Abstract
The time-integrated untagged Dalitz plot of the three-body hadronic charmless decay B[over ¯]^{0}→K_{S}^{0}π^{+}π^{-} is studied using a pp collision data sample recorded with the LHCb detector, corresponding to an integrated luminosity of 3.0 fb^{-1}. The decay amplitude is described with an isobar model. Relative contributions of the isobar amplitudes to the B[over ¯]^{0}→K_{S}^{0}π^{+}π^{-} decay branching fraction and CP asymmetries of the flavor-specific amplitudes are measured. The CP asymmetry between the conjugate B[over ¯]^{0}→K^{*}(892)^{-}π^{+} and B^{0}→K^{*}(892)^{+}π^{-} decay rates is determined to be -0.308±0.062.
Highlights
Is studied using a pp collision data sample recorded with the LHCb detector, corresponding to an integrated luminosity of 3.0 fb−1
The CP asymmetries in the decays of B 0 → K−πþ and B− → K−π0 (CP conjugation is implied in the notation of the decays unless stated otherwise) are observed to be different [4], while, in predictions based on the QCD factorization approach, the two asymmetries are expected to be similar [5]
The study of the flavor-specific, quasi-two-body amplitudes that contribute to the decay B 0 → K0Sπþπ− offers the possibility to measure CP asymmetries
Summary
The invariant-mass distribution of signal candidates from the six aforementioned subsamples is displayed, with the result of a simultaneous fit. Two dominant backgrounds contaminate the B 0 → K0Sπþπ− candidate samples: a combinatorial background and a cross-feed background from the decay B 0s → K0SKÆπ∓ The fractions of these backgrounds are measured from the invariant-mass fits performed in Ref. The combinatorial background DP model is built from the DP histogram of the B 0 → K0Sπþπ− candidates with an invariant mass in the range 1⁄25450; 5800 MeV=c2. The signal fraction depends on the reconstruction category; it is determined from the fit to the invariant-mass distribution and ranges from 85% (Downstream) to 95% (Long). The mass-dependent line shapes employed to model the resonances are indicated in the third column.
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