Scalar-involved three-point Green functions and their phenomenology

Ling-Yun Dai, Javier Fuentes-Martín, Jorge Portolés
2019
We analyze within the framework of resonance chiral theory the SAA and SVV three-point Green functions, where S, A and V are short for scalar, axial-vector and vector SU(3) hadronic currents. We construct the necessary Lagrangian such that the Green functions fulfill the asymptotic constraints, at large momenta, imposed by QCD at leading order. We study the implications of our results on the spectrum of scalars in the large−NC limit, and analyze their decays. We analyze within the framework of
more » ... n the framework of resonance chiral theory the hSA μ A ν i and hSV μ V ν i three-point Green functions, where S, A μ and V μ are short for scalar, axial-vector and vector SUð3Þ hadronic currents. We construct the necessary Lagrangian such that the Green functions fulfill the asymptotic constraints, at large momenta, imposed by QCD at leading order. We study the implications of our results on the spectrum of scalars in the large-N C limit, and analyze their decays.
doi:10.5167/uzh-174363 fatcat:xi5pjixtf5dmjfufcempxtk5sa