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We describe a correlation between the mass M_BH of a galaxy's central blackhole and the luminosity-weighted line-of-sight velocity dispersion sigma_ewithin the half-light radius. The result is based on a sample of 26 galaxies,including 13 galaxies with new determinations of black hole masses from HubbleSpace Telescope measurements of stellar kinematics. The best-fit correlation isM_BH = 1.2 (+-0.2) x 10^8 M_sun (sigma_e/200 km/s)^(3.75 (+-0.3))over almostthree orders of magnitude in M_BH; the scatter in M_BH at fixed sigma_e is only0.30 dex and most of this is due to observational errors. The M_BH-sigma_erelation is of interest not only for its strong predictive power but alsobecause it implies that central black hole mass is constrained by and closelyrelated to properties of the host galaxy's bulge.Comment: 4 pages, accepted ApJ Letters, figure added and minor correction

A Relationship between Nuclear Black Hole Mass and Galaxy Velocity Dispersion