First observations of the rare decays B + → K + π + π − μ + μ − and B + → ϕK + μ + μ −

First observations of the rare decays B + → K + π + π − μ + μ − and B + → ϕK + μ + μ − 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 TeV. The branching fractions of the decays are