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Measurement of the ratios of branching fractions $\mathcal{R}(D^{*})$ and $\mathcal{R}(D^{0})$

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Abstract

The ratios of branching fractions $\mathcal{R}(D^{*})\equiv\mathcal{B}(\bar{B}\to D^{*}\tau^{-}\bar{\nu}_{\tau})/\mathcal{B}(\bar{B}\to D^{*}\mu^{-}\bar{\nu}_{\mu})$ and $\mathcal{R}(D^{0})\equiv\mathcal{B}(B^{-}\to D^{0}\tau^{-}\bar{\nu}_{\tau})/\mathcal{B}(B^{-}\to D^{0}\mu^{-}\bar{\nu}_{\mu})$ are measured, assuming isospin symmetry, using a sample of proton-proton collision data corresponding to 3.0 fb${ }^{-1}$ of integrated luminosity recorded by the LHCb experiment during 2011 and 2012. The tau lepton is identified in the decay mode $\tau^{-}\to\mu^{-}\nu_{\tau}\bar{\nu}_{\mu}$. The measured values are $\mathcal{R}(D^{*})=0.281\pm0.018\pm0.024$ and $\mathcal{R}(D^{0})=0.441\pm0.060\pm0.066$, where the first uncertainty is statistical and the second is systematic. The correlation between these measurements is $\rho=-0.43$. Results are consistent with the current average of these quantities and are at a combined 1.9 standard deviations from the predictions based on lepton flavor universality in the Standard Model.

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Distributions of (left) $m^2_{\rm miss}$ and (right) $ E^{*}_{\mu}$ in the highest $ q^{2}$ bin (above 9.35 $\text{ Ge V} ^2 /c^4$ ) of the (top) $ D ^0$ $\mu ^-$ and (bottom) $ D ^{*+}$ $\mu ^-$ signal data, overlaid with projections of the fit model.

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Distributions of (left) $m^2_{\rm miss}$ and (right) $ E^{*}_{\mu}$ in each $ q^{2}$ bin of the $ D ^{*+}$ $\mu ^-$ signal data, overlaid with projections of the fit model. Below each panel differences between the data and fit are shown, normalized by the summed statistical uncertainty of the data and simulation samples.

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Distributions of (left) $m^2_{\rm miss}$ and (right) $ E^{*}_{\mu}$ in each $ q^{2}$ bin of the $ D ^0$ $\mu ^-$ signal data, overlaid with projections of the fit model. Below each panel differences between the data and fit are shown, normalized by the summed statistical uncertainty of the data and simulation samples.

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Projections of the fit in (left) missing mass squared, (center) lepton energy, and (right) $ q^{2}$ in the (top) $ D ^* \mu ^- $ and (bottom) $ D ^0 \mu ^- $ region with exactly one extra pion consistent with the $ B $ vertex.

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Projections of the fit in (left) missing mass squared, (center) lepton energy, and (right) $ q^{2}$ in the (top) $ D ^* \mu ^- $ and (bottom) $ D ^0 \mu ^- $ region with exactly two extra opposite-sign pions consistent with the $ B $ vertex.

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Projections of the fit in (left) missing mass squared, (center) lepton energy, and (right) $ q^{2}$ in the (top) $ D ^* \mu ^- $ and (bottom) $ D ^0 \mu ^- $ region with at least one kaon of either sign and no restrictions on the number of additional tracks consistent with the $ B $ vertex.

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Tables and captions

Summary of calculations of $\mathcal{R}(D)$ and $\mathcal{R}( D ^* )$ as compiled by the HFLAV collaboration [10]. For consistency with HFLAV this Letter uses the same average value $\mathcal{R}(D) = 0.298\pm 0.004$, $\mathcal{R}( D ^* ) =0.254\pm 0.005$ when making comparisons with the Standard Model.

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Absolute uncertainties in the extraction of $\mathcal{R}( D ^0 )$ and $\mathcal{R}( D ^* )$ . The model uncertainties are divided into those included directly in the fit likelihood and those determined via supplemental studies.

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Supplementary Material [file]

Supplementary material full pdf

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This ZIP file contains supplemetary material for the publication LHCb-PAPER-2022-039. The files are: supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.eps, *.C : The figures in variuous formats supplementary.tex : Source for supplementary.pdf

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Created on 27 April 2024.