The black hole mass–bulge mass correlation: bulges versus pseudo-bulges

We investigate the scaling relations between the supermassive black holes (SMBHs) mass (Mbh) and the host bulge mass in elliptical galaxies, classical bulges, and pseudo-bulges. We use two-dimensional image analysis software BUDDA to obtain the structural parameters of 57 galaxies with dynamical Mbh measurement, and determine the bulge K-band luminosities (Lbul,K), stellar masses (Ms), and dynamical masses (Md). The updated Mbh-Lbul,K, MbhMs, and Mbh-Md correlations for elliptical galaxies and classical bulges give Mbh'0.006Ms or 0.003Md. The most tight relationship is log(Mbh/M ) = α + β log(Md/10M ), with α = 8.46 ± 0.05, β = 0.90 ± 0.06, and intrinsic scatter 0 = 0.27 dex. The pseudo-bulges follow their own relations, they harbor an order of magnitude smaller black holes than those in the same massive classical bulges, i.e. Mbh'0.0003Ms or 0.0002Md. Besides the Mbh-σ∗ (bulge stellar velocity dispersion) relation, these bulge type dependent Mbh-Mbul scaling relations provide information for the growth and coevolution histories of SMBHs and their host bulges. We also find the core elliptical galaxies obey the same Mbh-Md relation with other normal elliptical galaxies, that is expected in the dissipationless merger scenario.