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Physical Review D

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Effective search templates for a primordial stochastic gravitational wave background

Yoshiaki Himemoto

Masahide Yamaguchi

Jun’ichi Yokoyama

Department of Physics, College of Humanities and Sciences, Nihon University, Tokyo 156-8550, Japan

Center for Educational Assistance, Shibaura Institute of Technology, Saitama 337-8570, Japan

Department of Physics and Mathematics, Aoyama Gakuin University, Sagamihara 229-8558, Japan

Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan

Phys. Rev. D 76, 043516 – Published 20 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.043516

Abstract

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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