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    Positivity Bounds on Effective Field Theories: Galileon Theories as a Case Study

    , M.Sc. Thesis Sharif University of Technology Jalali, Mohammad Hossein (Author) ; Torabian, Mahdi (Supervisor)
    Abstract
    Effective field theory is a practical method for model building and explaining experimental/observational data. These theories are constructed based on knowing low energy degrees of freedom and symmetries (accidental or fundamental). By construction, these theories are applicable up to a cut-off scale and their predictions beyond that are not reliable. For applications to higher energies a UV completion is needed through which modifications are applied or new heavy degrees of freedom are introduced. In order to complete a theory in a Wilsonian approach, scattering amplitudes must satisfy some constraints. These constraints are derived from basic assumptions like Lorentz invariance,...