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The effect of lepton transverse polarization in the B^0 --> D^- l^+ nu_l, B^+--> bar(D^0) l^+ nu_l decays (l= tau, mu) is analyzed within the framework ofStandard Model in the leading order of HQET. It is shown that the non-zerotransverse polarization appears due to the electromagnetic final stateinteraction. The diagrams with intermediate D, D^* - mesons contributing to thenon-vanishing P_T are considered. Regarding only the contribution of thesemesons, values of the tau-lepton transverse polarization, averaged over thephysical region, in the B^0 --> D^- tau^+ nu_l and B^+ --> bar(D^0) tau^+ nu_ldecays are equal to $2.60 cdot 10^{-3} and -1.59 cdot 10^{-3}, correspondingly.In the case of muon decay modes the values of <P_T> are equal to 2.97 cdot10^{-4} and -6.79 cdot 10^{-4}.Comment: 14 pages, 9 figur

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

Lepton transverse polarization in the<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:mi>Dl</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>decay due to the electromagnetic final state interaction

Lepton transverse polarization in theB→Dlνldecay due to the electromagnetic final state interaction