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- W4311554144 abstract "We present the first full analytic results of next-to-next-to-leading order (NNLO) QCD corrections to the top-quark decay width $Gamma(tto Wb)$ 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 $0le m_W^2le m_t^2$. The expansions in the $m_W^2to 0$ and $m_W^2to m_t^2$ limits coincide with previous studies. Our results can also be taken as the exact prediction for the lepton invariant mass spectrum in semileptonic $bto u$ 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 $m_t=172.69$ GeV. The total theoretical uncertainties including those from renormalization scale choice, top-quark renormalization scheme, input parameters, and missing higher-order corrections are scrutinized and found to be less than $1%$." @default.
- W4311554144 created "2022-12-27" @default.
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- W4311554144 date "2022-12-12" @default.
- W4311554144 modified "2023-09-27" @default.
- W4311554144 title "Analytic result for the top-quark width at next-to-next-to-leading order in QCD" @default.
- W4311554144 doi "https://doi.org/10.1103/physrevd.108.054003" @default.
- W4311554144 hasPublicationYear "2022" @default.
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