First observations of the rare decays $B^{+}->K^{+}{\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $B^{+}->\varphi K^{+}{\mu }^{+}{\mu }^{-}$

Abstract

First observations of the rare decays $B^{+}\to K^{+}{\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $B^{+}\to \varphi K^{+}{\mu }^{+}{\mu }^{-}$ are presented using data corresponding to an integrated luminosity of $3.0{fb}^{-1}$, collected by the LHCb experiment at centre-of-mass energies of $7$ and $8\mathrm{TeV}$. The branching fractions of the decays are \begin{eqnarray*} \mathcal{B}(B^+\rightarrow K^+π^+π^-μ^+μ^-) &=& (4.36\,^{+0.29}_{-0.27}\,\mathrm{(stat)}\pm 0.21\,\mathrm{(syst)}\pm0.18\,\mathrm{(norm)})\times10^{-7},\\ \mathcal{B}(B^+\rightarrowϕK^+μ^+μ^-) &=& (0.82 \,^{+0.19}_{-0.17}\,\mathrm{(stat)}\,^{+0.10}_{-0.04}\,\mathrm{(syst)}\pm0.27\,\mathrm{(norm)}) \times10^{-7},\end{eqnarray*} where the uncertainties are statistical, systematic, and due to the uncertainty on the branching fractions of the normalisation modes. A measurement of the differential branching fraction in bins of the invariant mass squared of the dimuon system is also presented for the decay $B^{+}\to K^{+}{\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$.

20 pages with 5 figures

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• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays

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