Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-two-body decays $B_{(s)}\to P\rho\to P\pi\pi$ in perturbative QCD
  approach   In this work, we calculate the $CP$-averaged branching ratios and the direct
$CP$-violating asymmetries of the quasi-two-body decays $B_{(s)} \to P (\rho
\to) \pi\pi$ by employing the perturbative QCD (PQCD) approach (here $P$ stands
for a light pseudoscalar meson $\pi, K, \eta$ or $\eta^{\prime}$). The vector
current time-like form factor $F_{\pi}$, which contains the final state
interactions between the pion pair in the resonant region associated with the
$P$-wave states $\rho(770)$ along with the two-pion distribution amplitudes,
are employed to describe the interactions between the $\rho$ and the pion pair
under the hypothesis of the conserved vector current. We found that (a) the
PQCD predictions for the branching ratios and the direct $CP$-violating
asymmetries for most considered $B_{(s)} \to P (\rho \to) \pi\pi$ decays agree
with currently available data within errors; (b) for ${\cal B}(B \to \pi^0
\rho^0 \to \pi^0(\pi^+ \pi^-)$, the PQCD prediction is much smaller than the
measured one; and (c) for $B^+ \to \pi^+(\rho^0\to)\pi^+ \pi^-$ decay mode, we
found a negative $CP$ asymmetry $(-27.5^{+3.0}_{-3.7})\%$, which agrees with
other theoretical predictions but different in sign from those as reported by
BaBar and LHCb Collaboration.

28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc