  We perform a lattice study of double parton distributions in the pion, using
the relationship between their Mellin moments and pion matrix elements of two
local currents. A good statistical signal is obtained for almost all relevant
Wick contractions. We investigate correlations in the spatial distribution of
two partons in the pion, as well as correlations involving the parton
polarisation. The patterns we observe depend significantly on the quark mass.
We investigate the assumption that double parton distributions approximately
factorise into a convolution of single parton distributions.
