The near-IR $M_{bh}$ - L and $M_{bh}$ - n relations

We present near-IR surface photometry (2D-profiling) for a sample of 29 nearby galaxies for which super-massive black hole (SMBH) masses are constrained. The data is derived from the UKIDSS-LASS survey representing a significant improvement in image quality and depth over previous studies based on 2MASS data. We derive the spheroid luminosity and spheroid S\'ersic index for each galaxy with GALFIT3 and use these data to construct SMBH mass -bulge luminosity ($M_{\rm bh}$--$L$) and SMBH - S\'ersic index ($M_{\rm bh}$--$n$) relations. The best fit K-band relation for elliptical and disk galaxies is $\log(M_{\rm bh}/M_{\odot})= -0.36(\pm 0.03) (M_{\rm K} + 18) + 6.17(\pm 0.16)$ with an intrinsic scatter of 0.4$^{+0.09}_{-0.06}$dex whilst for elliptical galaxies we find $\log(M_{\rm bh}/M_{\odot})= -0.42(\pm 0.06) (M_{\rm K} + 22) + 7.5(\pm 0.15)$ with an intrinsic scatter of 0.31$^{+0.087}_{-0.047}$dex. Our revised $M_{\rm bh}$--$L$ relation agrees closely with the previous near-IR constraint by \citet{tex:G07}. The lack of improvement in the intrinsic scatter in moving to higher quality near-IR data suggests that the SMBH relations are not currently limited by the quality of the imaging data but is either intrinsic or a result of uncertainty in the precise number of required components required in the profiling process. Contrary to expectation (see \citealt{tex:GD07a}) a relation between SMBH mass and the S\'ersic index was not found at near-IR wavelengths. This latter outcome is believed to be explained by the generic inconsistencies between 1D and 2D galaxy profiling which are currently under further investigation.
Comment: 35 pages, 37 figures, MNRAS accepted