Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-11-11
Phys.Lett. B478 (2000) 172-184
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 1 figure
Scientific paper
10.1016/S0370-2693(00)00239-2
We show how the isospin vector and axialvector current spectral functions rho_V and rho_A can be used to determine in leading chiral order the low energy constants B_7^{3/2} and B_8^{3/2}. 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 B_7^{3/2} = 0.55 +- 0.07 +- 0.10 and B_8^{3/2} = 1.11 +- 0.16 +- 0.23 for the quark mass values m_s + m = 0.1 GeV.
Donoghue John F.
Golowich Eugene
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