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

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 six-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 similar to 5 per cent and similar to 2 per cent level (68 per cent confidence), assuming two and five million kilometre arm-length, respectively.