The $B_K$ Kaon Parameter in the Chiral Limit

Abstract

We introduce four-point functions in the hadronic ladder resummation approach to large $N_c$ QCD Green functions. We determine the relevant one to calculate the $B_K$ kaon parameter in the chiral limit. This four-point function contains both the large momenta QCD OPE and the small momenta ChPT at NLO limits, analytically. We get ${\hat{B}}_K^{\chi }=0.38\pm 0.15$. We also give the ChPT result at NLO for the relevant four-point function to calculate $B_K$ outside the chiral limit, while the leading QCD OPE is the same as the chiral limit one.

17 pages

References in corpus (1)

• The CKM Matrix and the Unitarity Triangle

Cited by in corpus (4)

• Chiral perturbation theory
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Four-point functions and kaon decays in a minimal AdS/QCD model
• Novel patterns for vector mesons from the large-Nc limit