## Abstract

An amplitude analysis of B^{0} → (π^{+}π^{−})(K^{+}π^{−}) decays is performed in the two-body invariant mass regions 300 < m(π^{+}π^{−}) < 1100 MeV/c^{2}, accounting for the ρ^{0}, ω, f_{0}(500), f_{0}(980) and f_{0}(1370) resonances, and 750 < m(K^{+}π^{−}) < 1200 MeV/c^{2}, which is dominated by the K^{∗}(892)^{0} meson. The analysis uses 3 fb^{−}^{1} of proton-proton collision data collected by the LHCb experiment at centre-of-mass energies of 7 and 8 TeV. The CP averages and asymmetries are measured for the magnitudes and phase differences of the contributing amplitudes. The CP-averaged longitudinal polarisation fractions of the vector-vector modes are found to be f_{ρK}^{0} ∗ = 0.164 ± 0.015 ± 0.022 and f_{ωK}^{0} ∗ = 0.68 ± 0.17 ± 0.16, and their CP asymmetries, A^{0}_{ρK}∗ = −0.62 ± 0.09 ± 0.09 and A^{0}_{ωK}∗ = −0.13 ± 0.27 ± 0.13, where the first uncertainty is statistical and the second systematic.

Original language | English (US) |
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Journal | Unknown Journal |

State | Published - Dec 17 2018 |

## ASJC Scopus subject areas

- General