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Stellar binary black holes in the LISA band: a new class of standard sirens

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arxiv 1703.01300 v1 pith:THO4YCFJ submitted 2017-03-03 astro-ph.CO gr-qc

Stellar binary black holes in the LISA band: a new class of standard sirens

classification astro-ph.CO gr-qc
keywords lisabhbsblackclassdistanceeffectivehubbleligo
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The recent Advanced LIGO detections of coalescing black hole binaries (BHBs) imply a large population of such systems emitting at milli-Hz frequencies, accessible to the Laser Interferometer Space Antenna (LISA). We show that these systems provide a new class of cosmological standard sirens. Direct LISA luminosity distance -$D_l$- measurements, combined with the inhomogeneous redshift -$z$- distribution of possible host galaxies provide an effective way to populate the $D_l-z$ diagram at $z<0.1$, thus allowing a precise local measurement of the Hubble expansion rate. To be effective, the method requires a sufficiently precise LISA distance determination and sky localization of a sizeable number of BHBs, which is best achieved for a 6-link detector configuration. We find that, for a BHB population consistent with current fiducial LIGO rates, the Hubble constant $H_0$ can be determined at the $\sim$5% and $\sim$2% level (68% confidence) assuming two and five million Km arm-length respectively.

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