Papers › Analytic three-loop QCD corrections to top-quark and semileptonic b→u decays
Analytic three-loop QCD corrections to top-quark and semileptonic b→u decays
Long-Bin Chen, Hai Tao Li, Zhao Li, Jian Wang, Yefan Wang, Quan-feng Wu
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We present the first analytic results of N³LO QCD corrections to the top-quark decay width. We focus on the dominant leading color contribution, which includes light-quark loops. At NNLO, this dominant contribution accounts for 95% of the total correction. By utilizing the optical theorem, the N³LO corrections are related to the imaginary parts of the four-loop self-energy Feynman diagrams, which are calculated with differential equations. The results are expressed in terms of harmonic polylogarithms, enabling fast and accurate evaluation. The third-order QCD corrections decrease the LO decay width by 0.667%, and the scale uncertainty is reduced by half compared to the NNLO result. The most precise prediction for the top-quark width is now 1.321 GeV for mₜ=172.69 GeV. Additionally, we obtain the third-order QCD corrections to the dilepton invariant mass spectrum and decay width in the semileptonic b→u transition.
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