
\chapter*{Abstract}

    In this dissertation I present studies of flavor-changing neutral Higgs interactions in a general Two Higgs 
    Doublet Model. I focus on the analytic calculation of $\phi^0 \rightarrow t c$ and 
    $\phi^0 \rightarrow \tau \mu$ where $\phi^0 = h^0, \ H^0, \ A^0$. 
   % Heavy fermions are chosen because their 
   % couplings between the Higgs bosons are proportional to the mass of the particles they interacts with.
    In the case of the $tc$ state we look at production from heavy Higgs states, $H^0 \text{ and } A^0$, 
    associated production with a top from charmed initial states, and associated production of a Higgs with a
    charm from a $t\bar{t}$ intermediate state. In the $\tau \mu$ channel we only consider $\tau \mu$ production
    from the light, or Standard Model-like, Higgs boson, $h^0$, and the heavy Higgs states. In all cases I 
    present calculated discovery potentials for finding these rare, beyond Standard Model decays at the Large 
    Hadron Collider for the 13 TeV and 14 TeV data sets with integrated luminosities of 
    $30, \ 300, \text{ and } 3000 \text{ fb}^{-1}$.

