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An amplitude analysis of ${B^0to (pi^+pi^-) (K^+pi^-)}$ decays is performed in the two-body invariant mass regions ${300 < m(pi^+pi^-)<1100}$ MeV/$c^2$, accounting for the $rho^0$, $omega$, $f_0(500)$, $f_0(980)$ and $f_0(1370)$ resonances, and ${750 < m(K^+pi^-)<1200}$ 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 $tilde{f}^0_{rho K^{*}} = 0.164 pm 0.015 pm 0.022$ and $tilde{f}^0_{omega K^{*}} = 0.68 pm 0.17 pm 0.16$, and their $CP$ asymmetries, $mathcal{A}^0_{rho K^{*}} = -0.62 pm 0.09 pm 0.09$ and $mathcal{A}^0_{omega K^{*}} = -0.13 pm 0.27 pm 0.13$, where the first uncertainty is statistical and the second systematic.
Proton-proton collision data recorded in 2011 and 2012 by the lhcb experiment, co-rres-pon-ding to an integrated luminosity of 3.0invfb, are a-na-lysed to search for the charmless ${B^0 to rho^0 rho^0}$ decay. More than 600 ${B^0 to (pi^+pi^-)(pi^+pi
The Dalitz plot distribution of $B^0 rightarrow bar{D}^0 K^+ pi^-$ decays is studied using a data sample corresponding to $3.0rm{fb}^{-1}$ of $pp$ collision data recorded by the LHCb experiment during 2011 and 2012. The data are described by an ampli
The time-integrated Dalitz plot of the three-body hadronic charmless decay ${{overline{B}}^0 to K_{mathrm{scriptscriptstyle S}}^0 pi^+ pi^-}$ is studied using a $pp$ collision data sample recorded with the LHCb detector, corresponding to an integrate
We report a search for the charmless baryonic decay $B^0to pbar{p}pi^0$ with a data sample corresponding to an integrated luminosity of 711~$rm fb^{-1}$ containing $(772pm 10)times 10^6$ $B^0bar{B}^0$ pairs. The data was collected by the Belle experi
Recently the branching ratios for $B^+to K^+bar K^0$ and $B^0 to K^0 bar K^0$ have been measured. Data indicate that the annihilation amplitudes in these decays are not zero. A non-zero annihilation amplitude plays an important role in CP violation f