  In this work we propose the Z -> gamma gamma decay as a process strictly
forbidden in the standard model, suitable for the search of noncommutativity of
coordinates at very short distances. We computed the Z -> gamma gamma partial
width in the framework of the recently proposed one-loop renormalizable gauge
sector of the noncommutative standard model. New experimental possibilities at
LHC are analyzed and a firm bound to the scale of noncommutativity parameter is
set around 1 TeV.
