Search for a Higgs boson decaying to a pair of $b$ quarks in the forward region of $pp$ collisions with the LHCb detector

LHCb is a forward spectrometer (pseudorapidity coverage 2 < $\eta$ < 5) designed for heavy flavour physics, located at the Large Hadron Collider (LHC). Thanks to its unique features LHCb is able to perform electroweak and jets measurements in a complementary phase space with respect to the General Purpose Detectors (GPD) at LHC, ATLAS and CMS. In this thesis techniques to identify and reconstruct $b \bar{b}$ resonances with the LHCb detector are developed. First the data collected by LHCb during the Run I data taking are analyzed to identify the $Z \rightarrow b \bar{b}$ decay, to measure its cross section and to determine the jet energy scale. Then the dataset is used to set experimental limit on the Standard Model (SM) $H \rightarrow b \bar{b}$ production in the forward region.