On the ππ contribution to the QCD sum rules for the light tetraquark

We perform a QCD sum rule analysis for the light tetraquark taken into account the contribution arising from the two pion intermediate state. With the interpolating currents of the different chiral combinations of scalar and pseudoscalar diquarks and without including the form factor in the tetraquark–two pion vertex, it is shown that interpolating current with maximum chirality has a large coupling to the two pion state, but the current with zero chirality interacts only weekly with this state. After including the form factor into consideration, the net contribution of the intermediate two pion state to the QCD sum rules for both types of currents turns out to be rather small. Pacs: 11.55.Hx, 12.38.Aw, 12.38.Lg, 14.40-n