Search

Since the discovery of neutrino oscillations, the experimental progress in the last two decades has been very fast, with the precision measurements of the neutrino squared-mass differences and of the mixing angles, including the last unknown mixing angle θ 13 . Today a very large set of oscillation results obtained with a variety of experimental configurations and techniques can be interpreted in the framework of three active massive neutrinos, whose mass and flavour eigenstates are related by a 3 × 3 unitary mixing matrix, the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) matrix, parametrized by three mixing angles θ 12 , θ 23 , θ 13 and a CP-violating phase δ CP . The additional parameters governing neutrino oscillations are the squared-mass differences Δ m j i 2 = m j 2 − m i 2 , where m i is the mass of the i th neutrino mass eigenstate. This review covers the rise of the PMNS three-neutrino mixing paradigm and the current status of the experimental determination of its parameters. The next years will continue to see a rich program of experimental endeavour coming to fruition and addressing the three missing pieces of the puzzle, namely the determination of the octant and precise value of the mixing angle θ 23 , the unveiling of the neutrino mass ordering (whether m 1 < m 2 < m 3 or m 3 < m 1 < m 2 ) and the measurement of the CP-violating phase δ CP . [ABSTRACT FROM AUTHOR]

Abstract: Using the constrained superfields formalism to describe the interactions of a light goldstino to matter fields in supersymmetric models, we identify generalized, higher-order holomorphic superfield constraints that project out the superpartners and capture the non-universal couplings of the goldstino to matter fields. These arise from microscopic theories in which heavy superpartners masses are of the order of the supersymmetry breaking scale . In the decoupling limit of infinite superpartners masses, these constraints reduce to the familiar, lower-order universal constraints discussed recently, that describe the universal goldstino–matter fields couplings, suppressed by inverse powers of . We initiate the study of the couplings of the Standard Model (SM) fields to goldstino in the constrained superfields formalism. [Copyright &y& Elsevier]