| Summary: | The ratio of branching fractions and the difference in CP asymmetries of the decays B+ → J/ψπ+ and B+ → J/ψK+ are measured using a data sample of pp collisions collected by the LHCb experiment, corresponding to an integrated luminosity of 3 fb^−1 at centre-of-mass energies of 7 and 8 TeV. The results are B(B+→J/ψπ+)/B(B+→J/ψK+)=(3.83±0.03±0.03)×10^−2, ACP(B+→J/ψπ+)−ACP(B+→J/ψK+)=(1.82±0.86±0.14)×10^−2, where the first uncertainties are statistical and the second are systematic. Combining this result with a recent LHCb measurement of A^CP (B+ → J/ψK+) provides the most precise estimate to date of CP violation in the decay B+→J/ψπ+, A^CP(B+→J/ψπ+)=(1.91±0.89±0.16)×10^−2..
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