Top-Quark Decay at Next-to-Next-to-Next-to-Leading Order in QCD

Fuente: arXiv
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Autores principales: Chen, Long, Chen, Xiang, Guan, Xin, Ma, Yan-Qing
Formato: Preprint
Publicado: 2023
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author Chen, Long
Chen, Xiang
Guan, Xin
Ma, Yan-Qing
author_facet Chen, Long
Chen, Xiang
Guan, Xin
Ma, Yan-Qing
contents We present the first complete high-precision QCD corrections to the inclusive decay width $\mathrmΓ_t$, the $W$-helicity fractions $f_{\mathrm{L,R,0}}$ and semi-inclusive distributions for the top-quark decay process $t \rightarrow b + W^+ + X_{\mathrm{\tiny QCD}}$ at NNNLO in the strong coupling constant $α_s$. In particular, the pure NNNLO QCD correction decreases the $\mathrmΓ_t$ by about $0.8\%$ of the previous NNLO result at the top-quark pole mass scale, exceeding the error estimated by the usual scale-variation prescription. After taking into account all sources of errors, we get $\mathrmΓ_t = 1.3148^{+0.003}_{-0.005} + 0.027\,(m_t - 172.69)\,\text{GeV} $, the error of which meets the request by future colliders. On the other hand, the NNNLO QCD effects on $f_{\mathrm{L,R,0}}$ are found to be much smaller, at the level of one per-mille for the dominating $f_{0}$, predestining them to act as precision observables for the top-quark decay process.
format Preprint
id arxiv_https___arxiv_org_abs_2309_01937
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Top-Quark Decay at Next-to-Next-to-Next-to-Leading Order in QCD
Chen, Long
Chen, Xiang
Guan, Xin
Ma, Yan-Qing
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We present the first complete high-precision QCD corrections to the inclusive decay width $\mathrmΓ_t$, the $W$-helicity fractions $f_{\mathrm{L,R,0}}$ and semi-inclusive distributions for the top-quark decay process $t \rightarrow b + W^+ + X_{\mathrm{\tiny QCD}}$ at NNNLO in the strong coupling constant $α_s$. In particular, the pure NNNLO QCD correction decreases the $\mathrmΓ_t$ by about $0.8\%$ of the previous NNLO result at the top-quark pole mass scale, exceeding the error estimated by the usual scale-variation prescription. After taking into account all sources of errors, we get $\mathrmΓ_t = 1.3148^{+0.003}_{-0.005} + 0.027\,(m_t - 172.69)\,\text{GeV} $, the error of which meets the request by future colliders. On the other hand, the NNNLO QCD effects on $f_{\mathrm{L,R,0}}$ are found to be much smaller, at the level of one per-mille for the dominating $f_{0}$, predestining them to act as precision observables for the top-quark decay process.
title Top-Quark Decay at Next-to-Next-to-Next-to-Leading Order in QCD
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2309.01937