Study of the rare $B_s^0$ and $B^0$ decays into the ${\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ final state

Abstract

A search for the rare decays $B_s^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $B^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ is performed in a data set corresponding to an integrated luminosity of 3.0 fb${}^{-1}$ collected by the LHCb detector in proton-proton collisions at centre-of-mass energies of 7 and 8 TeV. Decay candidates with pion pairs that have invariant mass in the range 0.5-1.3 GeV/$c^2$ and with muon pairs that do not originate from a resonance are considered. The first observation of the decay $B_s^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and the first evidence of the decay $B^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ are obtained and the branching fractions, restricted to the dipion-mass range considered, are measured to be $\mathcal{B}(B_s^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-})=(8.6\pm 1.5(\mathrm{stat})\pm 0.7(\mathrm{syst})\pm 0.7(\mathrm{norm}))\times 10^{-8}$ and $\mathcal{B}(B^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-})=(2.11\pm 0.51(\mathrm{stat})\pm 0.15(\mathrm{syst})\pm 0.16(\mathrm{norm}))\times 10^{-8}$, where the third uncertainty is due to the branching fraction of the decay $B^0\to J/\psi (\to {\mu }^{+}{\mu }^{-})K^{\ast }(890{)}^0(\to K^{+}{\pi }^{-})$, used as a normalisation.

21 pages, 3 figures, 2 Tables

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