background (GWB) in the nanohertz band. We present a Bayesian framework to compare three possible origins: (i) a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Mengshen Wang , Zuocheng Zhang , Hua Xu

Pulsar timing arrays (PTAs) are Galactic-scale nanohertz-frequency gravitational wave (GW) detectors. Recently, several PTAs have found evidence for the presence of GWs in their datasets, but none of them have achieved a community-defined…

High Energy Astrophysical Phenomena · Physics 2025-10-06 Pratyasha Gitika , Ryan M. Shannon , Matthew Bailes , Daniel J. Reardon , Matthew T. Miles , David J. Champion , Kathrin Grunthal

State-of-the-art searches for gravitational waves (GWs) in pulsar timing array (PTA) datasets model the signal as an isotropic, Gaussian and stationary process described by a power-law. In practice, none of these properties are expected to…

High Energy Astrophysical Phenomena · Physics 2024-03-25 Serena Valtolina , Golam Shaifullah , Anuradha Samajdar , Alberto Sesana

Direct detection of low-frequency gravitational waves ($10^{-9} - 10^{-8}$ Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB)…

Pulsar timing arrays (PTA) are a promising probe to the cosmologically novel nanohertz gravitational wave (GW) regime through the stochastic GW background. In this work, we consider subluminal GW modes as a possible source of correlations…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Reginald Christian Bernardo , Kin-Wang Ng

The recent detection of a common-spectrum stochastic signal by multiple pulsar timing array (PTA) collaborations has provided tentative evidence for a nanohertz (nHz) stochastic gravitational-wave background (SGWB). This signal can be…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Mohit Raj Sah , Suvodip Mukherjee

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they create in the arrival times of pulses from different pulsars. The mean correlation, a function of the angle $\gamma$ between the directions to two…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Bruce Allen , Joseph D. Romano

Evidence has emerged for a stochastic signal correlated among 67 pulsars within the 15-year pulsar-timing data set compiled by the NANOGrav collaboration. Similar signals have been found in data from the European, Indian, Parkes, and…

High Energy Astrophysical Phenomena · Physics 2025-05-26 Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Jeremy G. Baier , Paul T. Baker , Bence Becsy , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Megan E. DeCesar , Paul B. Demorest , Heling Deng , Lankeswar Dey , Timothy Dolch , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Emiko C. Gardiner , Nate Garver-Daniels , Peter A. Gentile , Kyle A. Gersbach , Joseph Glaser , Deborah C. Good , Lydia Guertin , Kayhan Gultekin , Jeffrey S. Hazboun , Ross J. Jennings , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey S. Key , Nima Laal , Michael T. Lam , William G. Lamb , Bjorn Larsen , T. Joseph W. Lazio , Natalia Lewandowska , 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 , Patrick M. Meyers , Hannah Middleton , Chiara M. F. Mingarelli , Andrea Mitridate , Christopher J. Moore , 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 , Jessie C. Runnoe , Alexander Saffer , 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 , Alberto Vecchio , Sarah J. Vigeland , Haley M. Wahl , Caitlin A. Witt , David Wright , Olivia Young

Pulsar Timing Arrays (PTAs) are a collection of precisely timed millisecond pulsars (MSPs) that can search for gravitational waves (GWs) in the nanohertz frequency range by observing characteristic signatures in the timing residuals. The…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Brian Christy , Ryan Anella , Andrea Lommen , Lee Samuel Finn , Richard Camuccio , Emma Handzo

Pulsar timing arrays are sensitive to low-frequency gravitational waves (GWs), such as those produced by supermassive binary black holes at subparsec separations. The incoherent superposition of GWs emitted by a cosmological population of…

High Energy Astrophysical Phenomena · Physics 2025-11-05 Shashwat C. Sardesai , Gabriel E. Freedman , Sarah J. Vigeland , Caitlin A. Witt

The recent detection of nanohertz stochastic gravitational-wave backgrounds (SGWBs) by pulsar timing arrays (PTAs) promises unique insights into astrophysical and cosmological origins. However, traditional Markov Chain Monte Carlo (MCMC)…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-12 Junrong Lai , Changhong Li

Pulsar timing array (PTA) experiments have recently provided strong evidence for the signal of the stochastic gravitational wave background (SGWB) in the nHz-frequency band. These experiments have shown a statistical preference for the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-18 Rubén Arjona , Savvas Nesseris , Sachiko Kuroyanagi

Recently, many different pulsar timing array (PTA) collaborations have reported strong evidence for a common stochastic process in their data sets. The reported amplitudes are in tension with previously computed upper limits. In this paper,…

High Energy Astrophysical Phenomena · Physics 2022-06-29 Aaron D. Johnson , Sarah J. Vigeland , Xavier Siemens , Stephen R. Taylor

Globally, Pulsar Timing Array (PTA) experiments have revealed evidence supporting an existing gravitational wave background (GWB) signal in the PTA data set. Apart from acquiring more observations, the sensitivity of PTA experiments can be…

Instrumentation and Methods for Astrophysics · Physics 2025-04-03 El Mehdi Zahraoui , Patricio Maturana-Russel , Willem van Straten , Renate Meyer , Sergei Gulyaev

Pulsar timing arrays (PTAs) have recently entered the detection era, quickly moving beyond the goal of simply improving sensitivity at the lowest frequencies for the sake of observing the stochastic gravitational wave background (GWB), and…

Pulsar timing arrays aim to detect nanohertz-frequency gravitational waves (GWs). A background of GWs modulates pulsar arrival times and manifests as a stochastic process, common to all pulsars, with a signature spatial correlation. Here we…

The Hellings-Downs (HD) correlation, which characterizes the signature of a stochastic gravitational wave background measured via Pulsar Timing Arrays (PTA), is derived using a harmonic formalism. This approach closely follows the framework…

General Relativity and Quantum Cosmology · Physics 2025-04-25 Cyril Pitrou , Giulia Cusin

We report multiple lines of evidence for a stochastic signal that is correlated among 67 pulsars from the 15-year pulsar-timing data set collected by the North American Nanohertz Observatory for Gravitational Waves. The correlations follow…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Bence Becsy , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Rand Burnette , Robin Case , Maria Charisi , Shami Chatterjee , Katerina Chatziioannou , Belinda D. Cheeseboro , Siyuan Chen , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Curt J. Cutler , Megan E. DeCesar , Dallas DeGan , Paul B. Demorest , Heling Deng , Timothy Dolch , Brendan Drachler , Justin A. Ellis , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Nate Garver-Daniels , Peter A. Gentile , Kyle A. Gersbach , Joseph Glaser , Deborah C. Good , Kayhan Gultekin , Jeffrey S. Hazboun , Sophie Hourihane , Kristina Islo , Ross J. Jennings , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey S. Key , Tonia C. Klein , Nima Laal , Michael T. Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Tyson B. Littenberg , Tingting Liu , Andrea Lommen , Duncan R. Lorimer , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Margaret A. Mattson , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Natasha McMann , Bradley W. Meyers , Patrick M. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Priyamvada Natarajan , Cherry Ng , David J. Nice , Stella Koch Ocker , Ken D. Olum , Timothy T. Pennucci , Benetge B. P. Perera , Polina Petrov , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Levi Schult , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Jerry P. Sun , Abhimanyu Susobhanan , Joseph K. Swiggum , Jacob Taylor , Stephen R. Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Rutger van Haasteren , Sarah J. Vigeland , Haley M. Wahl , Qiaohong Wang , Caitlin A. Witt , Olivia Young

Incredible progress on the theoretical uncertainty of the spatial correlations of the stochastic gravitational wave (GW) background were recently made. However, it remains to realize the impact of this theoretical uncertainty on PTA cross…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Reginald Christian Bernardo , Kin-Wang Ng