  Optical molecular clocks promise unparalleled sensitivity to the temporal
variation of the electron-to-proton mass ratio and insight into possible new
physics beyond the Standard Model. We propose to realize a molecular clock with
bosonic $^{174}$Yb$_2$ molecules, where the forbidden
$^1$S$_0$$\rightarrow$$^3$P$_0$ clock transition would be induced magnetically.
The use of a bosonic species avoids possible complications due to hyperfine
structure present in fermionic species. While direct clock line
photoassociation would be challenging, weakly bound ground state molecules
could be produced by STIRAP and used instead. The recent scattering
measurements [L. Franchi, et al. New J. Phys 19, 103037 (2017)] enable us to
determine the positions of target $^1$S$_0$+$^3$P$_0$ vibrational levels and
calculate the Franck-Condon factors for clock transitions between ground and
excited molecular states. The resulting magnetically induced Rabi frequencies
are similar to those for atoms hinting that an experimental realization is
feasible. A successful observation could pave the way towards Hz-level
molecular spectroscopy.
