  We study the distribution of the outliers in the spectrum of finite rank
deformations of Wigner random matrice under the assumption that the
off-diagonal matrix entries have uniformly bounded fifth moment and the
diagonal entries have uniformly bounded third moment. Using our recent results
on the fluctuation of resolvent entries [31],[28], and ideas from [9], we
extend results by M.Capitaine, C.Donati-Martin, and D.F\'eral [12], [13].
