PoS - Proceedings of Science
Volume 467 - Loops and Legs in Quantum Field Theory (LL2024) - Parallel 4
QCD corrections to Top-Quark Decay at $\alpha_s^3$
L. Chen*, X. Chen, X. Guan and Y.Q. Ma
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Published on: September 17, 2024
Abstract
We present the first complete high-precision results for the top-quark decay width $\Gamma_t$, $W$-helicity fractions and semi-inclusive distributions for the top-quark decay process to the third order in the strong coupling constant $\alpha_s$. We find, in particular, that the pure $\mathcal{O}(\alpha_s^3)$ correction decreases $\Gamma_t$ by $0.8\%$ of the previous $\mathcal{O}(\alpha_s^2)$ result, exceeding considerably the error estimated by the usual scale-variation prescription. With this critical piece of correction incorporated, our to-date most precise theoretical prediction meets the request by future colliders. This computation is achieved by a very efficient approach, applied recently also to the calculation of $\mathcal{O}(\alpha_s^3)$ QCD correction to lepton-pair invariant-mass spectrum in B-meson semi-leptonic decay.
DOI: https://doi.org/10.22323/1.467.0045
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