Proton structure corrections to hyperfine splitting in muonic hydrogen

Understand

We present the derivation of the formulas for the proton structure-dependent terms in the hyperfine splitting of muonic hydrogen.

• We use compatible conventions throughout the calculations to derive a consistent set of formulas that reconcile differences between our results and some specific terms in earlier work.
• Convention conversion corrections are explicitly presented, which reduce the calculated hyperfine splitting by about 46 ppm.
• We also note that using only modern fits to the proton elastic form factors gives a smaller than historical spread of Zemach radii and leads to a reduced uncertainty in the hyperfine splitting.