Effective Search Templates for a Primordial Stochastic Gravitational Wave Background

Details Effective Search Templates for a Primordial Stochastic Gravitational Wave Background Effective Search Templates for a Primordial Stochastic Gravitational Wave Background

2007-05-21

arxiv.org/abs/0705.2851v2

Phys.Rev.D76:043516,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures, final version to be published in PRD

Scientific paper

10.1103/PhysRevD.76.043516

We calculate the signal-to-noise ratio (SNR) of the stochastic gravitational-wave background in an extreme case that its spectrum has a sharp falloff with its amplitude close to the detection threshold. Such a spectral feature is a characteristic imprint of the change in the number of relativistic degrees of freedom on the stochastic background generated during inflation in the early Universe. We find that, although SNR is maximal with the correct template which is proportional to the assumed real spectrum, its sensitivity to the shape of template is fairly weak indicating that a simple power-law template is sufficient to detect the signature.

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