Measuring $A_\text{FB}^b$ and $R_b$ with exclusive $b$-hadron decays at the FCC-ee

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Main Authors: Röhrig, Lars, Kröninger, Kevin, Madar, Romain, Monteil, Stéphane, Palla, Fabrizio, Perez, Emmanuel
Format: Preprint
Published: 2025
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author Röhrig, Lars
Kröninger, Kevin
Madar, Romain
Monteil, Stéphane
Palla, Fabrizio
Perez, Emmanuel
author_facet Röhrig, Lars
Kröninger, Kevin
Madar, Romain
Monteil, Stéphane
Palla, Fabrizio
Perez, Emmanuel
contents This paper presents a novel tagging technique to measure the beauty-quark partial decay-width ratio $R_b$ and its forward-backward asymmetry $A_\text{FB}^b$ at the FCC-ee, using $\mathcal{O}(10^{12})$ $Z$-boson decays. The method is based on the exclusive reconstruction of a selected list of $b$-hadron decay modes in $Z\to b\bar{b}$ events at the $Z$ pole, which can provide the flavour and possibly the charge of the hemisphere. This approach effectively eliminates the contamination from light-quark physics events and reduces the leading systematic uncertainties arising from background contamination, tagging-efficiency correlations, and gluon-radiation corrections by exploiting the geometric and kinematic properties of beauty hadrons. This results in a total relative uncertainty of the order of $0.01\,\%$ for both observables. Furthermore, this precision allows to obtain a commensurate precision on the weak mixing angle $\sin^2(θ_W^\text{eff})$ compared to the muon forward-backward asymmetry on the order of $0.002\,\%$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_17281
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Measuring $A_\text{FB}^b$ and $R_b$ with exclusive $b$-hadron decays at the FCC-ee
Röhrig, Lars
Kröninger, Kevin
Madar, Romain
Monteil, Stéphane
Palla, Fabrizio
Perez, Emmanuel
High Energy Physics - Experiment
High Energy Physics - Phenomenology
This paper presents a novel tagging technique to measure the beauty-quark partial decay-width ratio $R_b$ and its forward-backward asymmetry $A_\text{FB}^b$ at the FCC-ee, using $\mathcal{O}(10^{12})$ $Z$-boson decays. The method is based on the exclusive reconstruction of a selected list of $b$-hadron decay modes in $Z\to b\bar{b}$ events at the $Z$ pole, which can provide the flavour and possibly the charge of the hemisphere. This approach effectively eliminates the contamination from light-quark physics events and reduces the leading systematic uncertainties arising from background contamination, tagging-efficiency correlations, and gluon-radiation corrections by exploiting the geometric and kinematic properties of beauty hadrons. This results in a total relative uncertainty of the order of $0.01\,\%$ for both observables. Furthermore, this precision allows to obtain a commensurate precision on the weak mixing angle $\sin^2(θ_W^\text{eff})$ compared to the muon forward-backward asymmetry on the order of $0.002\,\%$.
title Measuring $A_\text{FB}^b$ and $R_b$ with exclusive $b$-hadron decays at the FCC-ee
topic High Energy Physics - Experiment
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2502.17281