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
Summary
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.
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