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SemileptonicB→πdecays from an Omnès improved nonrelativistic constituent quark model
Physical Review D
The semileptonic B→π l^+ ν_l decay is studied starting from a simple quark model which includes the influence of the B^* pole. To extend the predictions of a nonrelativistic constituent quark model from its region of applicability near q^2_ max=(m_B-m_π)^2 to all q^2 values accessible in the physical decay, we use a novel multiply-subtracted Omnès dispersion relation, which considerably diminishes the form factor dependence on the elastic π B →π B scattering amplitudes at high energies. Bydoi:10.1103/physrevd.72.033002 fatcat:i7ndlcmu6nafnami2i5qmgvbvi