Institute for Theoretical Particle Physics (TTP)
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preprints:2000:ttp00-09 [2016/03/17 11:03] (current) – created - external edit 127.0.0.1
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 +====== TTP00-09 Quartic mass corrections to R_had at O(\alpha_s^3) ====== 
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 +      <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]]   | 
 +| |