https://doi.org/10.1140/epja/i2006-10247-9
QNP 2006
Study of the semileptonic decays B→π, D→π and D→K
1
School of Physics and Astronomy, University of Southampton, SO17 1BJ, Southampton, UK
2
Grupo de Fısica Nuclear, Departamento de Fısica Fundamental e IUFFyM, Facultad de Ciencias, E-37008, Salamanca, Spain
3
Departamento de Fısica Atómica, Molecular y Nuclear, Universidad de Granada, E-18071, Granada, Spain
Received:
23
November
2006
Accepted:
30
November
2006
Published online:
12
March
2007
The semileptonic decay B→π is studied starting from a simple quark model that takes into into account the effect of the B*-resonance. A novel, multiply subtracted, Omnès dispersion relation has been implemented to extend the predictions of the quark model to all q2 values accessible in the physical decay. By comparison to the experimental data, we extract | V ub| = (3.4±0.2(exp.)±0.7(theory))0-3. As a further test of the model, we have also studied D→π and D→K decays for which we get good agreement with experiment.
PACS: 12.15.Hh Determination of Kobayashi-Maskawa matrix elements – / 11.55.Fv Dispersion relations – / 12.39.Jh Nonrelativistic quark model – / 13.20.He Decays of bottom mesons –
© Società Italiana di Fisica and Springer-Verlag, 2007