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preprints:2004:ttp04-29 [2016/03/15 20:39] (current)
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 +====== TTP04-29 Vacuum polarization in pQCD: first complete O(\alpha_s^4) result ====== 
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 +<hidden TTP04-29 ​ Vacuum polarization in pQCD: first complete O(\alpha_s^4) result > We report ​ the results of the   first complete QCD five-loop 
 + ​calculation,​ viz. analytical contribution of order m_q^2 alpha_s^4,​ 
 + to the (absorptive part of) the vacuum polarization function. The 
 + ​contribution directly leads to the knowledge of the the  
 + full O( \als^4 ​ m_q^2/ s)correction to the total cross-section 
 + of e^+ e^- annihilation into hadrons. We  compare 
 + our results with predictions following from various optimization 
 + ​schemes. 
 + </​hidden>​ 
 +|**P.A. Baikov, K.G. Chetyrkin and  J.H.K\"​uhn** ​ |  
 +|**  Nucl. Phys. Proc. Suppl. ​ 135 243-246 2004  **  | 
 +| {{preprints:​2004:​ttp04-29.pdf|PDF}} {{preprints:​2004:​ttp04-29.ps|PostScript}} ​  | 
 +| |