Electric-field-dependent g factors of a YbOH molecule

The YbOH molecule is one of the most sensitive systems for the electron electric dipole moment ($e\mathrm{EDM}$) searches. Zeeman splittings of the $e\mathrm{EDM}$ sensitive levels have significant implications to control and suppress important systematic effects due to stray magnetic fields in experiments for $e\mathrm{EDM}$ searches. The electric-field-dependent $g$ factors of the lowest rotational level of the first excited bending vibrational mode of ${}^{174}\mathrm{YbOH}$ are calculated. $l$-doublet levels with a small $g$-factor difference are found and main contributions to the difference are determined.