Hyperfine ground-state structure of muonic hydrogen

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Abstract
Corrections of order alpha^5, alpha^6 are calculated in the hyperfine splitting of muonic hydrogen ground state. Nuclear structure effects are taken into account in one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The modification of the hyperfine splitting part of the Breit potential due to electron vacuum polarization is considered. Total numerical value of the 1S state hyperfine splitting 182.725 meV in (mu p) can play the role of proper estimation for the corresponding experiment with the accuracy 30 ppm