  In this work we study the renormalization of the SUSY Noether current in
Supersymmetric $\mathcal{N}$ = 1 Yang-Mills (SYM) theory on the lattice. In
particular, we study the mixing of the current with all other compatible
operators of dimension 7/2 and 5/2, leading from the lattice-regularized to the
$\overline{\rm MS}$-renormalized operator basis. We perform our task in two
ways:
  (a) We compute, in dimensional regularization, the conversion factors
relating the $\overline{\rm MS}$ scheme to an intermediate gauge-invariant
coordinate-space scheme. In this second scheme, renormalization can be
performed via lattice simulations. This could help to investigate the breaking
of SUSY on the lattice and strategies towards simulations of supersymmetric
QCD. Here we present some preliminary numerical results.
  (b) We use lattice perturbation theory and compute, to one loop, various two-
and three-point functions. We consider mixing with all relevant
gauge-noninvariant operators, which contain also ghost fields.
