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Article overview
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Analytic three-loop QCD corrections to top-quark and semileptonic $b o u$ decays | | Long-Bin Chen
; Hai Tao Li
; Zhao Li
; Jian Wang
; Yefan Wang
; Quan-feng Wu
; | | Date: |
2 Sep 2023 | | Abstract: | We present the first analytic results of N$^3$LO 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 N$^3$LO
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 $m_t=172.69$ GeV. Additionally, we obtain the third-order QCD corrections
to the dilepton invariant mass spectrum and decay width in the semileptonic
$b o u$ transition. | | Source: | arXiv, 2309.00762 | | Services: | Forum | Review | PDF | Favorites | |
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