What if BR(h-->\mu\mu)/BR(h-->\tau\tau) does not equal m_\mu^2/m_\tau^2?

Measurements of the Yukawa couplings of the recently discovered boson h to fermion pairs will provide a new arena for studying flavor physics. We analyze the lessons that can be learned by measuring the h decay rates into the charged lepton pairs, \tau\tau, \mu\mu, and \tau\mu. We demonstrate how this set of measurements can distinguish in principle between various classes of flavor models such as natural flavor conservation, minimal flavor violation, and Froggatt-Nielsen symmetry.