The $B_K$ Kaon Parameter in the Chiral Limit

Details The $B_K$ Kaon Parameter in the Chiral Limit The $B_K$ Kaon Parameter in the Chiral Limit

2006-01-24

arxiv.org/abs/hep-ph/0601197v1

JHEP 0603 (2006) 048

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages

Scientific paper

10.1088/1126-6708/2006/03/048

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.

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