Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-01-16
Phys. Lett. B696:518-522, 2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 2 figures, to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2011.01.021
We study the light-front zero-mode contribution to the tensor form factors $T_i(i=1,2,3)$ for the exclusive rare $P\to V\ell^+\ell^-$ decays using a covariant fermion field theory model in $(3+1)$ dimensions. While the zero-mode contribution in principle depends on the form of the vector meson vertex $\Gamma^\mu=\gamma^\mu - (2k-P_V)^\mu/D$, the three tensor form factors $T_i(i=1,2,3)$ are found to be free from the zero mode if the denominator $D$ contains the term proportional to the light-front energy or the longitudinal momentum fraction factor $(1/x)^n$ of the struck quark with the power $n>0$. Since the denominator $D$ used in the light-front quark model (LFQM) has the power $n=1/2$, the three tensor form factors $T_i(i=1,2,3)$ can be computed in LFQM safely without involving any complicate zero-mode contribution. The lack of zero-mode contribution benefits the phenomenology with LFQM.
Choi Ho-Meoyng
Ji Chueng-Ryong
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