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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]] | |
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