Abstract
The relative branching fractions of $B^+ \to h^+h^{\prime +}h^{\prime -}$ decays, where $h^{(\prime)}$ is a pion or kaon, are measured. The analysis is performed with a data sample, collected with the LHCb detector, corresponding to an integrated luminosity of $3.0 {\rm fb}^{-1}$ of $pp$ collisions. The results obtained improve significantly on previous measurements of these quantities, and are important for the interpretation of Dalitz plot analyses of three-body charmless hadronic decays of $B^+$ mesons.
Highlights
Three-body hadronic B meson decays to final states without any charm or charmonium hadrons are of great interest since they can be mediated by both tree and loop diagrams, and CP-violation effects can manifest
The analysis presented here does not include study of the suppressed three-body charmless hadronic decays Bþ → KþKþπ− and Bþ → πþπþK−, which require dedicated measurements [23–25]
particle identification (PID) requirements are imposed when one of the two-body invariant masses of oppositely charged final-state particles is in the range 1⁄21890; 2000 MeV=c2 for π → K misidentification or 1⁄21700; 1850 MeV=c2 for K → π misidentification
Summary
Three-body hadronic B meson decays to final states without any charm or charmonium hadrons are of great interest since they can be mediated by both tree and loop (so-called penguin) diagrams, and CP-violation effects can manifest. The results of Dalitz-plot analyses typically include fit fractions of contributing resonances These can be converted to quasi-two-body branching fractions, which can be predicted theoretically In the work presented here, any Bþ → hþh0þh0− decay where the three final-state particles originate from the same vertex is considered to be part of the signal This definition includes all charmonium resonances, since all have negligible lifetimes, and excludes all contributions from weakly decaying
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