====== TTP04-28 Strange Quark Mass from Tau Lepton Decays with O(\alpha_s^3) Accuracy ====== The first complete calculation of the quadratic quark mass correction to the correlator of the two currents relevant for the strangeness-changing semihadronic tau-decay rate is presented including its real part at the four-loop level. This allows to perform the extraction of the strange quark mass m_s from the decay width of the tau-lepton with full O(alpha_s^3) accuracy. In agreement with previous estimates the newly computed alpha_s^3 term proves to be rather large. This justifies inclusion of the similarly estimated alpha_s^4 term in phenomenological analysis. Combined with an updated value of V_{us} and an ``'improved'' version of the renormalization group improvement of the perturbative series this leads to an increase of the central value of m_s by about 20% and a partial reduction of the theoretical uncertainty by about 50%. |**P.A. Baikov, K.G. Chetyrkin and J.H.K\"uhn** | |** Phys. Rev. Lett. 95 012003-1 2005 ** | | {{preprints:2004:ttp04-28.pdf|PDF}} {{preprints:2004:ttp04-28.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0412350|arXiv]] | | |