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Isospin amplitudes in $\Lambda_b^0\to J/\psi \Lambda(\Sigma^0)$ and $\Xi_b^0\to J/\psi \Xi^0(\Lambda)$ decays

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Abstract

Ratios of isospin amplitudes in hadron decays are a useful probe of the interplay between weak and strong interactions, and allow searches for physics beyond the Standard Model. We present the first results on isospin amplitudes in $b$-baryon decays, using data corresponding to an integrated luminosity of 8.5 fb$^{-1}$, collected with the LHCb detector in $pp$ collisions at center of mass energies of 7, 8 and 13 TeV. The isospin amplitude ratio $|A_1(\Lambda_b^0\to J/\psi \Sigma^0)/A_0(\Lambda_b^0\to J/\psi\Lambda)|$, where the subscript on $A$ indicates the final-state isospin, is measured to be less than 1/21.8 at 95% confidence level. The Cabibbo suppressed $\Xi_b^0\to J/\psi\Lambda$ decay is observed for the first time, allowing for the measurement $|A_0(\Xi_b^0\to J/\psi\Lambda)/A_{1/2}(\Xi_b^0\to J/\psi\Xi^0)| =0.37 \pm 0.06\pm 0.02$, where the uncertainties are statistical and systematic, respectively.

Figures and captions

Leading order Feynman diagrams for $\Lambda ^0_ b \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \Lambda(\Sigma^0)$ and $\Xi_b^0\rightarrow { J \mskip -3mu/\mskip -2mu\psi } \Xi^0(\Lambda)$ decays.

 feynJLam.pdf [85 KiB]
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feynJLam.pdf
feynJXi.pdf [103 KiB]
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feynJXi.pdf

Distribution of the $ { J \mskip -3mu/\mskip -2mu\psi } \Lambda$ mass for Run 2 data. Error bars without data points indicate empty bins. Also shown is the projection of the joint fit to the data. The thick (blue) solid curve shows the total fit. For illustrative purposes, the $\Lambda ^0_ b \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \Sigma^0$ signal component is artificially scaled to its measured upper limit. The shapes are identified in the legend.

 LOG_RU[..].pdf [91 KiB]
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LOG_RUN2_COLOR.pdf

Result of the hypothesis tests conducted using the CLs method by varying ${\cal{R}}$ is shown. The observed CLs distribution is shown by the round (black) points. The expected CLs distribution (based on the background only hypothesis) is shown by the dashed line (black), with 1 and 2$\sigma$ uncertainty bands depicted in dark shaded (green) and light shaded (yellow) bands. The observed and expected upper limits are obtained by seeing where the bands cross the p-value of 0.05 shown as the horizontal (red) line.

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CLs_new.pdf

Distribution of $ { J \mskip -3mu/\mskip -2mu\psi } \Lambda$ mass for Run 1 data. Error bars without data points indicate empty bins. Also shown is the projection of the joint fit to the data. The thick (blue) solid curve shows the total fit. The $\Lambda ^0_ b \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \Sigma^0$ signal component is artificially scaled to its measured upper limit. The rest of the shapes are identified in the legend.

 LOG_RU[..].pdf [96 KiB]
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LOG_RUN1_COLOR.pdf

Distributions of $ { J \mskip -3mu/\mskip -2mu\psi } \Xi^-$ mass shown as points with error bars for (left) Run 1 and (right) Run 2 data. The total fit to data is shown as a solid (blue) curve. The $\Xi_b^-\rightarrow { J \mskip -3mu/\mskip -2mu\psi } \Xi^-$ signal is fit with the sum of two Crystal Ball functions with the same mean and width, but different tail parameters, shown as the dashed (blue) curve. The combinatorial background shape is fit with an exponential function, shown as a dashed (red) curve.

 Fit_Jp[..].pdf [25 KiB]
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Fit_JpsiXi_Data_Run1.pdf
Fit_Jp[..].pdf [25 KiB]
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Fit_JpsiXi_Data_Run2.pdf

Animated gif made out of all figures.

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Tables and captions

Results from the fit to the $ { J \mskip -3mu/\mskip -2mu\psi } \Lambda$ mass distribution. The fitted yields are indicated by $N$. Note $N_{\Xi_b \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \Xi}$ indicates the sum of $\Xi_b^-$ and $\Xi_b^0$ decays.

 Table_1.pdf [80 KiB]
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Created on 27 April 2024.