Two-Hadron Saturation for the Pseudoscalar-Vector-Vector Correlator and Phenomenological Applications

Understand

The pseudoscalar-vector-vector correlator is constructed using two meson multiplets in the vector and two in the pseudoscalar channel.

• The parameters are constrained by the operator product expansion at leading order where two or all three momenta are considered as large.
• Demanding in addition the Brodsky-Lepage limit one obtains (in the chiral limit) a pion-vector-vector correlator with only one free parameter.
• The singly virtual pion transition form factor and the decay width of omega to pion and photon are independent of this parameter and can serve as cross-checks of the results.