Abstract:
This thesis presents a relativistic description of the neutral current (NC) neutrino-induced
associated production of strange particles, in the framework of the Glashow-Salam Weinberg (GSW) model. In the Laboratory (Lab) frame, where the target nucleon is at
rest, the kinematics and dynamics of the process were derived separately. The differential
cross-section (DCS) was expressed in terms of the norm squared of the invariant matrix
element (IME), which was manipulated into the contraction between leptonic and
hadronic tensors. In turn, these tensors were evaluated by employing the Casimir’s trick
and Feynman trace techniques. In addressing the complexity at hadronic vertex, first it
was parameterized by eighteen unknown form factors, which were then extracted from the
Born term model by employing the SU(3) symmetry and Cabibbo V-A theory. MATLAB
R2016a software was implemented to perform numerical analysis of the production
process. The numerical results have led to the identification of the dominant reaction
channels in the neutrino-induced associated production of
off free proton. The
analysis reveals that the -channel is the dominant contributor to the total DCS, followed
by the -channel, while the t-channel contribution remains negligible. The total DCS
exhibits suppression in the forward scattering region due to destructive interference
between these channels. Moreover, increasing the incident neutrino energy leads to an
overall increase in the total DCS. Future studies should focus on refining the hadronic
vertex parameterization and exploring other NC neutrino-induced strangeness production
processes to further advance research in this field.
