Standard model in strong fields: Electroweak radiative corrections for highly charged ions

Electroweak radiative corrections to the matrix elements $〈{\mathrm{ns}}_{1/2}|H_{\mathrm{PNC}}|n^{\prime }{p}_{1/2}〉$ are calculated for highly charged hydrogenlike ions. These matrix elements constitute the basis for the description of the most parity-nonconserving processes in atomic physics. The operator $H_{\mathrm{PNC}}$ represents the parity-nonconserving relativistic effective atomic Hamiltonian at the tree level. The deviation of these calculations from the calculations valid for the momentum transfer $q^2=0\mathrm{}$ demonstrates the effect of the strong field, characterized by the momentum transfer $q^2{=m}_e^2\hspace{0.5em}{(m}_e$ is the electron mass). This allows for a test of the standard model in the presence of strong fields in experiments with highly charged ions.