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The doublet capture rate of the negative muon capture in deuterium iscalculated employing the nuclear wave functions generated from accuratenucleon-nucleon potentials constructed at next-to-next-to-next-to-leading orderof heavy-baryon chiral perturbation theory and the weak meson exchange currentoperator derived within the same formalism. All but one of the low-energyconstants that enter the calculation were fixed from pion-nucleon andnucleon-nucleon scattering data. The low-energy constant d^R (c_D), whichcannot be determined from the purely two-nucleon data, was extracted recentlyfrom the triton beta-decay and the binding energies of the three-nucleonsystems. The calculated values of the doublet capture rates show a rather largespread for the used values of the d^R. Precise measurement of the doubletcapture rate in the future will not only help to constrain the value of d^R,but also provide a highly nontrivial test of the nuclear chiral EFT framework.Besides, the precise knowledge of the constant d^R will allow for consistentcalculations of other two-nucleon weak processes, such as proton-proton fusionand solar neutrino scattering on deuterons, which are important forastrophysics.

Calculation of Doublet Capture Rate for Muon Capture in Deuterium within Chiral Effective Field Theory