Open AccessTheBKkaon parameter in the chiral limit
Author(s) -
Johan Bijnens,
Elvira Gámiz,
Joaquím Prades
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/03/048
Subject(s) - resummation , physics , limit (mathematics) , quantum chromodynamics , particle physics , hadron , mathematical physics , mathematics , mathematical analysis
We introduce four-point functions in the hadronic ladder resummation approachto large $N_c$ QCD Green functions. We determine the relevant one to calculatethe $B_K$ kaon parameter in the chiral limit. This four-point function containsboth 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 ChPTresult at NLO for the relevant four-point function to calculate $B_K$ outsidethe chiral limit, while the leading QCD OPE is the same as the chiral limitone.Comment: 17 page
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