Nonfactorization and the decays $D_s^+ \to φπ^+, φρ^+$ and $φl^+ ν_l$

Details Nonfactorization and the decays $D_s^+ \to φπ^+, φρ^+$ and $φl^+ ν_l$ Nonfactorization and the decays $D_s^+ \to φπ^+, φρ^+$ and $φl^+ ν_l$

1995-01-09

arxiv.org/abs/hep-ph/9501246v1

Z.Phys. C71 (1996) 101-106

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, Latex, four figure (available on request);

Scientific paper

10.1007/s002880050152

In six chosen scenarios for the $q^2$ dependence of the form factors involved in $D_s^+ \rightarrow \phi $ transition, we have determined the allowed domain of $x = A_2(0) / A_1(0)$ and $y = V(0)/A_1(0)$ from the experimentally measured ratios $R_{sl} = \Gamma(D_s^+ \rightarrow \phi l^+ \nu_l)/\Gamma(D_s^+ \rightarrow \phi \pi^+)$ and $R_h = \Gamma(D_s^+ \rightarrow \phi \rho^+)/\Gamma(D_s^+ \rightarrow \phi \pi^+)$ in a scheme that uses the $N_c =3$ value of the phenomenological parameter $a_1$ and includes nonfactorized contribution. We find that the experimentally measured values of $x$ and $y$ from semileptonic decays of $D_s^+$ favor solutions which have significant nonfactorized contribution, and, in particular, $R_{sl}$ favors solutions in scenarios where $A_1(q^2)$ is either flat or decreasing with $q^2$.

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