The one loop corrections to the supersymmetric Ward identities (WIs) in the
discretized N = 1 SU(2) supersymmetric Yang-Mills theory can be investigat
ed by means of lattice perturbation theory. The supersymmetry (SUSY) is exp
licitly broken by the lattice discretization as well as by the introduction
of Wilson fermions. However, the renormalization of the supercurrent can b
e carried out in a scheme that restores the nominal continuum WIs. We prese
nt our work in progress which is concerned with the 1-loop renormalization
of the local supercurrent, i.e. with the perturbative computation of the co
rresponding renormalization constants and mixing coefficients.