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preprints:2000:ttp00-09 [2016/03/17 11:03] (current)
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 +====== TTP00-09 Quartic mass corrections to R_had at O(\alpha_s^3) ====== 
 +      <hidden TTP00-09 ​ Quartic mass corrections to R_had at O(\alpha_s^3) > The total cross section for the production of massive quarks in electron 
 + ​positron annihilation can be predicted in perturbative QCD. After 
 + ​expansion in m^2/s the quartic terms, i.e. those proportional to 
 + ​m^4/​s^2,​ are calculated up to order \alpha_s^3 for vector and axial 
 + ​current induced rates. Predictions relevant for charm, bottom and top 
 + ​quarks production are presented. The \alpha_s^3 corrections are shown to 
 + be comparable to terms of order \alpha_s and \alpha_s^2. As a 
 + ​consequence,​ the predictions exhibit a sizeable dependence on the 
 + ​renormalization scale. The stability of the prediction is improved and, 
 + at the same time, the relative size of the large order terms decreases 
 + by replacing the running mass \bar{m}(\mu) with the scheme independent 
 + ​invariant one \hat{m}. By combining these results with the prediction 
 + for massless case and the quadratic mass terms the cross section for 
 + ​massive quark production at electron positron colliders is put under 
 + ​control in order \alpha_s^3 from the high energy region down to fairly 
 + low energies. 
 + </​hidden>​ 
 +|**K.G. Chetyrkin, R.V. Harlander, and J.H. K\"​uhn** ​ |  
 +|**  Nucl. Phys.  B 586 56-72 2000  **  | 
 +| {{preprints:​2000:​ttp00-09.pdf|PDF}} {{preprints:​2000:​ttp00-09.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0005139|arXiv]] [[http://​ttp.kit.edu/​Progdata/​ttp00/​ttp00-09|Programs and Data]] ​  | 
 +| |