ournal of C osmology and A stroparticle hysics J No evidence for the blue-tilted power spectrum of relic gravitational waves

ournal of C osmology and A stroparticle hysics J No evidence for the blue-tilted power spectrum of relic gravitational waves
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. In this paper, we constrain the tilt of the power spectrum of relic gravitational waves by combining the data from BICEP2/Keck Array and Planck (BKP) and the Laser Interferometer Gravitational-Waves Observatory (LIGO). Supposing the linearly uniform priors for both the tensor-to-scalar ratio r and the tensor tilt n t , we find n t = 0 . 66 +1 . 83 − 1 . 44 at the 68% confidence level from the data of BKP B-modes. By further adding the LIGO upper limit on the intensity of stochastic gravitational-wave background, the constraint becomes n t = − 0 . 76 +1 . 37 − 0 . 52 at the 68% confidence level by assuming that the tensor amplitude has the similar order of the upper bounds from current CMB experiments. We find that there is no evidence for a blue-tilted power spectrum of relic gravitational waves and either sign of the index of tensor power spectrum is compatible with the current data.