Pionless Effective Field Theory Evaluation of Nuclear Polarizability in Muonic Deuterium

Understand

We calculate the longitudinal structure function of the deuteron up through next-to-next-to-leading order in the framework of pionless effective field theory.

• We use these results to compute the two-photon polarizability contribution to Lamb shift in muonic deuterium, which can be utilized to extract the nuclear charge radius of the deuteron.
• We present analytical expressions order-by-order for the relevant transition matrix elements and the longitudinal structure function, and we give numerical results for the corresponding contributions to the Lamb shift.
• We also discuss the impact of relativistic and other higher-order effects.