  We develop an analytical model to study the production spectrum of loops in
the cosmic string network. In the scaling regime, we find two different scales
corresponding to large (one order below horizon) and small (few orders below
horizon) loops. The very small (tiny) loops at the gravitational back reaction
scale are absent, and thus, our model has no ultra-violet divergences. We
calculate the spectrum of loops and derive analytical expressions for the
positions and magnitudes of the small and large scale peaks. The small loops
are produced by large bursts of similar loops moving with very high velocities
in the same direction. We describe the shape of large loops, which would
usually consist of few kinks and few cusps per oscillation cycle. We also argue
that the typical size of large loops is set by the correlation length, which
does not depend on the intercommutation probability p, while the interstring
distance scales as p^{1/3}.
