Abstract
A search for $CP$ violation in charmless three-body $\Xi_b^- \to p K^- K^-$ decays is performed using $pp$ collision data recorded with the LHCb detector, corresponding to integrated luminosities of $1\,\text{fb}^{-1}$ at a centre-of-mass energy $\sqrt{s} = 7\,\text{TeV}$, $2\,\text{fb}^{-1}$ at $\sqrt{s} = 8\,\text{TeV}$ and $2\,\text{fb}^{-1}$ at $\sqrt{s} = 13\,\text{TeV}$. A good description of the phase-space distribution is obtained with an amplitude model containing contributions from $\Sigma(1385)$, $\Lambda(1405)$, $\Lambda(1520)$, $\Lambda(1670)$, $\Sigma(1775)$ and $\Sigma(1915)$ resonances. The model allows for $CP$-violation effects, which are found to be consistent with zero. The branching fractions of $\Xi_b^- \to \Sigma(1385) K^-$, $\Xi_b^- \to \Lambda(1405) K^-$, $\Xi_b^- \to \Lambda(1520) K^-$, $\Xi_b^- \to \Lambda(1670) K^-$, $\Xi_b^- \to \Sigma(1775) K^-$ and $\Xi_b^- \to \Sigma(1915) K^-$ decays are also reported. In addition, an upper limit is placed on the product of ratios of $\Omega_b^-$ and $\Xi_b^-$ fragmentation fractions and the $\Omega_b^- \to p K^- K^-$ and $\Xi_b^- \to p K^- K^-$ branching fractions.
Highlights
In the Standard Model (SM), CP violation, defined as the breaking of symmetry under the combined charge conjugation and parity operations, owes its origin to a single irreducible complex phase in the Cabibbo-KobayashiMaskawa (CKM) matrix [1,2]
The analysis reported here is performed using proton-proton collision data recorded with the LHCb detector, corresponding to integpraffiffited luminosities of 1 pmaffisffis1⁄4s e8neTregVy of in
Addition of extra components to the fit model does not significantly improve the data description
Summary
In the Standard Model (SM), CP violation, defined as the breaking of symmetry under the combined charge conjugation and parity operations, owes its origin to a single irreducible complex phase in the Cabibbo-KobayashiMaskawa (CKM) matrix [1,2]. All effects of CP violation in particle decays observed so far are consistent with this paradigm. In the SM, weak phases are associated with the complex elements of the CKM matrix and strong phases are associated with hadronic final-state effects Two such amplitudes are potentially present in decays of b hadrons to final states that do not contain charm quarks, which provide fertile ground for studies of CP violation. The momentum scale for charged particles is calibrated using samples of J=ψ → μþμ−, Bþ → J=ψKþ and Λ → pπ− decays collected concurrently with the data sample used for this analysis [28,29]. The interaction of the generated particles with the detector, and its response, are implemented using the GEANT4 toolkit [34] as described in Ref. [35]
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