Vacuum polarization corrections to the n=2 and n=3 levels in muonic He-4

The n = 2 and n = 3 levels for muonic helium are calculated using a potential that includes all one-loop and recoil effects. Electronic vacuum polarization corrections are calculated using an extension of the Kinoshita and Nio method. For n = 2, the results are 2p(1/2) - 2s(1/2) = 1374.24 +/- 1.4 meV and 2p(3/2) - 2s(1/2) = 1520.83 +/- 1.4 meV, essentially in agreement with the latest summary of the current calculations. The n = 3 results are summarized in tabular form and give 3p(1/2) - 3s(1/2) = 394.48 +/- 0.43 meV and 3d(3/2) - 3p(3/2) = 111.40 meV.