Mixing and indirect CP violation in charm decays at LHCb
Abstract: The very large datasets of charm decays collected by the LHCb experiment from 2011 to 2018 allow the measurement of the mixing and charge-parity ( ) violation properties of 0 mesons with unprecedented precision. This document covers two recent analyses studying mixing and time-dependent violation in charm decays at LHCb. The first analysis presents the world's most precise determination of the violation parameter Δ , while the second accounts for the first observation of the mass difference between neutral cha… Show more
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References 19 publications
The slope of the time-dependent asymmetry, Δ YK+K− and Δ Yπ+π−, in D 0 → K + K −and D 0 → π + π − 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
The slope of the time-dependent asymmetry, Δ YK+K− and Δ Yπ+π−, in D 0 → K + K −and D 0 → π + π − 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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