Çarpışma süreçlerinde polarizasyon korelasyonlarının analizi
Özet
In this thesis, departing from the importance of the spin polarization correlations in high energy physics, the effects of these quantum mechanical phenomena on several processes have been examined with various methods. In the first stage of the thesis, after examining the structural properties of the Dirac equation, which depicts the behaviors of relativistic particles, the concepts of helicity and chirality are examined. Helicity projection operators have been derived by using the properties of helicity. In the framework of quantum electrodynamics (QED) muon pair production process, spin polarizations were studied using helicity spinors and helicity projection operators. The results of the calculations show that helicity reveals the effects of spin clearly and QED preserves chirality. At the next stage, in the framework of quantum field theory (QFT), the effects of spin polarization correlations for fundamental processes such as pair annihilation, Moller scattering, Bhabha scattering and electroweak muon pair production have been investigated. Spin polarization correlations were tested with Bell's inequality and as a result of this, it is seen that each process violated the inequality. As a different process, spin polarization effects on spin-polarized electron-neutrino scattering were investigated by checking the asymmetry defined with the spin polarization angles. In the case when the left-handed chirality and negative helicity constraints of the neutrinos in Standard Model (SM) are abandoned, i.e. where the massive neutrinos might have a general spin orientation, it has been seen that the electron-electron neutrino scattering process has non zero cross section for the transverse polarizations and there could be spin asymmetries within a range of zero to one.