Study of HgOH to assess its suitability for electron electric dipole moment searches

In search of suitable molecular candidates for probing the electric dipole moment (EDM) of the electron (d<inf>e</inf>), a property that arises due to parity and time-reversal violating (P,T-odd) interactions, we consider the triatomic mercury hydroxide (HgOH) molecule. The impetus for this proposal is based on previous works on two systems: the recently proposed ytterbium hydroxide (YbOH) experiment that demonstrates the advantages of polyatomics for such EDM searches, and the finding that mercury halides provide the highest enhancement due to d<inf>e</inf> compared to other diatomic molecules. We identify the ground state of HgOH as being in a bent geometry, and show that its intrinsic EDM sensitivity is comparable to the corresponding value for YbOH. Along with the theoretical results, we discuss plausible experimental schemes for an EDM measurement in HgOH. Furthermore, we provide pilot calculations of the EDM sensitivity for d<inf>e</inf> for HgCH<inf>3</inf> and HgCF<inf>3</inf>, that are natural extensions of HgOH.