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A physically defined effective charge can incorporate quark massesanalytically at the flavor thresholds. Therefore, no matching conditions arerequired for the evolution of the strong coupling constant through thesethresholds. In this paper, we calculate the massive fermionic corrections tothe heavy quark potential through two loops. The calculation uses a mixedapproach of analytical, computer-algebraic and numerical tools including MonteCarlo integration of finite terms. Strong consistency checks are performed byensuring the proper cancellation of all non-local divergences by theappropriate counterterms and by comparing with the massless limit. The size ofthe effect for the (gauge invariant) fermionic part of $\alpha_V (q^2,m^2) $relative to the massless case at the charm and bottom flavor thresholds isfound to be of order 33%.Comment: 37 pages, Latex2e, uses bibtex for references and eps-figure  environment epsfi

Massive fermionic corrections to the heavy quark potential through two loops