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- W4386476587 abstract "We present the first full analytic results of next-to-next-to-leading order (NNLO) QCD corrections to the top-quark decay width $mathrm{ensuremath{Gamma}}(tensuremath{rightarrow}Wb)$ by calculating the imaginary part of three-loop top-quark self-energy diagrams. The results are all expressed in terms of harmonic polylogarithms and valid in the whole region $0ensuremath{le}{m}_{W}^{2}ensuremath{le}{m}_{t}^{2}$. The expansions in the ${m}_{W}^{2}ensuremath{rightarrow}0$ and ${m}_{W}^{2}ensuremath{rightarrow}{m}_{t}^{2}$ limits coincide with previous studies. Our results can also be taken as the exact prediction for the lepton invariant mass spectrum in semileptonic $bensuremath{rightarrow}u$ decays. We also analytically compute the decay width including the off shell $W$ boson effect up to NNLO in QCD for the first time. Combining these contributions with electroweak corrections and the finite $b$-quark mass effect, we determine the most precise top-quark width to be 1.331 GeV for ${m}_{t}=172.69text{ }text{ }mathrm{GeV}$. The total theoretical uncertainties including those from renormalization scale choice, top-quark mass renormalization scheme, input parameters, and missing higher-order corrections are scrutinized and found to be less than 1%." @default.
- W4386476587 created "2023-09-07" @default.
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- W4386476587 date "2023-09-06" @default.
- W4386476587 modified "2023-10-15" @default.
- W4386476587 title "Analytic result for the top-quark width at next-to-next-to-leading order in QCD" @default.
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- W4386476587 doi "https://doi.org/10.1103/physrevd.108.054003" @default.
- W4386476587 hasPublicationYear "2023" @default.
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