### 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 con- tributing 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, AρK*0 = −0.62 ± 0.09 ± 0.09 and AωK*0 = −0.13 ± 0.27 ± 0.13, where the first uncertainty is statistical and the second systematic.[Figure not available: see fulltext.].

Original language | English |
---|---|

Article number | 26 |

Journal | Journal of High Energy Physics |

Volume | 2019 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 May 2019 |

### Keywords

- B physics
- CP violation
- Hadron-Hadron scattering (experiments)
- Polarization

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Study of the B <sup>0</sup> → ρ(770)°K <sup>*</sup> (892) <sup>0</sup> decay with an amplitude analysis of B <sup>0</sup> → (π <sup>+</sup> π <sup>−</sup> )(K <sup>+</sup> π <sup>−</sup> ) decays'. Together they form a unique fingerprint.

## Cite this

^{0}→ ρ(770)°K

^{*}(892)

^{0}decay with an amplitude analysis of B

^{0}→ (π

^{+}π

^{−})(K

^{+}π

^{−}) decays.

*Journal of High Energy Physics*,

*2019*(5), [26]. https://doi.org/10.1007/JHEP05(2019)026