  We present an improved calculation of all B -> light pseudoscalar formfactors
from light-cone sum rules, including one-loop radiative corrections to twist-2
and twist-3 contributions, and leading order twist-4 corrections. The total
theoretical uncertainty of our results at zero momentum transfer is 10 to 13%.
The dependence of the formfactors on the momentum transfer q^2 is parametrized
in a simple way that is consistent with their analytical properties and is
valid for all physical q^2. The uncertainty of the extrapolation in q^2 on the
semileptonic decay rate Gamma(B -> pi e nu) is estimated to be 5%.
