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We derive scaling laws for the signal-to-noise ratio of the optimal cross-correlation statistic, and show that the large power-law increase of the signal-to-noise ratio as a function of the the observation time $T$ that is usually assumed…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Xavier Siemens , Justin Ellis , Fredrick Jenet , Joseph D. Romano

The recent detection of gravitational waves (GWs) by pulsar timing array (PTA) collaborations spurred a variety of questions regarding the origin of the signal and the properties of its sources. The amplitude of a GW background produced by…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-26 Gabriela Sato-Polito , Matias Zaldarriaga

Gravitational waves provide a new probe of the Universe which can reveal a number of cosmological and astrophysical phenomena that cannot be observed by electromagnetic waves. Different frequencies of gravitational waves are detected by…

General Relativity and Quantum Cosmology · Physics 2021-11-08 Jun'ichi Yokoyama

We analyze timing noise from five years of Arecibo and Green Bank observations of the seventeen millisecond pulsars of the North-American Nanohertz Observatory for Gravitational Waves (NANOGrav) pulsar timing array. The weighted…

Pulsar timing arrays are sensitive to low-frequency gravitational waves (GWs), which induce correlated changes in millisecond pulsars' timing residuals. PTA collaborations around the world have recently announced evidence of a nanohertz…

High Energy Astrophysical Phenomena · Physics 2024-10-24 Shashwat C. Sardesai , Joseph Simon , Sarah J. Vigeland

We present constraints on the nanohertz gravitational wave background (GWB) using X-ray pulsar timing data from the Neutron Star Interior Composition Explorer(\textit{NICER}). By analyzing six millisecond pulsars over a six-year…

High Energy Astrophysical Phenomena · Physics 2025-12-22 Tian-Yong Cao , Shi-jie Zheng , Shu-Xu Yi , Ming-Yu Ge , Yi-Tao Yin , Yao-Ming Duan , Xiang Yang , Wen

Precision timing of large arrays (>50) of millisecond pulsars will detect the nanohertz gravitational-wave emission from supermassive binary black holes within the next ~3-7 years. We review the scientific opportunities of these detections,…

Among efforts to detect gravitational radiation, pulsar timing arrays are uniquely poised to detect "memory" signatures, permanent perturbations in spacetime from highly energetic astrophysical events such as mergers of supermassive black…

One of the most promising targets for Pulsar Timing Arrays (PTAs) is identifying an individual supermassive black hole binary (SMBHB) out of the population of binaries theorized to produce a gravitational wave background (GWB). In this…

Instrumentation and Methods for Astrophysics · Physics 2026-04-21 Levi Schult , Polina Petrov , Stephen R. Taylor , Nihan Pol , Nima Laal , Maria Charisi , Chung-Pei Ma

Observations have revealed that nearly all galaxies contain supermassive black holes (SMBHs) at their centers. When galaxies merge, these SMBHs form SMBH binaries (SMBHBs) that emit low-frequency gravitational waves (GWs). The incoherent…

Instrumentation and Methods for Astrophysics · Physics 2018-08-14 Sarah J. Vigeland , Kristina Islo , Stephen R. Taylor , Justin A. Ellis

The recent observation of a common red-noise process in pulsar timing arrays (PTAs) suggests that the detection of nanohertz gravitational waves might be around the corner. However, in order to confidently attribute this red process to…

Instrumentation and Methods for Astrophysics · Physics 2026-03-25 Valentina Di Marco , Andrew Zic , Matthew T. Miles , Daniel J. Reardon , Eric Thrane , Ryan M. Shannon

The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) collaboration has recently reported strong evidence for a signal at nanohertz, potentially the first detection of the stochastic gravitational-wave background…

General Relativity and Quantum Cosmology · Physics 2025-03-27 Qin Tan , You Wu , Lang Liu

Pulsar-timing collaborations have recently reported evidence for the detection of an isotropic stochastic gravitational-wave background consistent with one sourced by a population of inspiralling supermassive black hole binaries. However, a…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-09 Neha Anil Kumar , Mesut Çalışkan , Gabriela Sato-Polito , Marc Kamionkowski , Lingyuan Ji

The stochastic gravitational wave background (SGWB) in the nanohertz (nHz) regime, detectable by pulsar timing arrays (PTAs), provides a promising probe of the cosmic population of supermassive black hole binaries (SMBHBs). These binaries…

The nano-Hertz gravitational wave background (GWB) is a key probe of supermassive black hole (SMBH) formation and evolution, if the background arises predominantly from binary SMBHs. The amplitude of the GWB, which is typically quantified…

Astrophysics of Galaxies · Physics 2023-06-02 Jean J. Somalwar , Vikram Ravi

Pulsar timing array collaborations have recently reported evidence for a noise process with a common spectrum among the millisecond pulsars in the arrays. The spectral properties of this common-noise process are consistent with expectations…

Pulsar-timing arrays (PTAs) are seeking gravitational waves from supermassive-black-hole binaries, and there are prospects to complement these searches with stellar-astrometry measurements. Theorists still disagree, however, as to whether…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-19 Selim C. Hotinli , Marc Kamionkowski , Andrew H. Jaffe

The cosmic merger history of supermassive black hole binaries (SMBHBs) is expected to produce a low-frequency gravitational wave background (GWB). Here we investigate how signs of the discrete nature of this GWB can manifest in pulsar…

High Energy Astrophysical Phenomena · Physics 2025-01-16 Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Jeremy George Baier , Paul T. Baker , Bence Bécsy , Laura Blecha , Adam Brazier , Paul R. Brook , Lucas Brown , 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 , 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 , 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 , 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 , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Jessie C. Runnoe , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Brent 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 , Sarah J. Vigeland , Haley M. Wahl , London Willson , Caitlin A. Witt , David Wright , Olivia Young

Convincing evidence of a stochastic gravitational wave (GW) background has been found by the NANOGrav Collaboration in the 15-year data set. From this signal, we can evaluate the possibility of its source being from the early Universe…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-30 Chris Choi , Jacob Magallanes , Murman Gurgenidze , Tina Kahniashvili
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