B to tensor meson form factors in the perturbative QCD approach

Details B to tensor meson form factors in the perturbative QCD approach B to tensor meson form factors in the perturbative QCD approach

2010-08-31

arxiv.org/abs/1008.5326v2

Phys.Rev.D83:014008,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 3 figures, 6 tables, published version

Scientific paper

10.1103/PhysRevD.83.014008

We calculate the $B_{u,d,s}\to T$ form factors within the framework of the perturbative QCD approach, where $T$ denotes a light tensor meson with $J^P=2^+$. Due to the similarities between the wave functions of a vector and a tensor meson, the factorization formulas of $B\to T$ form factors can be obtained from the $B\to V$ transition through a replacement rule. As a consequence, we find that these two sets of form factors have the same signs and correlated $q^2$-dependence behaviors. At $q^2=0$ point, the $B\to T$ form factors are smaller than the $B\to V$ ones, in accordance with the experimental data of radiative B decays. In addition, we use our results for the form factors to explore semilteptonic $B\to Tl\bar \nu_l$ decays and the branching fractions can reach the order $10^{-4}$.

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