Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonfactorization and the decays $D_s^+ \to \phi \pi^+, \phi \rho^+$ and
  $\phi l^+ \nu_l$   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 $q^2$.

2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph