To avoid loss of sensitivity in the search for new physics in single-
and multi-photon final states with large missing energy at LEP, precis
e predictions for the Standard Model irreducible background are requir
ed. At LEP1 the theoretical situation is satisfactory. Going to LEP2,
some improvements are necessary. To this aim, the matrix elements for
the processes e(+)e(-) --> nu<(nu)over bar>n gamma, with n = 1, 2, 3,
are exactly computed in the Standard Model, including the possibility
of anomalous couplings for single-photon production. Due to the presen
ce of observed photons in the final state, particular attention is pai
d to the treatment of higher-order QED corrections. Comparisons with e
xisting calculations are shown and commented. An improved version of t
he event generator NUNUGPV is presented.