Amplitude analysis of the
B+→π+π+π−
decay
B+→π+π+π−
decay
File(s)
Published version
Author(s)
Type
Journal Article
Abstract
The results of an amplitude analysis of the charmless three-body decay
B
+
→
π
+
π
+
π
−
, in which
C
P
-violation effects are taken into account, are reported. The analysis is based on a data sample corresponding to an integrated luminosity of
3
fb
−
1
of
p
p
collisions recorded with the LHCb detector. The most challenging aspect of the analysis is the description of the behavior of the
π
+
π
−
S
-wave contribution, which is achieved by using three complementary approaches based on the isobar model, the
K
-matrix formalism, and a quasi-model-independent procedure. Additional resonant contributions for all three methods are described using a common isobar model, and include the
ρ
(
770
)
0
,
ω
(
782
)
and
ρ
(
1450
)
0
resonances in the
π
+
π
−
P
-wave, the
f
2
(
1270
)
resonance in the
π
+
π
−
D
-wave, and the
ρ
3
(
1690
)
0
resonance in the
π
+
π
−
F
-wave. Significant
C
P
-violation effects are observed in both
S
- and
D
-waves, as well as in the interference between the
S
- and
P
-waves. The results from all three approaches agree and provide new insight into the dynamics and the origin of
C
P
-violation effects in
B
+
→
π
+
π
+
π
−
decays.
B
+
→
π
+
π
+
π
−
, in which
C
P
-violation effects are taken into account, are reported. The analysis is based on a data sample corresponding to an integrated luminosity of
3
fb
−
1
of
p
p
collisions recorded with the LHCb detector. The most challenging aspect of the analysis is the description of the behavior of the
π
+
π
−
S
-wave contribution, which is achieved by using three complementary approaches based on the isobar model, the
K
-matrix formalism, and a quasi-model-independent procedure. Additional resonant contributions for all three methods are described using a common isobar model, and include the
ρ
(
770
)
0
,
ω
(
782
)
and
ρ
(
1450
)
0
resonances in the
π
+
π
−
P
-wave, the
f
2
(
1270
)
resonance in the
π
+
π
−
D
-wave, and the
ρ
3
(
1690
)
0
resonance in the
π
+
π
−
F
-wave. Significant
C
P
-violation effects are observed in both
S
- and
D
-waves, as well as in the interference between the
S
- and
P
-waves. The results from all three approaches agree and provide new insight into the dynamics and the origin of
C
P
-violation effects in
B
+
→
π
+
π
+
π
−
decays.
Date Issued
2020-01-21
Date Acceptance
2019-12-10
Citation
Physical Review D: Particles, Fields, Gravitation and Cosmology, 2020, 101 (1), pp.012006-1-012006-46
ISSN
1550-2368
Publisher
American Physical Society
Start Page
012006-1
End Page
012006-46
Journal / Book Title
Physical Review D: Particles, Fields, Gravitation and Cosmology
Volume
101
Issue
1
Copyright Statement
© 2020 CERN, for the LHCb Collaboration. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Identifier
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.012006
Subjects
Nuclear & Particles Physics
0201 Astronomical and Space Sciences
0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
0206 Quantum Physics
Publication Status
Published
Article Number
012006
Date Publish Online
2020-01-21