Executive Summary : | The fundamental building blocks of Nature are three types of elementary particles: quark, lepton, and gauge boson. The Standard Model of particle physics, which describes all phenomena involving elementary particles and their interactions, has been tested to be correct in numerous experiments spanning several decades. However, theoretical and experimental evidence show the Standard Model as an incomplete description of Nature. New Physics, or new elementary particles or fundamental interactions, is an active field of research with numerous ongoing and upcoming experiments. The proposal describes phenomenological studies in the decays of mesons and baryons, particles composed of quarks and collectively called hadrons, to test the Standard Model at high precision and search for physics beyond it. The LHCb at CERN and the Belle-II experiment at KEK are some of the experiments equipped to study hadronic decays. The first indirect evidence of New Physics is expected from the study of the phenomenology of hadrons due to their sensitivity to high energy scales. The proposal proposes two new analyses: calculating single and double lepton polarization asymmetry of Lmabda-b baryon decay to Lambda(1520) baryon and a dilepton pair, and doubly radiative decay of Lambda-b baryon. It also discusses measurement of photon polarization in radiative Lambda-b decay. The project's outcome improves our understanding of Lambda-b baryon decay in New Physics searches and demonstrates the role of hadronic decays in lepton number violation, lepton flavor violation, and baryon number violation. |