Dispersive calculation of B73/2 and B83/2 in the chiral limit
John F. Donoghue, Eugene Golowich
Abstract
We show how the isospin vector and axialvector current spectral functions rhoV and rhoA can be used to determine in leading chiral order the low energy constants B73/2 and B83/2. 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 mu = 2 GeV the values B73/2 = 0.55 +- 0.07 +- 0.10 and B83/2 = 1.11 +- 0.16 +- 0.23 for the quark mass values ms + m = 0.1 GeV.
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