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We calculate the $B\to D^{(*)}$ form factors in the heavy-quark andlarge-recoil limits in the perturbative QCD framework based on $k_T$factorization theorem, assuming the hierachy $M_B\gg M_{D^{(*)}}\gg\bar\Lambda$, with the $B$ meson mass $M_B$, the $D^{(*)}$ meson mass$M_{D^{(*)}}$, and the heavy meson and heavy quark mass difference$\bar\Lambda$. The qualitative behavior of the light-cone $D^{(*)}$ meson wavefunction and the associated Sudakov resummation are derived. The leading-powercontributions to the $B\to D^{(*)}$ form factors, characterized by the scale$\bar\Lambda\sqrt{M_B/M_{D^{(*)}}}$, respect the heavy-quark symmetry. Thenext-to-leading-power corrections in $1/M_B$ and $1/M_{D^{(*)}}$, characterizedby a scale larger than $\sqrt{\bar\Lambda M_B}$, are estimated to be less than20%. The $D^{(*)}$ meson wave function is determined from the fit to theobserved $B\to D^{(*)} l\nu$ decay spectrum, which can be employed to makepredictions for nonleptonic decays, such as $B\to D^{(*)}\pi(\rho)$.Comment: 17 pages, 9 figures, revtex and epsfig.sty, 1 figure and references  added, some comments are adde

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

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>*</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>form factors in perturbative QCD

B→D(*)form factors in perturbative QCD