Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phenomenological studies on the $\bar{B}^0\rightarrow
  [K^-\pi^+]_{S/V}[\pi^+\pi^-]_{V/S} \rightarrow K^-\pi^+\pi^+\pi^-$ decay   Within the quasi-two-body decay model, we study the localized $CP$ violation
and branching fraction of the four-body decay $\bar{B}^0\rightarrow
[K^-\pi^+]_{S/V}[\pi^+\pi^-]_{V/S} \rightarrow K^-\pi^+\pi^-\pi^+$ when
$K^-\pi^+$ and $\pi^-\pi^+$ pair invariant masses are $0.35<m_{K^-\pi^+}<2.04
\, \mathrm{GeV}$ and $0<m_{\pi^-\pi^+}<1.06\, \mathrm{GeV}$, with the pairs
being dominated by the $\bar{K}^*_0(700)^0$, $\bar{K}^*(892)^0$,
$\bar{K}^*(1410)^0$, $\bar{K}^*_0(1430)$ and $\bar{K}^*(1680)^0$, and
$f_0(500)$, $\rho^0(770)$ , $\omega(782)$ and $f_0(980)$ resonances,
respectively. When dealing with the dynamical functions of these resonances,
$f_0(500)$, $\rho^0(770)$, $f_0(980)$ and $\bar{K}^*_0(1430)$ are modeled with
the Bugg model, Gounaris-Sakurai function, Flatt$\acute{\mathrm{e}}$ formalism
and LASS lineshape, respectively, while others are described by the
relativistic Breit-Wigner function. Adopting the end point divergence
parameters $\rho_A\in[0,0.5]$ and $\phi_A\in[0,2\pi]$, our predicted results
are $\mathcal{A_{CP}}(\bar{B}^0\rightarrow
K^-\pi^+\pi^+\pi^-)\in[-0.383,0.421]$ and $\mathcal{B}(\bar{B}^0\rightarrow
K^-\pi^+\pi^+\pi^-)\in[7.36,199.69]\times10^{-8}$ based on the hypothetical
$q\bar{q}$ structures for the scalar mesons in the QCD factorization approach.
Meanwhile, we calculate the $CP$ violating asymmetries and branching fractions
of the two-body decays $\bar{B}^0\rightarrow SV(VS)$ and all the individual
four-body decays $\bar{B}^0\rightarrow SV(VS) \rightarrow K^-\pi^+\pi^-\pi^+$,
respectively. Our theoretical results for the two-body decays
$\bar{B}^0\rightarrow \bar{K}^*(892)^0$$f_0(980)$, $\bar{B}^0\rightarrow
\bar{K}^*_0(1430)^0$$\omega(782)$, $\bar{B}^0\rightarrow
\bar{K}^*(892)^0f_0(980)$, $\bar{B}^0\rightarrow\bar{K}^*_0(1430)^0\rho$,

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The categories of this paper are: supr-con
19
The categories of this paper are: eess
2
The categories of this paper are: math
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin