Amplitude analysis of the anomalous decay $\eta'\to\pi^+\pi^-\gamma$ - INSPIRE

DataBETA

Amplitude analysis of the anomalous decay $\eta'\to\pi^+\pi^-\gamma$

Ling-Yun Dai
(
- Hunan U. and
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)
,
Xian-Wei Kang
(
- Taiwan, Inst. Phys.
)
,
Ulf-G. Meißner
(
- U. Bonn, Phys. Inst., BCTP and
- Bonn U., HISKP and
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)
,
Xin-Ying Song
(
- Julich, Forschungszentrum and
- Beijing, Inst. High Energy Phys.
)
,
De-Liang Yao
(
- Valencia U., IFIC
)

Dec 6, 2017

12 pages

Published in:

Phys.Rev.D 97 (2018) 3, 036012

Published: Feb 14, 2018

e-Print:

1712.02119 [hep-ph]

DOI:

10.1103/PhysRevD.97.036012

View in:

ADS Abstract Service

reference search24 citations

Citations per year

Abstract: (APS)

In this paper we perform an amplitude analysis of η′→π+π-γ and confront it with the latest BESIII data. Based on the final-state interaction theorem, we represent the amplitude in terms of an Omnés function multiplied by a form factor that corresponds to the contributions from left-hand cuts and right-hand cuts in the inelastic channels. We also take into account the isospin violation effect induced by ρ-ω mixing. Our results show that the anomaly contribution is mandatory in order to explain the data. Its contribution to the decay width of Γ(η′→ππγ) is larger than that induced by isospin violation. Finally we extract the pole positions of the ρ and ω as well as their corresponding residues.

Note:

12 pages, 5 figures, typos corrected

eta(958): decay
decay: amplitude analysis
eta(958): width
eta(958): form factor
final-state interaction
isospin: violation
partial wave analysis
partial wave: dispersion relation
effective Lagrangian: chiral
BES

References(88)

Figures(7)

[1]

Anomalies in quantum field theory

R.A. Bertlmann
(
- Vienna U.
)

- Oxford, UK: Clarendon (1996) 566 p. (International series of monographs on physics: 91)

[2]

Model-independent approach to eta -> pi+ pi- gamma and eta' -> pi+ pi- gamma

F. Stollenwerk
(
- IAS, Julich
)
,
C. Hanhart
(
- IAS, Julich
)
,
A. Kupsc
(
- Uppsala U. and
- Warsaw, Inst. Nucl. Studies
)
,
U.G. Meissner
(
- IAS, Julich and
- Bonn U. and
- Bonn U., HISKP
)
,
A. Wirzba
(
- IAS, Julich
)

- Phys.Lett.B 707 (2012) 184-190
•
e-Print:
- 1108.2419
•
DOI:
- 10.1016/j.physletb.2011.12.008

[3]

Anomalous decay and scattering processes of the $\eta$ meson

Bastian Kubis
(
- Bonn U. and
- Bonn U., HISKP
)
,
Judith Plenter
(
- Bonn U., HISKP
)

- Eur.Phys.J.C 75 (2015) 6, 283
•
e-Print:
- 1504.02588
•
DOI:
- 10.1140/epjc/s10052-015-3495-5

[4]

Towards an improved understanding of $\eta \to \gamma^* \gamma^*$

S. Holz
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
J. Plenter
(
)
,
C.W. Xiao
(
- Julich, Forschungszentrum and
- IAS, Julich and
- JCHP, Julich and
- Central South U., Changsha
)
,
T. Dato
(
- Bonn U., HISKP
)
,
C. Hanhart
(
- Julich, Forschungszentrum and
- IAS, Julich and
- JCHP, Julich
)

et al.

- Eur.Phys.J.C 81 (2021) 11, 1002
•
e-Print:
- 1509.02194
•
DOI:
- 10.1140/epjc/s10052-021-09661-0

[5]

The branching ratio $\omega \rightarrow \pi ^+\pi ^-$ revisited

C. Hanhart
(
- IAS, Julich and
- Julich, Forschungszentrum
)
,
S. Holz
(
- Bonn U., HISKP
)
,
B. Kubis
(
- Bonn U., HISKP and
- Bonn U.
)
,
A. Kupść
(
- Uppsala U. and
- Warsaw, Inst. Nucl. Studies and
- Warsaw U.
)
,
A. Wirzba
(
- IAS, Julich and
- Julich, Forschungszentrum and
- Santa Barbara, KITP
)

et al.

- Eur.Phys.J.C 77 (2017) 2, 98,
- Eur.Phys.J.C 78 (2018) 6, 450 (erratum)
•
e-Print:
- 1611.09359
•
DOI:
- 10.1140/epjc/s10052-017-4651-x

[6]

Sum rules for light-by-light scattering

- Phys.Rev.Lett. 105 (2010) 201603
•
e-Print:
- 1008.1088
•
DOI:
- 10.1103/PhysRevLett.105.201603

[7]

Light-by-light scattering sum rules in light of new data

Igor Danilkin
(
- Mainz U., Inst. Kernphys. and
- U. Mainz, PRISMA
)
,
Marc Vanderhaeghen
(
- Mainz U., Inst. Kernphys. and
- U. Mainz, PRISMA
)

- Phys.Rev.D 95 (2017) 1, 014019
•
e-Print:
- 1611.04646
•
DOI:
- 10.1103/PhysRevD.95.014019

[8]

Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions

Ling-Yun Dai
(
- Indiana U., CEEM and
- IAS, Julich and
- Indiana U. and
- JCHP, Julich
)
,
M.R. Pennington
(
- William-Mary Coll. and
- Jefferson Lab
)

- Phys.Rev.D 95 (2017) 5, 056007
•
e-Print:
- 1701.04460
•
DOI:
- 10.1103/PhysRevD.95.056007

[9]

Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment

T. Blum
(
- Connecticut U.
)
,
P.A. Boyle
(
- Edinburgh U.
)
,
T. Izubuchi
(
- Brookhaven Natl. Lab. and
- RIKEN BNL
)
,
L. Jin
(
- Columbia U.
)
,
A. Jüttner
(
- U. Southampton (main)
)

et al.

- Phys.Rev.Lett. 116 (2016) 23, 232002
•
e-Print:
- 1512.09054
•
DOI:
- 10.1103/PhysRevLett.116.232002

[10]

F. Jegerlehner

- Springer Tracts Mod.Phys. 274 (2017) 1

[11]

The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD

M. Della Morte
(
- Southern Denmark U., CP3-Origins
)
,
A. Francis
(
- York U., Canada
)
,
V. Gülpers
(
- Southampton U.
)
,
G. Herdoíza
(
- Madrid, IFT
)
,
G. von Hippel
(
- U. Mainz, PRISMA and
- Mainz U., Inst. Kernphys.
)

et al.

- JHEP 10 (2017) 020
•
e-Print:
- 1705.01775
•
DOI:
- 10.1007/JHEP10(2017)020

[12]

The New (g-2) Experiment: A proposal to measure the muon anomalous magnetic moment to +-0.14 ppm precision

et al.

DOI:
- 10.2172/952029

[12]

The new (g-2)mu experiment at Fermilab

Brendan C.K. Casey
(
- Fermilab
)

- AIP Conf.Proc. 1182 (2009) 1, 726-729
•
DOI:
- 10.1063/1.3293911

[13]

A novel precision measurement of muon g-2 and EDM at J-PARC

J-PARC g-'2/EDM

Collaboration

•

Naohito Saito
(
- KEK, Tsukuba
)

for the collaboration.

- AIP Conf.Proc. 1467 (2012) 45-56
•
DOI:
- 10.1063/1.4742078

[14]

Exclusive Measurement of the $\eta \to \pi^+ \pi^- \gamma$ Decay

WASA-at-COSY

Collaboration

•

P. Adlarson
(
- Uppsala U.
)

et al.

- Phys.Lett.B 707 (2012) 243-249
•
e-Print:
- 1107.5277
•
DOI:
- 10.1016/j.physletb.2011.12.027

[15]

Measurement of $\Gamma(\eta \to \pi^+\pi^-\gamma)/\Gamma(\eta \to \pi^+\pi^-\pi^0)$ with the KLOE Detector

KLOE

Collaboration

•

D. Babusci
(
- Frascati
)

et al.

- Phys.Lett.B 718 (2013) 910-914
•
e-Print:
- 1209.4611
•
DOI:
- 10.1016/j.physletb.2012.11.032

[16]

A Measurement of the Reaction $e^+ e^- \to e^+ e^- \eta^\prime$ and the Radiative Width $\Gamma (\eta^\prime \to \gamma \gamma$ ) at {PETRA}

JADE

Collaboration

•

W. Bartel
(
- DESY
)

et al.

- Phys.Lett.B 113 (1982) 190-194
•
DOI:
- 10.1016/0370-2693(82)90422-1

[17]

Determination of the Radiative Widths of the $\eta^\prime$ and A2 From Two Photon Exchange Production

CELLO

Collaboration

•

H.J. Behrend
(
- DESY
)

et al.

- Phys.Lett.B 114 (1982) 378,
- Phys.Lett.B 125 (1983) 518 (erratum)
•
DOI:
- 10.1016/0370-2693(82)90366-5

[18]

Measurement of Exclusive $\eta^\prime$ Production in $\gamma \gamma$ Reactions

PLUTO

Collaboration

•

Christoph Berger
(
- Aachen, Tech. Hochsch.
)

et al.

- Phys.Lett.B 142 (1984) 125-129
•
DOI:
- 10.1016/0370-2693(84)91147-X

[19]

Measurement of the Radiative Width of the $\eta^\prime$ (958) in Two Photon Interactions

TASSO

Collaboration

•

M. Althoff
(
- Aachen, Tech. Hochsch.
)

et al.

- Phys.Lett.B 147 (1984) 487-492
•
DOI:
- 10.1016/0370-2693(84)91409-6

[20]

A study of $\eta^\prime$ formation in photon-photon collisions

TPC/Two Gamma

Collaboration

•

H. Aihara

et al.

- Phys.Rev.D 35 (1987) 2650,
- Phys. Rev. D35 ( 1987) 2650-2654
•
DOI:
- 10.1103/PhysRevD.35.2650

[21]

Measurement of $\eta^\prime \to \pi^+ \pi^- \gamma$ in $\gamma \gamma$ Collisions

ARGUS

Collaboration

•

H. Albrecht
(
- DESY
)

et al.

- Phys.Lett.B 199 (1987) 457-461
•
DOI:
- 10.1016/0370-2693(87)90953-1

[22]

$B_{l4}$ decays and the extraction of $|V_{ub}|$

Xian-Wei Kang
(
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)
,
Bastian Kubis
(
- Bonn U., HISKP and
- Bonn U.
)
,
Christoph Hanhart
(
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)
,
Ulf-G. Meißner
(
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum and
- Bonn U., HISKP and
- Bonn U.
)

- Phys.Rev.D 89 (2014) 053015
•
e-Print:
- 1312.1193
•
DOI:
- 10.1103/PhysRevD.89.053015

[23]

Study of the radiative decay eta-prime ---> pi+ pi- gamma

et al.

- Z.Phys.C 50 (1991) 451-454
•
DOI:
- 10.1007/BF01551456

[24]

Measurement of the decay distribution of eta-prime --> pi+ pi- pi- gamma and evidence for the box anomaly

Crystal Barrel

Collaboration

•

A. Abele
(
- Karlsruhe U.
)

et al.

- Phys.Lett.B 402 (1997) 195-206
•
DOI:
- 10.1016/S0370-2693(97)00479-6

1-25 of 88
1
2
3
4
25 / page