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High-precision pulsar timing is central to a wide range of astrophysics and fundamental physics applications. When timing an ensemble of millisecond pulsars in different sky positions, known as a pulsar timing array (PTA), one can search…

Instrumentation and Methods for Astrophysics · Physics 2018-10-09 R. N. Caballero

As we move into an era of more sensitive pulsar timing array data sets, we may be able to resolve individual gravitational wave sources from the stochastic gravitational wave background. While some of these sources, like orbiting massive…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Jacob A. Taylor , Rand Burnette , Bence Bécsy , Neil J. Cornish

Pulse profile stability in millisecond pulsars (MSPs) is a key factor in achieving high-precision timing essential for detecting nanohertz gravitational waves with Pulsar Timing Arrays (PTAs). In this work, we present a systematic analysis…

High Energy Astrophysical Phenomena · Physics 2025-09-17 Ankita Ghosh , Bhaswati Bhattacharyya , Rahul Sharan , Patrick Weltevrede , Jayanta Roy , Sangita Kumari

The increasing sensitivities of pulsar timing arrays to ultra-low frequency (nHz) gravitational waves promises to achieve direct gravitational wave detection within the next 5-10 years. While there are many parallel efforts being made in…

High Energy Astrophysical Phenomena · Physics 2015-05-27 C. Messenger , A. Lommen , P. Demorest , S. Ransom

Pulsar timing array (PTA) is expected to detect gravitational wave background (GWB) in the nanohertz band within the next decade. This provides an opportunity to test the gravity theory and cosmology. A typical data analysis method to…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Yu Hu , Pan-Pan Wang , Yu-Jie Tan , Cheng-Gang Shao

The characterization of nanohertz-frequency gravitational waves (GWs) with pulsar-timing arrays requires a continual expansion of datasets and monitored pulsars. Whereas detection of the stochastic GW background is predicated on measuring a…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Stephen R. Taylor , Joseph Simon , Levi Schult , Nihan Pol , William G. Lamb

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

Recent pulsar timing array (PTA) experiments have reported strong evidence of the stochastic gravitational wave background (SGWB). If interpreted as primordial Gravitational Waves (pGWs), the signal favors a strongly blue-tilted spectrum.…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Taotao Qiu , Mian Zhu

Gravitational wave (GW) detection is now commonplace and as the sensitivity of the global network of GW detectors improves, we will observe $\mathcal{O}(100)$s of transient GW events per year. The current methods used to estimate their…

Instrumentation and Methods for Astrophysics · Physics 2022-01-21 Hunter Gabbard , Chris Messenger , Ik Siong Heng , Francesco Tonolini , Roderick Murray-Smith

Pulsar timing arrays (PTAs) are designed to detect gravitational waves with periods from several months to several years, e.g. those produced by by wide supermassive black-hole binaries in the centers of distant galaxies. Here we show that…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Rutger van Haasteren , Yuri Levin

The stochastic gravitational wave background (SGWB) detected recently by the pulsar timing arrays (PTAs) observations may have cosmological origins. In this work we consider a model of single field inflation containing an intermediate phase…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Hassan Firouzjahi , Alireza Talebian

Simple analytic expressions are derived for the sensitivity curve of a pulsar timing array (PTA) to both a monochromatic source of gravitational waves and an isotropic stochastic background of gravitational waves. These derivations are…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Christopher J. Moore

Gravitational wave (GW) searches using pulsar timing arrays (PTAs) are commonly assumed to be limited to a GW frequency of $\lesssim 4\times 10^{-7}$Hz given by the Nyquist rate associated with the average observational cadence of $2$ weeks…

High Energy Astrophysical Phenomena · Physics 2025-04-01 Xuan Tao , Yan Wang , Soumya D. Mohanty

Stochastic gravitational-wave background (SGWB) poses significant challenges for data analysis and parameter inference in future space-based gravitational-wave missions, such as LISA and Taiji, as it appears as an additional stochastic…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Jing-yi Wu , Yong Tang

Searching for gravitational waves in pulsar timing array data is computationally intensive. The data is unevenly sampled, and the noise is heteroscedastic, necessitating the use of a time-domain likelihood function with attendant expensive…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Bence Bécsy , Neil J. Cornish , Matthew C. Digman

The noise in millisecond pulsar (MSP) timing data can include contributions from observing instruments, the interstellar medium, the solar wind, solar system ephemeris errors, and the pulsars themselves. The noise environment must be…

Pulsar timing arrays (PTAs) are being used to search for very low frequency gravitational waves. A gravitational wave signal appears in pulsar timing residuals through two components: one independent of and one dependent on the pulsar's…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Matthew Pitkin

Statistical anisotropy in the nanohertz-frequency gravitational-wave background (GWB) is expected to be detected by pulsar timing arrays (PTAs) in the near future. By developing a frequentist statistical framework that intrinsically…

High Energy Astrophysical Phenomena · Physics 2022-12-14 Nihan Pol , Stephen R. Taylor , Joseph D. Romano

This is a very brief summary of the techniques I used to analyze the IPTA challenge 1 data sets. I tried many things, and more failed than succeeded, but in the end I found two approaches that appear to work based on tests done using the…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Neil J. Cornish
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