Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: Theory and application to H-2(+)

We consider higher-order corrections to hyperfine coefficients related to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The m alpha 7ln(alpha)-order radiative correction is derived in the NRQED framework. We present complete numerical calculations, including as well the m alpha 6-order relativistic correction, for the case of H-2(+) . The theoretical uncertainty is reduced by more than one order of magnitude with respect to the Breit-Pauli level, down to a few ppm. We also compare our results with available rf spectroscopy data.