  We calculate the complete order y^2 and y^4 terms of the 59 x 59 one-loop
anomalous dimension matrix for the dimension-six operators of the Standard
Model effective field theory, where y is a generic Yukawa coupling. These
terms, together with the terms of order lambda, lambda^2 and lambda y^2
depending on the Standard Model Higgs self-coupling lambda which were
calculated in a previous work, yield the complete one-loop anomalous dimension
matrix in the limit of vanishing gauge couplings. The Yukawa contributions
result in non-trivial flavor mixing in the various operator sectors of the
Standard Model effective theory.
