K. Maltman, PROBLEMS WITH EXTRACTING M(S) FROM FLAVOR BREAKING IN HADRONIC TAU-DECAYS - ART. NO. 093015, Physical review. D. Particles and fields, 5809(9), 1998, pp. 3015
A numerical error is pointed out in the existing expression for the O(
alpha(s)(2)) longitudinal component of the squared-mass (D=2) contribu
tion to the hadronic tau decay rate. The corrected version is found to
be such that, to O(alpha(s)(2)) each term in the resulting series is
larger than the previous one, hence ruling out the direct use of flavo
r breaking in hadronic tau decays as a means of extracting the strange
quark mass. An alternate approach, in which one uses the model spectr
al functions previously developed for the strangeness-changing scalar
channel (and employed in alternate sum rule analyses of m(s)) as input
to the tau decay analysis, is shown to provide mutual consistency che
cks for the two different methods. The results for m(s) implied by tau
decay data and the existing model spectral function are also presente
d. [S0556-2821(98)03921-6].