Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct $CP$ violation for $\bar{B}_s^0 \to \phi {\pi^+}{\pi^-}$ in
  Perturbative QCD   In perturbative QCD approach, we study the direct $CP$ violation in the decay
of $\bar{B}_s^0\to\rho(\omega )\phi\to {\pi^+}{\pi^-}\phi$ via isospin symmetry
breaking. An interesting mechanism involving the charge symmetry violating
between $\rho$ and $\omega$ is applied to enlarge the $CP$ violating asymmetry.
We find that the $CP$ violation can be enhanced by the $\rho-\omega$ mixing
mechanism when the invariant masses of the $\pi^+\pi^-$ pairs are in the
vicinity of the $\omega$ resonance. For the decay process of
$\bar{B}^0_{s}\to\rho(\omega )\phi\to{\pi^+}{\pi^-}\phi$, the maximum $CP$
violation can reach $5.98\%$. The possibility of detecting the $CP$ violation
is also presented.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: quant-ph