LHCb Detector Momentum Calibration with the First Year Data and a Performance Study of CP Violation Measurement with the B°s -> J/[Psi][Phi] Decays

A new area in particle physics has begun with the start of the Large Hadron Collider (LHC) at CERN at the end of 2009, which collides protons at energies never reached before. To detect the products of the collisions, four main experiments are located around the LHC, among which the LHCb experiment. LHCb has been designed as a single-arm forward spectrometer and is dedicated to measurements of CP violation and rare decays of B hadrons. These searches could also potentially lead to the discovery of phenomena that cannot be described by the model used to date, called the Standard Model. The physics beyond the Standard Model is referred to as New Physics. A measurement of the phase of the Bs0–Bs0 oscillation amplitude with respect to that of the b → c+W- tree decay amplitude, called , is one of the key goals of the LHCb experiment with first data. In the Standard Model, this phase equals –2βs, with βs the smallest angle of the unitary triangle of the CKM matrix relevant to Bs0. The phase is hence predicted to be small, rad. However, possible contributions of New Physics to the Bs0–Bs0 box diagram, such as new particles entering into it, could modify the value from its Standard Model expectation. Due to its very small theoretical uncertainty in the Standard Model, is therefore a very sensitive probe to detect the presence of New Physics. The phase will be measured from a time-dependent angular analysis to Bs0 → J/ψφ events with tagging the initial flavor of the Bs0 mesons. Due to the pseudo-scalar to vector-vector particle nature of the decay, an angular analysis is required to disentangle statistically the CP-even and CP-odd components present in the final state. Already with 2 fb-1 of data taken at the nominal luminosity ℒ = 2·1032 cm2s-1, corresponding to ∼ 117,000 Bs0 → J/ψφ signal events, the LHCb experiment is expected to achieve a statistical uncertainty σ() ≃ 0.03 rad, similar to the value predicted by the Standard Model. On the way to this measurement, we present prospects for the time-dependent angular analysis to Bs0 → J/ψφ events without tagging the initial flavor of the Bs0 mesons. This analysis is less sensitive to , but it has the advantages of being independent of the tagging calibration and less stringent about the proper time resolution, as it does not have to resolve the fast Bs0–Bs0 oscillations. Consequently, it can be applied on first data. Sensitivity results for , but also for the other parameters entering in the analysis are given. In particular, the amplitudes of the CP-even and CP-odd components and the Bs0 meson lifetime can already be measured with a better precision than the latest CDF results (June 2010) with only 0.2 fb-1 of data at nominal luminosity with the untagged analysis. To perform this analysis, the trajectories through the spectrometer of the particles coming from the Bs0 → J/ψ(µ+µ-)φ(Κ +Κ-) decay, the muons and kaons, need to be reconstructed very precisely. Indeed, from the curvature of their tr