Fermi arcs and phase diagram of the high-T$_{c}$ cuprates: Insights from Raman and angle resolved photoemission spectroscopies.

We calculate the B$_{1g}$ and B$_{2g}$ Raman responses of Bi-2212 from an ARPES-derived energy momentum dispersion and a model for the normal-state pseudogap. In light of these calculations, the Raman data demonstrates that the Fermi arc length remains finite in the pseudogap ground state. A re-examination of recent ARPES results is found to confirm this result. In addition, the presence of a van Hove singularity in the overdoped regime, as revealed by ARPES, allows us to propose a universal pairing potential that reproduces both the doping dependence of T$_{c}$, as well as the variation in T$_{c,max}$ between different species of cuprate superconductors.