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 — preprints:2004:ttp04-28 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP04-28 Strange Quark Mass from Tau Lepton Decays with O(\alpha_s^3) Accuracy ====== + + + <​hidden 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]] ​  | + | |