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arXiv 2212.06341hep-phhep-ex
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QCD中次次领头阶顶夸克宽度的解析结果

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

AI总结:

通过计算三圈顶夸克自能图虚部,首次得出NNLO QCD修正下顶夸克衰变宽度的完整解析结果,结合电弱修正等贡献,将顶夸克宽度精确至1.331 GeV,理论不确定度小于1%。

摘要:

我们通过计算三圈顶夸克自能图的虚部,首次给出了次次领头阶(NNLO)QCD修正对顶夸克衰变宽度$Γ(t\to Wb)$的完整解析结果。所有结果均以调和多重对数表示,并在整个区域$0\le m_W^2\le m_t^2$内有效。在$m_W^2\to 0$和$m_W^2\to m_t^2$极限下的展开与以往研究一致。我们的结果也可作为半轻子$b\to u$衰变中轻子不变质量谱的精确预测。我们还首次在解析上计算了包含离壳$W$玻色子效应直至NNLO QCD的衰变宽度。将这些贡献与电弱修正和有限$b$夸克质量效应结合,我们确定在$m_t=172.69$ GeV时,最精确的顶夸克宽度为1.331 GeV。对包括重整化标度选择、顶夸克重整化方案、输入参数及缺失的高阶修正在内的总理论不确定性进行了仔细审查,发现其小于$1\\%$。

英文摘要:

We present the first full analytic results of next-to-next-to-leading order (NNLO) QCD corrections to the top-quark decay width $Γ(t\to Wb)$ 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 $0\le m_W^2\le m_t^2$. The expansions in the $m_W^2\to 0$ and $m_W^2\to m_t^2$ limits coincide with previous studies. Our results can also be taken as the exact prediction for the lepton invariant mass spectrum in semileptonic $b\to u$ 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 $1\%$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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