The fields of experimental x-ray science and high energy physics, despite their diverging scientific goals and energy scales, rely critically on Hybrid Pixel Array Detectors (HPADs). This dissertation describes the versatility of HPADs and their applications in these two fields, starting with the characterization of a detector based on a mixed mode (analog and digital) pixel technology and Cadmium Telluride (CdTe) sensors, illuminated under hard x-ray pulses. Then, switching to high energy physics and the Compact Muon Solenoid (CMS) experiment at the Large Hadron Collider (LHC) at CERN, preparations for a measurement of the differential cross section of Higgs Bosons produced in association with a top and anti-top quark pair (ttH) are described, originating in proton-proton collision at a center of mass energy of 13 TeV. Precision measurements of ttH properties using the full Run II dataset collected by the CMS experiment are a powerful probe in the search for new particles at the TeV scale, which is a central goal of particle physics today. Special emphasis is put on the contribution of radiation tolerant HPADs to the reconstruction of particles at the CMS experiment which is necessary to identify and measure ttH production and decay.