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Exclusive semileptonic decays B->D_1(2420)l\bar\nu and B->D_2^*(2460)l\bar\nuare studied at the subleading order of the heavy quark expansion. Thesubleading Isgur-Wise functions resulted from the kinetic energy andchromomagnetic corrections to the HQET Lagrangian are calculated by QCD sumrules in the framework of the heavy quark effective theory. The decay rates andbranching ratios are computed with the inclusion of the order of 1/m_Qcorrections. It is found that the 1/m_Q correction to the decay rate is notlarge for B->D^*_2 but is very large for B->D_1.Comment: RevTeX, 18 pages including 3 PS figures. Errors are estimated, some  misprints are corrected and minor wording modification in revisio

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

Subleading Isgur-Wise form factors and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>Q</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:math>corrections to the semileptonic decays<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>B</…

Subleading Isgur-Wise form factors andO(1/mQ)corrections to the semileptonic decaysB