Symmetric top molecule YbOCH$_3$ in the fundamental $\mathcal{P}$, $\mathcal{T}$-violation searches

The symmetric top molecule YbOCH$_3$ is studied for its potential to $\mathcal{P}$, $\mathcal{T}$-violation searches. The influence of the rotations and vibrations of the YbOCH$_3$ on such violating effects as the electron electric dipole moment (eEDM) and the scalar-pseudoscalar electron-nucleon interaction (Ne-SPS) is studied using the coupled channels method. The corresponding sensitivity parameters $E_{\rm eff}$ and $E_{\rm s}$ are computed.