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It is found that in presence of electroweak interactions the gauge covariant diagonalization of the axial-vector -- pseudoscalar mixing in the effective meson Lagrangian leads to a deviation from the vector meson and the axial-vector meson dominance of the entire hadronic electroweak current. The essential features of such a modification of the theory are investigated in the framework of the extended Nambu-Jona-Lasinio model with explicit breaking of chiral $U(2) times U(2)$ symmetry. The Schwinger-DeWitt method is used as a major tool in our study of the real part of the relevant effective action. Some straightforward applications are considered.
We reconsider the contribution due to $pi a_1$-mixing to the anomalous $gammatopi^+pi^0pi^-$ amplitude from the standpoint of the low-energy theorem $F^{pi}=e f_pi^2 F^{3pi}$, which relates the electromagnetic form factor $F_{pi^0togammagamma}=F^pi$
Using a recently proposed gauge covariant diagonalization of $pi a_1$-mixing we show that the low energy theorem $F^{pi}=e f_pi^2 F^{3pi}$ of current algebra, relating the anomalous form factor $F_{gamma to pi^+pi^0pi^-} = F^{3pi}$ and the anomalous
We show that the a_1-rho-pi Lagrangian is a decisive element for obtaining a good phenomenological description of the three-pion decays of the tau lepton. We choose it in a two-component form with a flexible mixing parameter sin(theta). In addition t
We evaluate the $a_1(1260) to pi sigma (f_0(500))$ decay width from the perspective that the $a_1(1260)$ resonance is dynamically generated from the pseudoscalar-vector interaction and the $sigma$ arises from the pseudoscalar-pseudoscalar interaction
As present and future experiments, on both the energy and precision frontiers, look to identify new physics beyond the Standard Model, we require more precise determinations of fundamental quantities, like the QED and electroweak couplings at various