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We calculate the $B\to\pi,\rho$ transition form factors in the framework ofperturbative QCD to leading power of $1/M_B$, $M_B$ being the $B$ meson mass.We explain the basic principle by discussing the pion electromagnetic formfactor. It is shown that the logarithmic and linear singularities occurring atsmall momentum fractions of light meson distribution amplitudes do not exist ina self-consistent perturbative analysis, which includes $k_\perp$ and thresholdresummations.Comment: 1+24 pages, 12 figures, REVTEX 3.1, epsfig.sty used; a reference  adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Leading-power contributions to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi></mml:math>transition form factors

Leading-power contributions toB→π,ρtransition form factors