Spin-1 resonance contributions to the weak Chiral Lagrangian: the vector field formulation

Abstract

We use the Vector formulation to evaluate vector and axial-vector exchange contributions to the O(p^4) weak Chiral Lagrangian. We recover in this framework the bulk of the contributions found previously by Ecker et al. in the antisymmetric formulation of vectors and axial-vectors, but new interesting features arise: i) most of our results are independent of Factorization and ii) novel contributions to non-leptonic kaon decays, proper of this formulation and phenomenologically interesting, are found. The phenomenological implications for K -> pi pi (pi) and radiative (anomalous and non-anomalous) non-leptonic kaon decays are thus investigated and found particularly relevant.

34 pages, plain LaTeX file, uses rotating.sty also included

References in corpus (4)

• Observation of the Decay K^+ --> pi^+ gamma gamma
• Observation of the Decay K+ --> pi+ mu+ mu-
• Analysis of K_L -> pi^+ pi^- gamma in Chiral Perturbation Theory
• CP Violation in the K-System

Cited by in corpus (21)

• Kaon Decays in the Standard Model
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• Mesonic low-energy constants
• Search for the decay K+ to pi+ gamma gamma in the pi+ momentum region P>213 MeV/c
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• K^+ -> pi^+pi^0e^+e^-: a novel short-distance probe
• On the amplitudes for the CP-conserving $K^{\pm }(K_S)\to {\pi }^{\pm }({\pi }^0){\ell }^{+}{\ell }^{-}$ rare decay modes
• The 27-plet contributions to the CP-conserving $K\to \pi l^{+}{l}^{-}$ decays
• Long-distance contribution to the forward-backward asymmetry in decays K+ --> pi+ l+ l-
• Closing in on the radiative weak chiral couplings
• Quantum Corrections in the Resonance Chiral Theory
• $K\to \pi {\ell }^{+}{\ell }^{-}$ form factor in the Large-N${}_c$ and cut-off regularization method
• Form factor in K+ --> pi+ pi0 gamma: interference versus direct emission
• Analysis of K_L -> pi^+ pi^- gamma in Chiral Perturbation Theory
• Recent developments in rare kaon decays
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Charge asymmetry in K+- --> π+-γγinduced by the electromagnetic penguin operators
• A holographic approach to low-energy weak interactions of hadrons
• Long-distance contribution to the muon-polarization asymmetry in K^+\to π^+ μμ
• Vector meson decays from the Extended Chiral Quark Model
• Nonleptonic kaon decays: theory vs. experiment