  We propose a new fast method to match factorization theorems applicable in
different kinematical regions, such as the transverse-momentum-dependent and
the collinear factorization theorems in Quantum Chromodynamics. At variance
with well-known approaches relying on their simple addition and subsequent
subtraction of double-counted contributions, ours simply builds on their
weighting using the theory uncertainties deduced from the factorization
theorems themselves. This allows us to estimate the unknown complete matched
cross section from an inverse-error-weighted average. The method is simple and
provides an evaluation of the theoretical uncertainty of the matched cross
section associated with the uncertainties from the power corrections to the
factorization theorems (additional uncertainties, such as the nonperturbative
ones, should be added for a proper comparison with experimental data). Its
usage is illustrated with several basic examples, such as $Z$ boson, $W$ boson,
$H^0$ boson and Drell-Yan lepton-pair production in hadronic collisions, and
compared to the state-of-the-art Collins-Soper-Sterman subtraction scheme. It
is also not limited to the transverse-momentum spectrum, and can
straightforwardly be extended to match any (un)polarized cross section
differential in other variables, including multi-differential measurements.
