Note on pulsar timing array correlation functions induced by peculiar velocities

arXiv:2601.08915 · astro-ph.CO, gr-qc, hep-ph · Submitted 2026-01-13 · Read on arXiv

astro-ph.CO, gr-qc, hep-ph

Submitted: 2026-01-13

Updated: 2026-09-14

Comments: 4 pages, 2 figures, v2: published version

Journal ref: Phys.Rev.D 114 (2026) 6, 063518

DOI: 10.1103/qvc8-45nd

Code: https://github.com/KeisukeInomata0/pyORFs

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• pulsar timing arrays — 7× in this paper · explained in 2 episodes
• Anisotropy — 3× in this paper · explained in 3 episodes

Sources

• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• The MeerKAT Pulsar Timing Array: The first search for gravitational waves with the MeerKAT radio telescope
• Kinematic anisotropies and pulsar timing arrays
• Measuring kinematic anisotropies with pulsar timing arrays
• Strong scale-dependence does not enhance the kinematic boosting of gravitational wave backgrounds
• Kinematic Anisotropies in PTA Observations: Analytical Toolkit
• The search for anisotropy in the gravitational-wave background with pulsar-timing arrays
• Linear polarization of the stochastic gravitational-wave background with pulsar timing arrays
• Efficient Computation of Overlap Reduction Functions for Pulsar Timing Arrays
• Overlap reduction functions for pulsar timing arrays and astrometry
• Doppler boosting the stochastic gravitational wave background
• Characterising gravitational wave stochastic background anisotropy with Pulsar Timing Arrays
• Measuring Statistical isotropy of the CMB anisotropy
• The Cosmic Microwave Background Bipolar Power Spectrum: Basic Formalism and Applications
• Bipolar Harmonic encoding of CMB correlation patterns
• Odd-Parity Bipolar Spherical Harmonics
• Mapping gravitational-wave backgrounds using methods from CMB analysis: Application to pulsar timing arrays

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