Perturbative QCD Analysis of B to pi and B to rho Transitions

Details Perturbative QCD Analysis of B to pi and B to rho Transitions Perturbative QCD Analysis of B to pi and B to rho Transitions

1998-01-27

arxiv.org/abs/hep-ph/9801421v1

Eur.Phys.J.C6:663-670,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 2 figures, LaTeX

Scientific paper

10.1007/s100529800950

We calculate the form factors of $B\to\pi$ and $B\to\rho$ heavy to light transition matrix elements by using the factorization formalism of perturbative QCD. We obtain them at $q^2=0$ and show their dependences on the parameter $\epsilon$ of the B meson distribution amplitude. We also obtain the form factors as functions of $q^2$ in the region $0\le q^2 \le M_B^2/2$. The relations among the form factors are found in the limit of $m_\pi /M_B=0$, $m_\rho /M_B=0$, ${M_b/M_B}=1$ and $(1-x)<<1$.

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