  Leptoquarks enter in several extensions of the Standard Model as possible
solutions to a number of observed anomalies. We work within the soft-collinear
effective theory framework to present a detailed analysis of the decay rates of
the three leptoquarks that appear the most in literature, the scalars $S_1$ and
$S_3$ and the vector $U_1^{\mu}$. Using renormalization group methods we resum
the large logarithms arising from the evolution of the Wilson coefficients
between the New Physics scale and the electroweak scale. We also derive the
tree-level matching relations for the Wilson coefficients in the effective
theory for some specific leptoquark models.
