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Linear Sigma Models In Qcd And S3 Symmetry For Neutrinos, Muhammad Naeem Shahid

Physics - Dissertations

This thesis has two parts with different topics in particle physics. In part I, we consider various linear sigma models and their applications to scalar mesons. It is shown that the tree amplitude for ππ scattering in the minimal linear sigma model has an exact expression which induces an infinite geometric series in which the pattern for both the I = 0 and I = 2 s-wave scattering lengths to orders $p^2$, $p^4$ and $p^6$ seems to agree with chiral perturbation theory predictions. The model is then gauged to study the mass differences between the vector meson and the axial …