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Evidence of $$A_{CP}(D^0\rightarrow \pi ^+\pi ^-)$$ implies observable CP asymmetry in the $$D^0\rightarrow \pi ^0\pi ^0$$ decay
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AbstractInspired by the recent measurement of CP asymmetry in the individual mode on LHCb, we study CP asymmetry of the $$D\rightarrow \pi \pi $$
D
→
π
π
system in the isospin and topological analysis. The ratio between penguin and tree amplitudes $$P/(T+C)$$
P
/
(
T
+
C
)
in the $$D\rightarrow \pi \pi $$
D
→
π
π
system is found to be greater than two in most values of the relative strong phase. And $$D^0\rightarrow \pi ^0\pi ^0$$
D
0
→
π
0
π
0
is a potential mode to reveal the CP asymmetry of the order of $$10^{-3}$$
10
-
3
, which would be observed by Belle II in the future. The large CP asymmetry in the $$D\rightarrow \pi \pi $$
D
→
π
π
system might be understood in the t-channel final-state interaction.
Title: Evidence of $$A_{CP}(D^0\rightarrow \pi ^+\pi ^-)$$ implies observable CP asymmetry in the $$D^0\rightarrow \pi ^0\pi ^0$$ decay
Description:
AbstractInspired by the recent measurement of CP asymmetry in the individual mode on LHCb, we study CP asymmetry of the $$D\rightarrow \pi \pi $$
D
→
π
π
system in the isospin and topological analysis.
The ratio between penguin and tree amplitudes $$P/(T+C)$$
P
/
(
T
+
C
)
in the $$D\rightarrow \pi \pi $$
D
→
π
π
system is found to be greater than two in most values of the relative strong phase.
And $$D^0\rightarrow \pi ^0\pi ^0$$
D
0
→
π
0
π
0
is a potential mode to reveal the CP asymmetry of the order of $$10^{-3}$$
10
-
3
, which would be observed by Belle II in the future.
The large CP asymmetry in the $$D\rightarrow \pi \pi $$
D
→
π
π
system might be understood in the t-channel final-state interaction.
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