Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-03-07
Phys.Rev.D52:3966-3977,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, Latex, Postscript figure included at the end
Scientific paper
10.1103/PhysRevD.52.3966
We study the form factors of heavy--to--heavy and heavy--to--light weak decays using the light--front relativistic quark model. For the heavy--to--heavy $B \ra D^{(\ast)}$ semileptonic decays we calculate the corresponding Isgur--Wise function for the whole kinematic region. For the heavy--to--light $B\ra P$ and $B\ra V$ semileptonic decays we calculate the form factors at $q^2 = 0$; in particular, we have derived the dependence of the form factors on the $b$--quark mass in the $m_b \ra \infty$ limit. This dependence can not be produced by extrapolating the scaling behavior of the form factors at $q^2_{max}$ using the single--pole assumption. This shows that the $q^2$ dependence of the form factors in regions far away from the zero--recoil could be much more complicated than that predicted by the single--pole assumption.
O'Donnell Patrick J.
Tung Humphrey K. K.
Xu Q. P.
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