A Multi-Messenger Search for the Supermassive Black Hole Binary in 3C 66B with the Parkes Pulsar Timing Array

A sub-parsec supermassive black hole binary at the center of the galaxy 3C 66B is a promising candidate for continuous gravitational wave searches with Pulsar Timing Arrays. In this work, we search for such a signal in the third data release of the Parkes Pulsar Timing Array. Matching our priors to estimates of binary parameters from electromagnetic observations, we find log Bayes factor of 0.22, highlighting that the source can be neither confirmed nor ruled out. We place upper limits at 95% credibility on the chirp mass $M < 6.05 \times 10^{8}\ M_{\odot}$, and on the characteristic strain amplitude $\textrm{log}_{10}(h_0)< -14.44$. This partially rules out the parameter space suggested by electromagnetic observations of 3C 66B. We also independently reproduce the calculation of the chirp mass with the 3-mm flux monitor data from the unresolved core of 3C 66B. Based on this, we outline a new methodology for constructing a joint likelihood of electromagnetic and gravitational-wave data from supermassive black hole binaries. Finally, we suggest that firmly established SMBHB candidates may be treated as standard sirens for complementary constraints on the universe expansion rate. With this, we obtain constraints on the Hubble constant with 3C 66B.