Calculation of higher-order corrections to the light shift of the 5s(2) S-1(0)-5s5p P-3(0)o clock transition in Cd

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) S-1(0) -5s5p P-3(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) S-1(0) and 5s5p P-3(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.