  We calculate the toroidal quadrupole moment and form factor of the deuteron,
which violate time-reversal symmetry but conserve parity, at leading order in
two-flavor chiral effective field theory with perturbative pion exchange. We
take into account time-reversal and parity violation due to the QCD vacuum
angle combined with parity violation resulting from the weak interaction in the
Standard Model. We also consider time-reversal and parity violation that at the
quark-gluon level results from effective dimension-six operators originating
from physics beyond the Standard Model.
