====== TTP02-44 Five-loop vacuum polarization in pQCD: O(alpha_s^4 n_f^2) results ======
 
 
<hidden TTP02-44  Five-loop vacuum polarization in pQCD: O(alpha_s^4 n_f^2) results > We give a short presentation of the first genuine QCD five-loop
 calculations, viz. analytical contributions of order \alpha_s^4 n_f^2 and
 m_q^2 \alpha_s^4 n_f^2 to the vacuum polarization function of
 vector  currents. These corrections form an important gauge-invariant
 subset of the full  O(\alpha_s^4) correction to the total cross-section 
 of e^+ e^- annihilation  into hadrons.
 </hidden>
|**P.A. Baikov, K.G. Chetyrkin and J.H. K\"uhn**  | 
|**       Nucl.Phys.B(Proc.Suppl.)   116  (2003  Proceedings of RADCOR 2002 8-13 September 2002, Kloster Banz, Germany. ) 78-82 **  |
| {{preprints:2002:ttp02-44.pdf|PDF}} {{preprints:2002:ttp02-44.ps|PostScript}}   |
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