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