In the recent work by Yamaguchi et al. [Phys. Rev. Lett. 123, 113201 (2019)] Cd was identified as an excellent candidate for a lattice clock. Here, we carried out computations needed for further clock development and made an assessment of the higher-order corrections to the light shift of the $5s^2$ ${}^1{S}_0-5s5p$ ${}^3{P}_0^o$ clock transition. We carried out calculations of the magnetic dipole and electric quadrupole polarizabilities and linear and circular hyperpolarizabilities of the $5s^2$ ${}^1{S}_0$ and $5s5p$ ${}^3{P}_0^o$ clock states at the magic wavelength and estimated uncertainties of these quantities. We also evaluated the second-order Zeeman clock transition frequency shift.

• Received 30 March 2020
• Revised 19 May 2020
• Accepted 1 July 2020

DOI:https://doi.org/10.1103/PhysRevA.102.012811