The most precise measurement of decay-time-dependent CP violation in the decays of [Formula: see text] and [Formula: see text] was reported by LHCb collaboration with the values of [Formula: see text] and [Formula: see text] [Formula: see text]. In this study, the parameters of CP violation in these decay modes have been calculated under the factorization approach. In these decays, CP violation in the interference of mixing and decay has has arisen from decay-time-dependent asymmetry. This type of CP violation has been characterized by [Formula: see text]. We have estimated the parameters of [Formula: see text] and [Formula: see text] for the [Formula: see text] decay and [Formula: see text] and [Formula: see text] correspond to the [Formula: see text] decay which are compatible with the experimental values approved by the LHCb collaboration. In the following, we have obtained the value of [Formula: see text]. Finally, we have calculated the total amplitude and obtained comparable results with the experimental values for the branching ratios of both decays.
The most precise measurement of the the slope of the time-dependent asymmetry defined by the parameter
Δ
Y
f
(
f
=
K
+
K
−
,
π
+
π
−
), of the decay rates of
D
0
and
D
¯
0
mesons into the final states in the decays
D
0
→
K
+
K
−
and
D
0
→
π
+
π
−
were recently reported by LHCb collaboration with the values of
Δ
Y
K
+
K
−
=
(
−
2.3
±
1.5
±
0.3
)
×
1
0
−
4
and
Δ
Y
π
+
π
−
=
(
−
4.0
±
2.8
±
0.4
)
×
1
0
−
4
.
In this study, we have obtained
Δ
Y
K
+
K
−
=
(
−
2.27
±
1.12
)
×
1
0
−
4
and
Δ
Y
π
+
π
−
=
(
−
3.15
±
1.72
)
×
1
0
−
4
where
Δ
Y
constrains possible
CP
violation. The
CP
violation in the decays
D
0
→
K
+
K
−
and
D
0
→
π
+
π
−
have been calculated under the factorization approach. These decay modes include a current-current tree and penguin diagrams that their amplitudes are considered separately, by introducing strong and weak phases with the
δ
and
ϕ
parameters, respectively. We have obtained for both of decays
δ
1
=
0
∘
,
δ
2
=
(
90.04
±
0.01
)
∘
,
ϕ
1
=
0
∘
and
ϕ
2
=
(
68.48
±
1.55
)
∘
.
The
CP
asymmetries are calculated to be
A
CP
(
K
+
K
−
)
=
(
+
0.03
±
0.02
)
%
and
A
CP
(
π
+
π
−
)
=
(
+
0.03
±
0.01
)
%
at
μ
=
1
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