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Long-term precise timing of Galactic millisecond pulsars holds great promise for measuring the long-period (months-to-years) astrophysical gravitational waves. Several gravitational-wave observational programs, called Pulsar Timing Arrays…

Astrophysics · Physics 2009-11-13 Rutger van Haasteren , Yuri Levin , Patrick McDonald , Tingting Lu

Pulsar timing arrays (PTAs) use an array of millisecond pulsars to search for gravitational waves in the nanohertz regime in pulse time of arrival data. This paper presents rigorous tests of PTA methods, examining their consistency across…

High Energy Astrophysical Phenomena · Physics 2025-05-14 Aaron D. Johnson , Patrick M. Meyers , Paul T. Baker , Neil J. Cornish , Jeffrey S. Hazboun , Tyson B. Littenberg , Joseph D. Romano , Stephen R. Taylor , Michele Vallisneri , Sarah J. Vigeland , Ken D. Olum , Xavier Siemens , Justin A. Ellis , Rutger van Haasteren , Sophie Hourihane , Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Bence Bécsy , 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 , Brendan Drachler , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Nate Garver-Daniels , Peter A. Gentile , Joseph Glaser , Deborah C. Good , Kayhan Gültekin , Ross J. Jennings , 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 , T. Joseph W. Lazio , Natalia Lewandowska , Tingting Liu , Duncan R. Lorimer , 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 , Timothy T. Pennucci , Benetge B. P. Perera , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Shashwat C. Sardesai , Carl Schmiedekamp , Ann Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Joseph Simon , Magdalena S. Siwek , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Abhimanyu Susobhanan , Joseph K. Swiggum , Jacob E. Turner , Caner Unal , Haley M. Wahl , Caitlin A. Witt , Olivia Young

In Pulsar Timing Array (PTA) data analysis, noise is typically assumed to be Gaussian, and the marginalized likelihood has a well-established analytical form derived within the framework of Gaussian processes. However, this Gaussianity…

Instrumentation and Methods for Astrophysics · Physics 2026-01-30 Mikel Falxa , Alberto Sesana

The Australian, Chinese, European, Indian, and North American pulsar timing array (PTA) collaborations recently reported, at varying levels, evidence for the presence of a nanohertz gravitational wave background (GWB). Given that each PTA…

High Energy Astrophysical Phenomena · Physics 2023-09-06 The International Pulsar Timing Array Collaboration , G. Agazie , J. Antoniadis , A. Anumarlapudi , A. M. Archibald , P. Arumugam , S. Arumugam , Z. Arzoumanian , J. Askew , S. Babak , M. Bagchi , M. Bailes , A. -S. Bak Nielsen , P. T. Baker , C. G. Bassa , A. Bathula , B. Bécsy , A. Berthereau , N. D. R. Bhat , L. Blecha , M. Bonetti , E. Bortolas , A. Brazier , P. R. Brook , M. Burgay , S. Burke-Spolaor , R. Burnette , R. N. Caballero , A. Cameron , R. Case , A. Chalumeau , D. J. Champion , S. Chanlaridis , M. Charisi , S. Chatterjee , K. Chatziioannou , B. D. Cheeseboro , S. Chen , Z. -C. Chen , I. Cognard , T. Cohen , W. A. Coles , J. M. Cordes , N. J. Cornish , F. Crawford , H. T. Cromartie , K. Crowter , M. Curyło , C. J. Cutler , S. Dai , S. Dandapat , D. Deb , M. E. DeCesar , D. DeGan , P. B. Demorest , H. Deng , S. Desai , G. Desvignes , L. Dey , N. Dhanda-Batra , V. Di Marco , T. Dolch , B. Drachler , C. Dwivedi , J. A. Ellis , M. Falxa , Y. Feng , R. D. Ferdman , E. C. Ferrara , W. Fiore , E. Fonseca , A. Franchini , G. E. Freedman , J. R. Gair , N. Garver-Daniels , P. A. Gentile , K. A. Gersbach , J. Glaser , D. C. Good , B. Goncharov , A. Gopakumar , E. Graikou , J. -M. Grießmeier , L. Guillemot , K. Gültekin , Y. J. Guo , Y. Gupta , K. Grunthal , J. S. Hazboun , S. Hisano , G. B. Hobbs , S. Hourihane , H. Hu , F. Iraci , K. Islo , D. Izquierdo-Villalba , J. Jang , J. Jawor , G. H. Janssen , R. J. Jennings , A. Jessner , A. D. Johnson , M. L. Jones , B. C. Joshi , A. R. Kaiser , D. L. Kaplan , A. Kapur , F. Kareem , R. Karuppusamy , E. F. Keane , M. J. Keith , L. Z. Kelley , M. Kerr , J. S. Key , D. Kharbanda , T. Kikunaga , T. C. Klein , N. Kolhe , M. Kramer , M. A. Krishnakumar , A. Kulkarni , N. Laal , K. Lackeos , M. T. Lam , W. G. Lamb , B. B. Larsen , T. J. W. Lazio , K. J. Lee , Y. Levin , N. Lewandowska , T. B. Littenberg , K. Liu , T. Liu , Y. Liu , A. Lommen , D. R. Lorimer , M. E. Lower , J. Luo , R. Luo , R. S. Lynch , A. G. Lyne , C. -P. Ma , Y. Maan , D. R. Madison , R. A. Main , R. N. Manchester , R. Mandow , M. A. Mattson , A. McEwen , J. W. McKee , M. A. McLaughlin , N. McMann , B. W. Meyers , P. M. Meyers , M. B. Mickaliger , M. Miles , C. M. F. Mingarelli , A. Mitridate , P. Natarajan , R. S. Nathan , C. Ng , D. J. Nice , I. C. Niţu , K. Nobleson , S. K. Ocker , K. D. Olum , S. Osłowski , A. K. Paladi , A. Parthasarathy , T. T. Pennucci , B. B. P. Perera , D. Perrodin , A. Petiteau , P. Petrov , N. S. Pol , N. K. Porayko , A. Possenti , T. Prabu , H. Quelquejay Leclere , H. A. Radovan , P. Rana , S. M. Ransom , P. S. Ray , D. J. Reardon , A. F. Rogers , J. D. Romano , C. J. Russell , A. Samajdar , S. A. Sanidas , S. C. Sardesai , A. Schmiedekamp , C. Schmiedekamp , K. Schmitz , L. Schult , A. Sesana , G. Shaifullah , R. M. Shannon , B. J. Shapiro-Albert , X. Siemens , J. Simon , J. Singha , M. S. Siwek , L. Speri , R. Spiewak , A. Srivastava , I. H. Stairs , B. W. Stappers , D. R. Stinebring , K. Stovall , J. P. Sun , M. Surnis , S. C. Susarla , A. Susobhanan , J. K. Swiggum , K. Takahashi , P. Tarafdar , J. Taylor , S. R. Taylor , G. Theureau , E. Thrane , N. Thyagarajan , C. Tiburzi , L. Toomey , J. E. Turner , C. Unal , M. Vallisneri , E. van der Wateren , R. van Haasteren , A. Vecchio , V. Venkatraman Krishnan , J. P. W. Verbiest , S. J. Vigeland , H. M. Wahl , S. Wang , Q. Wang , C. A. Witt , J. Wang , L. Wang , K. E. Wayt , Z. Wu , O. Young , L. Zhang , S. Zhang , X. -J. Zhu , A. Zic

We present the results of the search for an isotropic stochastic gravitational wave background (GWB) at nanohertz frequencies using the second data release of the European Pulsar Timing Array (EPTA) for 25 millisecond pulsars and a…

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

The announcement in the summer of 2023 about the discovery of evidence for a gravitational wave background (GWB) using pulsar timing arrays (PTAs) has ignited both the PTA and the larger scientific community's interest in the experiment and…

Instrumentation and Methods for Astrophysics · Physics 2025-04-22 Nima Laal , Stephen R. Taylor , Rutger van Haasteren , William G Lamb , Xavier Siemens

Pulsar timing arrays (PTAs) are essential tools for detecting the stochastic gravitational wave background (SGWB), but their analysis faces significant computational challenges. Traditional methods like Markov-chain Monte Carlo (MCMC)…

Instrumentation and Methods for Astrophysics · Physics 2024-12-30 Bo Liang , Chang Liu , Tianyu Zhao , Minghui Du , Manjia Liang , Ruijun Shi , Hong Guo , Yuxiang Xu , Li-e Qiang , Peng Xu , Wei-Liang Qian , Ziren Luo

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…

Pulsar timing arrays (PTAs) have made tremendous progress and are now showing strong evidence for the gravitational-wave background (GWB). Further probing the origin and characteristics of the GWB will require more generalized analysis…

Instrumentation and Methods for Astrophysics · Physics 2025-02-06 Kyle A. Gersbach , Stephen R. Taylor , Patrick M. Meyers , Joseph D. Romano

The stochastic gravitational wave background (SGWB) can be observed in the nanohertz band using a pulsar timing array (PTA). Here a computationally efficient state-space framework is developed for analysing SGWB data, in which the…

Using public pulse time-of-arrival data from five pulsar timing arrays (PTAs), we search for a stationary, isotropic, and unpolarized nHz stochastic gravitational-wave background (SGWB). This analysis is more sensitive than previous…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Wang-Wei Yu , Bruce Allen

Studies have shown that the use of pulsar timing arrays (PTAs) is among the approaches with the highest potential to detect very low-frequency gravitational waves in the near future. Although the capture of gravitational waves (GWs) by PTAs…

Instrumentation and Methods for Astrophysics · Physics 2020-10-13 MengNi Chen , Yuanhong Zhong , Yi Feng , Di Li , Jin Li

Pulsar Timing Arrays (PTA) provide a powerful framework to measure low-frequency gravitational waves, but accuracy and robustness of the results are challenged by complex noise processes that must be accurately modeled. Standard PTA…

Instrumentation and Methods for Astrophysics · Physics 2026-05-20 Eleonora Villa , Luigi D'Amico , Aldo Barca , Fatima Modica Bittordo , Francesco Alì , Massimo Meneghetti , Luca Naso

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)…

The recent announcement of evidence for a stochastic background of gravitational waves (GWB) in pulsar timing array (PTA) data has piqued interest across the scientific community. A combined analysis of all currently available data holds…

Instrumentation and Methods for Astrophysics · Physics 2025-09-01 Serena Valtolina , Rutger van Haasteren

A successful measurement of the Stochastic Gravitational Wave Background (SGWB) in Pulsar Timing Arrays (PTAs) would open up a new window through which to test the predictions of General Relativity (GR). We consider how these measurements…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-29 Qiuyue Liang , Meng-Xiang Lin , Mark Trodden

Pulsar Timing Array (PTA) experiments have entered a new era with evidence for a nanoHertz gravitational wave background (GWB). This review describes the physics of detection, detailing the noise models and cross-correlation techniques…

High Energy Astrophysical Phenomena · Physics 2026-04-01 C. M. F. Mingarelli , J. A. Casey-Clyde , Y. T. Chang , E. Eisenberg , F. Hutchison , N. Khusid , B. Larsen , A. Moran , F. Semenzato , L. Willson , Q. Zheng

The past decade has been a transformative period for pulsar timing arrays (PTAs) and their search for nanohertz gravitational waves (GWs). This progress has been driven by collective advances in instrumentation for pulsar timing…

High Energy Astrophysical Phenomena · Physics 2026-02-17 Kuo Liu , Siyuan Chen

Pulsar Timing Arrays (PTA) around the world are using the incredible consistency of millisecond pulsars to measure low frequency gravitational waves from (super)Massive Black Hole (MBH) binaries. We use comprehensive MBH merger models based…

High Energy Astrophysical Phenomena · Physics 2017-09-06 Luke Zoltan Kelley , Laura Blecha , Lars Hernquist , Alberto Sesana , Stephen R. Taylor
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