A Googly amplitude from the B model in twistor space

Recently it has been proposed that gluon scattering amplitudes in gauge theory can be computed from the D-instanton expansion of the topological B-model on 3|4, although only maximally helicity violating (MHV) amplitudes have so far been obtained from a direct B-model calculation. In this note we compute the simplest non-MHV gluon amplitudes (+ + - - - and + - + - -) from the B-model as an integral over the moduli space of degree 2 curves in 3|4 and find perfect agreement with Yang-Mills theory.