Theory of the lamb shift in muonic deuterium

We present new calculation of the Lamb shift (2 P 1/2 − 2 S 1/2 ), fine splitting of the 2 P state and hyperfine splitting of the 2 S state in muonic deuterium (µ d ) using the quasipotential method in quantum electrodynamics. The vacuum polarization, nuclear structure, and recoil effects are calculated with the account of contributions of orders α 3 , α 4 , α 5 , and α 6 . The obtained numerical value of the Lamb shift 202.4139 meV can be considered as a reliable estimate for the comparison with forthcoming experimental data.