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Dynamical black hole mass measurements in some gas-rich galaxy mergersindicate that they are overmassive relative to their host galaxy properties.Overmassive black holes in these systems present a conflict with the standardprogression of galaxy merger - quasar evolution; an alternative explanation isthat a nuclear concentration of molecular gas driven inward by the merger isaffecting these dynamical black hole mass estimates. We test for the presenceof such gas near the two black holes in NGC 6240 using long-baseline ALMA Band6 observations (beam size 0"06 $\times$ 0"03 or 30 pc$\times$15 pc). We find(4.2-9.8) $\times10^{7}$ M$_{\odot}$ and (1.2-7.7) $\times10^{8}$ M$_{\odot}$of molecular gas within the resolution limit of the original black hole massmeasurements for the north and south black holes, respectively. In the southnucleus, this measurement implies that 6-89% of the original black hole massmeasurement actually comes from molecular gas, resolving the tension in theoriginal black hole scaling relations. For the north, only 5% to 11% is comingfrom molecular gas, suggesting the north black hole is actually overmassive.Our analysis provides the first measurement of significant molecular gas massescontaminating dynamical black hole mass measurements. These high centralmolecular gas densities further present a challenge to theoretical black holeaccretion prescriptions, which often assume accretion proceeds rapidly throughthe central 10 pc.

How to Fuel an AGN: Mapping Circumnuclear Gas in NGC 6240 with ALMA