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Takayuki MatsukiTokyo Kasei University
Hadronic Loop Contributions to Heavy Quarkonium Decay
In collaboration with Dian-Yong Chen, Xiang Liu, Jun He, Yu-Bing Dong, Xue-Qian Li
πΌ ππ β ππππ±
Outline
β’ Quenched Vs Unquenched
β’ Meson Loop effects on QQ decay
β’ Strong decay (OZI forbidden process)πΌ ππ β ππππ±, π ππππ /π ππππ β π±/ππΌ, πππ β π½π½
β’ Radiative decayππ ππ· β πΌπ(ππΊ)πΈ, πππ β πΈπ½
β’ Summary
T. Matsuki @ TKU 2
πΈ πΈ
heavy quarkonium (Quenched Vs Unquenched)
Quenched Scenario(Naive quark model)
Unquenched Scenario
πΈ πΈ
π π Quark pair created by vacuum
πΈ πΈ
πΈ π
π πΈ
Strong couplingβ’ Non-perturbative properties
of QCDβ’ Meson loop is an effective
description for non-perturbative effect of QCD
β’ For decay A->BCπ©πͺ π―π π¨
=
π©β²πͺβ²
π©πͺ π―π π©β²πͺβ² β¨π©β²πͺβ² π―π π¨β©
T. Matsuki @ TKU 3
strong decays:β’ J/ΟβPV X. Liu, X.Q. Zeng, X.Q. Li PRD74,074006 (2006)
β’ J/Ο, ΟββΟΟ0 G.Li, Q.Zhao, B.S.Zou , PRD77,014010(2008)
β’ Ο(3770) βnon-DDbar Y.J.Zhang,G.Li,Q.Zhao, PRL102,172001(2009)
X.Liu,B.zhang,X.Q.Li, PLB675,441(2009)
β’ Οββ J/Ο Ο0(Ξ·) F.K.Guo,G.Hanhart,U.-U.Meissner,PRL103,082003(2009)
Radiative Decayβ’ J/Ο, Οβ βΞ³Ξ·c , Ξ³Ξ·cβ G. Li, Q.Zhao,PLB670,55(2008)
Weak Decayβ’ B βKhc P.Colangelo,F.De.Fazio,T.N.Pham,PRD69,054023(2004)
β’ B βKΟc0 P.Colangelo,F.De.Fazio,T.N.Pham,PLB542,71(2002)
Applications of Hadronic loop:
β’ Could be more ....T. Matsuki @ TKU 4
T. Matsuki @ TKU 5
Cusp effect / Threshold effectcan be described as (S wave)
Peak structure looks like Initial Single Chiral Particle Emission (ISChE) mechanism
Off-Peak point enhances Final State Interaction (FS)s=Mi
2
Same origin
Intuitive Explanation
s
ProcessChen, Liu, Matsuki, Phys. Rev. D90, 034019 (2014)
πΌ ππ β ππππ±
T. Matsuki @ TKU 6
πΌ ππ β ππππ±: Experimental informationPhysRevLett.113.142001@Belle
π signal region outside of the π signal region
T. Matsuki @ TKU 7
Meson Loop contributions:
Quark Level
β’ meson loop contributions are evaluated in hadron level
β’ interactions are described by effective Lagrangians
β’ effective Lagrangians are constructed based on heavy quark symmetry & chiral symmetry
Quenched (OZI Suppressed) Unquenched (Meson Loop)
T. Matsuki @ TKU 8
Form factors:
β’ Internal structures of the involved particles
β’ Off shell effects
β’ Remove the divergence of the loop integrals
Monopole form
Conclusion:
β’ Meson loop can explain the experimental data
β’ Common alpha range
β’ Which reflects the similarity of these processes
Chen, Liu, Matsuki, PRD90,034019
T. Matsuki @ TKU 9
ProcessChen, Liu, Matsuki, Phys. Rev. D87, 054006 (2013)
π ππππ /π ππππ β π±/ππΌ
T. Matsuki @ TKU 10
π ππππ /π ππππ β π±/ππΌ: Experimental information
.
Phys.Rev.D87(5): 051101@Belle
π+πβ β π±/ππΌ
Phys.Rev.D86: 071101@BESIII
Ξ· signal in π±/π(π+πβ) signal region @4.009 GeV
π© π ππππ β πΌπ= π. π Β± π. π Β± π. π Β± π. π Γ ππβπ
β’ Consistent with Solution I of Belle Collaboration
T. Matsuki @ TKU 11
Meson Loop contributions
B(π ππππ /π ππππ β π±/ππΌ)
πΉπΌβ²/πΌ(π ππππ )
Chen, Liu, Matsuki,PRD87,054006
β’ The ratio is weakly dependent on parameter Ξ±;
β’ Predicted: π©(π ππππ βπΌπ±/π) = π βΌ π. π Γ ππβπ ;
β’ Consistent with upper limit (5Γ10-3) @CLEO (PRL96,162003)
T. Matsuki @ TKU 12
ProcessChen, Liu, Matsuki, Phys. Rev. D87, 094010 (2013)
ππ ππ· β πΌπ(ππΊ)πΈ
T. Matsuki @ TKU 13
hb(1P) region
hb(2P) region
hb(2P) region
Ξ·b(1S) signal
Ξ·b(2S) signal
ππ ππ· β πΌπ(ππΊ)πΈ
Phys.Rev.Lett.109,232002@Belle E1 transition in naive quark model
πΈ
πΌπ(ππΊ)ππ ππ·
Branching Ratio(%)
βb 1P ππ 1π ππ. π Β± π. πβπ.π+π.π ππ. π
βb 2P ππ 1π ππ. π Β± π. πβπ.π+π.π ππ. π
βb 2P ππ 2π ππ. π Β± ππ. πβπ.π+π.π ππ. π
Initial Final Expt. QM
Godfrey and Rosner Phys.Rev.D.66,014012
Experimental data are not consistent with the predictions of naive quark model. Need other sources!!
T. Matsuki @ TKU 14
E1 transition + meson loop contribution
Triangle diagrams
Contact diagrams
Ensure the gauge invariance of the photon field
Gaugue invariant amplitudes
T. Matsuki @ TKU 15
Radiative decay width
Naive quark model + meson loop contributions can explain the experimental data
Chen, Liu, Matsuki, PRD87,094010T. Matsuki @ TKU 16
Some other Hadronic Loop EffectsFormer papers
T. Matsuki @ TKU 17
cc1 βVV: experimental measurements@BESIII
ccJ βK*K*:
Phys.Rev.D70: 092003@BES
cc1
4K mode
3Ο2K mode
Phys.Rev.Lett. 107, 092001@BES
Final Branching Ratios(Γ 10β4)
πΎβ πΎβ 16.7 Β± 3.2 Β± 3.1
ππ 6.0 Β± 0.3 Β± 0.7
ππ 5.0 Β± 0.5 Β± 0.6
ππ 0.22 Β± 0.06 Β± 0.02
Summary
T. Matsuki @ TKU 18
Meson Loop
S-wave couplingπ β π mixing
6.0 Β± 0.3 Β± 0.7 Γ 10β4
5.0 Β± 0.5 Β± 0.6 Γ 10β4
0.22 Β± 0.06 Β± 0.02 Γ 10β4
Input channel: determine the parameter range
ππ,ππ mode: Consistent with experimental measurementsππ mode: Only comes from π β π mixing, other mechanism?
Chen, He, Li, Liu, PRD81,074006
T. Matsuki @ TKU 19
Experiment@CLEO (Quenched) PQCD calculation
Phys.Rev.Lett.101,151801@CLEO
Y.J. Gao, Y.J. Zhang, K.T. Chao, Hep-ph/0607278
PQCD results are not consistent with the experimental measurement
cc1 βΞ³V
T. Matsuki @ TKU 20
Does hadronic loop effect still play an important role to
cc1 βΞ³V ?
Apply the same mechanism to study cc1 βΞ³V
Test hadronic loop effect applied to cc1 βVV!
T. Matsuki @ TKU 21
There exists overlap between the numerical result obtained in this work and the experimental data announced by CLEO
Chen, Dong, Liu, Eur.Phys.J.C .70.177T. Matsuki @ TKU 22
Summary
β’ Meson loop is an effective description for non-perturbative aspect of QCD;
β’ It seems to be essential to understand some peculiar properties in heavy quarkoniadecay;
β’ The quantitative calculations are sensitive to cut-off and exhibit model-dependent features;
β’ Need more processes both for theorists and experimentists
T. Matsuki @ TKU 23
Thanks for your attention!
Loop is important like these Sumo wrestlersT. Matsuki @ TKU 24
Effective Lagrangians (In heavy quark limit)
S-wave bottom meson:
S-wave bottomonia:
P-wave bottomonia:
Heavy-light meson: independent on heavy quark spin and flavor
Heavy quarkonium:degenerate under rotations of the two heavy quark spins
Effective Lagrangians:
T. Matsuki @ TKU 25
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