  Neutrino emission in processes of breaking and formation of neutron and
proton Cooper pairs is calculated within the Larkin-Migdal-Leggett approach for
a superfluid Fermi liquid. We demonstrate explicitly that the Fermi-liquid
renormalization respects the Ward identity and assures the weak vector current
conservation. The systematic expansion of the emissivities for small
temperatures and nucleon Fermi velocity, v_{F,i}, i=n,p, is performed. Both
neutron and proton processes are mainly controlled by the axial-vector current
contributions, which are not strongly changed in the superfluid matter. Thus,
compared to earlier calculations the total emissivity of processes on neutrons
paired in the 1S_0 state is suppressed by a factor ~(0.9-1.2) v_{F,n}^2. A
similar suppression factor (~v_{F,p}^2) arises for processes on protons.
