English

Hadronic electroweak current and $\pi - a_1$ mixing

High Energy Physics - Phenomenology 2018-12-26 v3

Abstract

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)×U(2)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.

Keywords

Cite

@article{arxiv.1810.09632,
  title  = {Hadronic electroweak current and $\pi - a_1$ mixing},
  author = {A. A. Osipov and B. Hiller and P. M. Zhang},
  journal= {arXiv preprint arXiv:1810.09632},
  year   = {2018}
}

Comments

14 pages, four figures, the final version published in the Physical Review D

R2 v1 2026-06-23T04:49:15.269Z