Papers › Analytic result for the top-quark width at next-to-next-to-leading order in QCD
Analytic result for the top-quark width at next-to-next-to-leading order in QCD
Long-Bin Chen, Hai Tao Li, Jian Wang, Yefan Wang
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We present the first full analytic results of next-to-next-to-leading order (NNLO) QCD corrections to the top-quark decay width Γ(t→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 0≤m_W²≤mₜ². The expansions in the m_W²→0 and m_W²→mₜ² limits coincide with previous studies. Our results can also be taken as the exact prediction for the lepton invariant mass spectrum in semileptonic b→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 mₜ=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%.
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