Renormalizing the heavy quark effective field theory Lagrangian to order 1/m²

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The heavy quark effective field theory Lagrangian is renormalized to order 1/m². Our technique eliminates operators that vanish by the equation of motion by continuously redefining the heavy quark fields during renormalization. It is consequently only necessary to calculate the running of the operators that do not vanish by the equation of motion. Our results are found to be consistent with reparameterization invariance.