Seminarium doktoranckie

In this presentation, we will give a brief introduction to the Chern-Simons (CS) theory and in particular to some intriguing features related to the calculation of invariants of 3-manifolds.

We will concentrate on a particularly interesting point, represented by the existence of non- equivalent classical limits of a quantum theory in the context of the Rogers dilogarithm.

The violation of CP symmetry in the neutrino sector may be manifested in different oscillation probabilities for neutrinos and antineutrinos. Long-baseline neutrino experiments search for this effect by studying electron (anti)neutrino appearance in primordial muon (anti)neutrino beam. In this talk T2K and NOvA experiments will be presented and their recent results on CP violation will be shown. Future experiments - DUNE and Hyper-Kamiokande - will also be discussed.

Presently Generalized Parton Distributions allow us novel three-dimensional description of the proton structure when both transverse and longitudinal degrees of freedom are taken into account. A tool to experimentally constraint GPDs is Deeply Virtual Compton Scattering. Main steps in extracting DVCS cross-section in the framework of COMPASS experiment are discussed in detail hinting path towards the proton tomography.

The main goal of this work was to improve the LHCb Active Radiation Monitoring System (LbARMS) of the LHCb Experiment taking place at the European Organization for Nuclear Research (CERN). A new predictive algorithm was devised based on the Outlier-Robust Kalman Filter and Rauch-Tung-Striebel formula. The algorithm operates in quasi-real time in a Supervisory Control And Data Acquisition (SCADA) system. In addition, a new calibration model was suggested for RADFETs (RADiation-sensitive Field Effect Transistors) covering saturating range.