2020 Impact factor 4.590
Particles and Fields
Eur. Phys. J. C 6, 663-670
DOI 10.1007/s100529800950

Perturbative QCD analysis of B to $\pi$ and B to $\rho$ transitions

Dae Sung Hwang1 - Bum-Hoon Lee2

1 Department of Physics, Sejong University, Seoul 143-747, Korea (e-mail: dshwang@kunja.sejong.ac.kr)
2 Department of Physics, Sogang University, Seoul 121-742, Korea (e-mail: bhl@ccs.sogang.ac.kr)

Received: 20 April 1998 / Published online: 5 October 1998

We calculate the form factors F0 and F1 of $B\rightarrow\pi$ and V, A0, A1 and A2 of $B\rightarrow\rho$ transition matrix elements by using the factorization formalism of perturbative QCD in the region $0\le q^2 \le M_B^2/2$. In the limit of $m_\pi /M_B=0$, $m_\rho /M_B=0$, Mb/MB=1 and $(1-x)\ll 1$, the results show that F0 and A1 are of monopole type, V, A0 and A2 of dipole type, and F1 of a combination of monopole and dipole types with dipole type dominating.

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