Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sum Rules of Charm CP Asymmetries beyond the SU(3)$_F$ Limit   We find new sum rules between direct CP asymmetries in $D$ meson decays with
coefficients that can be determined from a global fit to branching ratio data.
Our sum rules eliminate the penguin topologies $P$ and $PA$, which cannot be
determined from branching ratios. In this way we can make predictions about
direct CP asymmetries in the standard model without ad hoc assumptions on the
sizes of penguin diagrams. We consistently include first-order SU(3)$_F$
breaking in the topological amplitudes extracted from the branching ratios. By
confronting our sum rules with future precise data from LHCb and Belle~II one
will identify or constrain new-physics contributions to $P$ or $PA$. The first
sum rule correlates the CP asymmetries $a_{CP}^{\mathrm{dir}}$ in $D^0\to
K^+K^-$, $D^0\to \pi^+\pi^-$, and $D^0\to \pi^0\pi^0$. We study the region of
the $a_{CP}^{\mathrm{dir}}(D^0\to \pi^+\pi^-)$--$a_{CP}^{\mathrm{dir}} (D^0\to
\pi^0\pi^0)$ plane allowed by current data and find that our sum rule excludes
more than half of the allowed region at 95\% C.L. Our second sum rule
correlates the direct CP asymmetries in $D^+\rightarrow \bar{K}^0 K^+$,
$D_s^+\rightarrow K^0 \pi^+$, and $D_s^+\rightarrow K^+\pi^0$.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph