Detection methods for stochastic gravitational-wave backgrounds: a unified treatment

Area of Science:

• Astrophysics
• Cosmology
• Gravitational Wave Astronomy

Background:

• A stochastic background of gravitational radiation is a key prediction of many cosmological and astrophysical models.
• Detecting this background offers insights into the early Universe and extreme astrophysical events.

Purpose of the Study:

• To provide a comprehensive review of current and proposed detection methods for stochastic gravitational radiation backgrounds.
• To unify the treatment of diverse search strategies by focusing on data analysis principles.

Main Methods:

• Analysis of Bayesian and frequentist search techniques.
• Inclusion of data from ground-based and space-based laser interferometers, spacecraft Doppler tracking, and pulsar timing arrays.
• Consideration of signal and noise models, prior probability distributions, and detector response functions.

Main Results:

• A unified framework for understanding gravitational wave background searches.
• Comparison of different statistical and instrumental approaches.
• Identification of key data analysis challenges and solutions.

Conclusions:

• The choice of signal/noise models and priors fundamentally defines a search strategy.
• This review serves as a self-contained resource for researchers entering the field.
• Advanced data analysis is crucial for the successful detection of gravitational wave backgrounds.