  We compute the one-loop anomalous dimensions of the low-energy effective
Lagrangian below the electroweak scale, up to terms of dimension six. The
theory has 70 dimension-five and 3631 dimension-six Hermitian operators that
preserve baryon and lepton number, as well as additional operators that violate
baryon number and lepton number. The renormalization group equations for the
quark and lepton masses and the QCD and QED gauge couplings are modified by
dimension-five and dimension-six operator contributions. We compute the
renormalization group equations from one insertion of dimension-five and
dimension-six operators, as well as two insertions of dimension-five operators,
to all terms of dimension less than or equal to six. The use of the equations
of motion to eliminate operators can be ambiguous, and we show how to resolve
this ambiguity by a careful use of field redefinitions.
