Abstract

The differential branching fraction of the rare decay $\Lambda^{0}_{b} \rightarrow \Lambda \mu^+\mu^-$ is measured as a function of $q^{2}$, the square of the dimuon invariant mass. The analysis is performed using proton-proton collision data, corresponding to an integrated luminosity of $3.0 \mbox{ fb}^{-1}$, collected by the LHCb experiment. Evidence of signal is observed in the $q^2$ region below the square of the $J/\psi$ mass. Integrating over $15 < q^{2} < 20 \mbox{ GeV}^2/c^4$ the branching fraction is measured as $d\mathcal{B}(\Lambda^{0}_{b} \rightarrow \Lambda \mu^+\mu^-)/dq^2 = (1.18 ^{+ 0.09} _{-0.08} \pm 0.03 \pm 0.27) \times 10^{-7} ( \mbox{GeV}^{2}/c^{4})^{-1}$, where the uncertainties are statistical, systematic and due to the normalisation mode, $\Lambda^{0}_{b} \rightarrow J/\psi \Lambda$, respectively. In the $q^2$ intervals where the signal is observed, angular distributions are studied and the forward-backward asymmetries in the dimuon ($A^{l}_{\rm FB}$) and hadron ($A^{h}_{\rm FB}$) systems are measured for the first time. In the range $15 < q^2 < 20 \mbox{ GeV}^2/c^4$ they are found to be $A^{l}_{\rm FB} = -0.05 \pm 0.09 \mbox{ (stat)} \pm 0.03 \mbox{ (syst)}$ and $A^{h}_{\rm FB} = -0.29 \pm 0.07 \mbox{ (stat)} \pm 0.03 \mbox{ (syst)}$.

Highlights

  • The angular distribution of the dimuon system of the decays Λ0b → Λμ+μ− and Λ0b → Λμ+μ− can be described by dΓ d cos θ

  • The forward-backward asymmetry of the lepton pair, AFB, is “odd” under CP conjugation and changes in sign between the Λ0b and Λ0b decays. To compensate for this sign, the angle θ is usually calculated from the μ− lepton rather than the μ+ lepton such that AFB can be calculated from the combined sample

  • The result quoted as AFB in this paper should be interpreted as

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Summary

Introduction

The angular distribution of the dimuon system of the decays Λ0b → Λμ+μ− and Λ0b → Λμ+μ− can be described by dΓ d cos θ. E-mail: luca.pescatore@cern.ch Erratum to: JHEP06(2015)115 ArXiv ePrint: 1503.07138 Where AFB is the forward-backward asymmetry of the dimuon system and fL is its longitudinal polarisation fraction.

Results
Conclusion

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