Study of the B0→K*0μ+μ- decay with the LHCb experiment : angular analysis and measurement of the ratio RK

Rare beauty decays proceed mostly through the Flavor Changing Neutral Current, which is possible only at loop level in the Standard Model. These FCNC processes are subject to GIM suppression leading to a rare decay. Therefore the [Math Processing Error] processes are good tools to look for New Physics phenomenon beyond the Standard Model. New Physics particle could become detectable by causing deviation from the Standard Model predictions for observables such as angular observables, branching ratio or CP asymmetries. This thesis present the angular analysis of the [Math Processing Error] decay with the whole dataset collected by lhcb during the first run of the lhc. The full set of the angular observables has been measured through a maximum likelihood fit, thanks to an improved selection and the 3 fb[Math Processing Error] of data collected in 2011 and 2012 by lhcb. In addition, the analysis on the measurement of the ratio [Math Processing Error] has also been presented and the results are expected by the end of 2015.