Dispersive calculation of B-7((3/2)) and B-8((3/2)) in the chiral limit
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This is a pre-published version which is collected from arXiv. The published version is at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVN-4007MVV-P&_user=1516330&_coverDate=04%2F06%2F2000&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1518223502&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=098ffcbc4492107a1daee97794910d90&searchtype=a
Abstract
We show how the isospin vector and axialvector current spectral functions V,3 and A,3 can be used to determine in leading chiral order the low energy constants B(3/2) 7 and B(3/2) 8 . This is accomplished by matching the Operator Product Expansion to the dispersive analysis of vacuum polarization functions. The data for the evaluation of these dispersive integrals has been recently enhanced by the ALEPH measurement of spectral functions in tau decay, and we update our previous phenomenological determination. Our calculation yields in the NDR renormalization scheme and at renormalization scale μ = 2 GeV the values B(3/2) 7 = 0.55±0.07±0.10 and B(3/2) 8 = 1.11±0.16±0.23 for the quark mass values ms + ˆm = 0.1 GeV.
Suggested Citation
JF Donoghue and Eugene Golowich. "Dispersive calculation of B-7((3/2)) and B-8((3/2)) in the chiral limit" Physics Letters B 478.1-3 (2000): 172-184.
Available at: http://works.bepress.com/eugene_golowich/66