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Charm and DecaysResults from Babar and Belle
Jens Sören Lange(University of Giessen)
43th Rencontres de MoriondQCD and High Energy Interactions
La Thuile. March 9, 2008
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Outline
Charm Decays
● DsJ decays into D*K: Ds1(2536) into DK: DsJ(2700), DsJ(2860)
● Ds+ ! + , fDs
● Charmed baryons, c
Charm Decays
● DsJ decays into D*K: Ds1(2536) into DK: DsJ(2700), DsJ(2860)
● Ds+ ! + , fDs
● Charmed baryons, c
Decays
● Hadronic decayswith in final state
● Hadronic decayswith in final state
Decays
● Hadronic decayswith in final state
● Hadronic decayswith in final state
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Nucl. Instr. Meth. A479(2002)1
Integrated Luminosity 512.2 fb–1
Nucl. Instr. Meth. A479(2002)1
Integrated Luminosity 512.2 fb–1
Nucl. Instr. Meth A479(2002)117
Integrated Luminosity 773.7 fb–1
Nucl. Instr. Meth A479(2002)117
Integrated Luminosity 773.7 fb–1
Moriond QCD, March 9, 2008
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Charm Production at B Factories
● from B decays
~99% of all B mesons decay into charm final states
● from B decays
~99% of all B mesons decay into charm final states
● in continuum
cross section (~1.2 nb) is as high as B meson cross section (~1.1 nb)
● in continuum
cross section (~1.2 nb) is as high as B meson cross section (~1.1 nb)
D+
D–
D+
D–
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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A brief history of DsJ states
• Babar observed Ds0
*+(2317)Ds+ o
Phys. Rev. Lett. 90(2003)242001
• Cleo observed Ds1
+(2460)Ds+*o
Phys. Rev. D 68(2003)032002
• Ds in final state> most probable assignment[c s] L=1 states
• ~100 MeV too low comparedto early quark modelsGodfrey, Isgur, PRD 32(1985)189
• Properties of other states in Ds system?
• Babar observed Ds0
*+(2317)Ds+ o
Phys. Rev. Lett. 90(2003)242001
• Cleo observed Ds1
+(2460)Ds+*o
Phys. Rev. D 68(2003)032002
• Ds in final state> most probable assignment[c s] L=1 states
• ~100 MeV too low comparedto early quark modelsGodfrey, Isgur, PRD 32(1985)189
• Properties of other states in Ds system?
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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[c[cs] multipletss] multiplets
There are two 1+ states, mass difference m ' 76 MeV
! investigation of mixing
There are two 1+ states, mass difference m ' 76 MeV
! investigation of mixing
spin-orbit tensorspin-spin
L = 2…..
jq = sq + L, J = jq + sQ
L = 0 jq = 1/2 1-
0-
Ds*
Ds
mix?
0+
1+
1+
2+
JP
D*K threshold
D K thresholdDs0(2317)
Ds1(2460)
Ds1(2536)
DsJ(2573)jq = 3/2
jq = 1/2
L = 1
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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DsJ Decays into D*K
Ds1(2536)
DsJ Decays into D*K
Ds1(2536)
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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1st Observation of Ds1(2536) in B Decays
● B !D(*)D(*) K at Babar347 fb–1 , PRD-RC 77(2008)011102Ds1(2536)+ ! D*+Ks
0, D*0 K+
● Analysis of Ds1(2536) helicityfor quantum number confirmation
● JP=1+ in pure S-wavewould be flat
● JP=1– in pure P-waveand JP=1+ with S/D-wave admixturefit both well (2/n.d.f.=9.6/9 vs. 9.3/9)
● B !D(*)D(*) K at Babar347 fb–1 , PRD-RC 77(2008)011102Ds1(2536)+ ! D*+Ks
0, D*0 K+
● Analysis of Ds1(2536) helicityfor quantum number confirmation
● JP=1+ in pure S-wavewould be flat
● JP=1– in pure P-waveand JP=1+ with S/D-wave admixturefit both well (2/n.d.f.=9.6/9 vs. 9.3/9)
1-
1+
2+,–disfavoured
PDG2007
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Observation of Observation of DDs1s1(2536)(2536)→→DD++ππ––KK++
hep-ex/0709.4184 PRD 77(2008)032001
● Formerly known decay modes of Ds1(2536) ! D*+Ks
! D*0K+
! Ds +–
● Bellee+e-→Ds1(2536)X462 fb-1
Ds1(2536)→D+ – K+
3-body1st observation
Ds1(2536)→D*+Ks
2-bodyused for partial wave analysis
● Formerly known decay modes of Ds1(2536) ! D*+Ks
! D*0K+
! Ds +–
● Bellee+e-→Ds1(2536)X462 fb-1
Ds1(2536)→D+ – K+
3-body1st observation
Ds1(2536)→D*+Ks
2-bodyused for partial wave analysis
2-body
3-body
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Partial Wave Analysis Partial Wave Analysis DDs1s1(2536)(2536)→→D*D*++KK00ss
● Mixing of jMixing of jqq=1/2 and j=1/2 and jqq=3/2 states=3/2 states● HQET prediction for P-wave cs states:
• 1+(jq=3/2)→D*K should be pure D-wave decay
• 1+(jq=1/2)→D*K should be pure S-wave decay
● If HQET not exact: mixing of S/D waves possible
(by LS interaction)
● Mixing of jMixing of jqq=1/2 and j=1/2 and jqq=3/2 states=3/2 states● HQET prediction for P-wave cs states:
• 1+(jq=3/2)→D*K should be pure D-wave decay
• 1+(jq=1/2)→D*K should be pure S-wave decay
● If HQET not exact: mixing of S/D waves possible
(by LS interaction)
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Partial Wave Analysis Partial Wave Analysis DDs1s1(2536)(2536)→→D*D*++KK00ss
● Helicity formalism
● Fit results (syst. errors):
● S-wave dominates in Ds1(2536)→D*K(72 3 1)% might contradict HQET (c quark is not infinitely heavy)note: D-wave might be suppressed by centrifugal barrier
● Ds1(2460) and Ds1(2536) mix
● Helicity formalism
● Fit results (syst. errors):
● S-wave dominates in Ds1(2536)→D*K(72 3 1)% might contradict HQET (c quark is not infinitely heavy)note: D-wave might be suppressed by centrifugal barrier
● Ds1(2460) and Ds1(2536) mix
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
hep-ex/0709.4184 PRD 77(2008)032001
3-dim analysisprojections shown
Moriond QCD, March 9, 2008
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DsJ Decays into DK
DsJ(2700), DsJ(2860)
DsJ Decays into DK
DsJ(2700), DsJ(2860)
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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DsJ(2700)
● Belle, 414 fb-1
● DsJ(2700)dominating resonance in this B decay
● Belle, 414 fb-1
● DsJ(2700)dominating resonance in this B decay
New DNew DsJsJ meson in B meson in B++→→DD00DD00KK++
arXiv:0707.3491
Phys. Rev. Lett. 100(2008)092001
M(D0D0)>3.85 GeV
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
(4160) reflection
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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● Helicity angle distribution ● J=1 preferred● 1→0–0– decay implies
L=1! negative parity
● DsJ(2700) JP=1– state could be:● radial excitation 23S1
predicted by potential models at m~2720 GeVClose, Swanson, PLB 647(2007)159
● chiral doublet state 1– to 1+ Ds1(2536) predicted from chiral symmetryat m=2721±10 MeVNowak, Rho, Zahed, Acta Phys. Polon. B35, 2377 (2004)
● Helicity angle distribution ● J=1 preferred● 1→0–0– decay implies
L=1! negative parity
● DsJ(2700) JP=1– state could be:● radial excitation 23S1
predicted by potential models at m~2720 GeVClose, Swanson, PLB 647(2007)159
● chiral doublet state 1– to 1+ Ds1(2536) predicted from chiral symmetryat m=2721±10 MeVNowak, Rho, Zahed, Acta Phys. Polon. B35, 2377 (2004)
Quantum numbers of DQuantum numbers of DsJsJ(2700) (2700) →→DD00KK++
J=J=00 22//ndf=ndf=112112//55J=1J=1 22//ndf= ndf= 1111//5 5 J=2J=2 22//ndf=ndf=146/5146/5
D0
K+
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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DDsJsJ(2860) and D(2860) and DsJsJ(2700) at Babar and Belle(2700) at Babar and Belle
● Babar, 240 fb–1
in e+e– continuumPRL 97(2006)222001
● evidence for a new DsJ statem=2856.6±1.5±5.0 MeV=48±7±10 MeV
● Babar observes 3 structures● Ds2(2573)+● a broad structure peaking around 2.7 GeV
! DsJ(2700)?
● DsJ(2860)! not seen in Belle dataprobably in B decays suppressed by high spin?
● Babar, 240 fb–1
in e+e– continuumPRL 97(2006)222001
● evidence for a new DsJ statem=2856.6±1.5±5.0 MeV=48±7±10 MeV
● Babar observes 3 structures● Ds2(2573)+● a broad structure peaking around 2.7 GeV
! DsJ(2700)?
● DsJ(2860)! not seen in Belle dataprobably in B decays suppressed by high spin?
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Ds2(2573) DsJ(2700)? DsJ(2860)
DsJ(2700)?
DsJ(2860)
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Ds+!+
Ds+!+
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
● Pure leptonic decay, mediated by single W boson● Br measurement allows determination of fDs
● Pure leptonic decay, mediated by single W boson● Br measurement allows determination of fDs
'1
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Ds+!+
● Babar, 230.2 fb–1
PRL 98(2007)141801489§55 events
● Belle, 548 fb-1 arXiv:0709.1340subm. to Phys. Rev. Lett.169§16§8 events
● Signal peaks inM()–M()=143.5 MeVormrecoil(DKX)=m=0
● Background shapeDs
+ ! e+
suppressed by factor (m/me)2 ~105
● Babar, 230.2 fb–1
PRL 98(2007)141801489§55 events
● Belle, 548 fb-1 arXiv:0709.1340subm. to Phys. Rev. Lett.169§16§8 events
● Signal peaks inM()–M()=143.5 MeVormrecoil(DKX)=m=0
● Background shapeDs
+ ! e+
suppressed by factor (m/me)2 ~105
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Ds+!+ and fDs
● Comparison to theorysee Rosner, Stone, arXiv:0802.1043
● recent Lattice QCD calculationPhys. Rev. Lett. 100(2008)062002fDs=241§3 MeVa=0.09 fm, grid 283 x 96,incl. sea quarks
● indication for new physics?
● Comparison to theorysee Rosner, Stone, arXiv:0802.1043
● recent Lattice QCD calculationPhys. Rev. Lett. 100(2008)062002fDs=241§3 MeVa=0.09 fm, grid 283 x 96,incl. sea quarks
● indication for new physics?
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Charmed Baryons:Studies of the c system
Charmed Baryons:Studies of the c system
c c c c
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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A brief history of c charmed baryons
● c+K– + final state is used
for searches of double charm baryon ground states (ccq) weak decays
● However, Belle observed two new statesc(2980)+,0 ! c
+ Ks0 –
c(3077)+,0 ! c+ Ks
0 ● These are strong decays● Why is this surprising?
formerly only knowndecays c* ! c or c
● Here, the strange and the charm quark are observed in different hadrons
● c+K– + final state is used
for searches of double charm baryon ground states (ccq) weak decays
● However, Belle observed two new statesc(2980)+,0 ! c
+ Ks0 –
c(3077)+,0 ! c+ Ks
0 ● These are strong decays● Why is this surprising?
formerly only knowndecays c* ! c or c
● Here, the strange and the charm quark are observed in different hadrons
Belle, hep-ex/0606051 Phys.Rev.Lett. 97(2006)162001
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Evidence for two new c states
● Babar 384 fb-1Phys. Rev. D 77(2008)012002
● Confirmation ofc(2980) and c(3077)
● Final state c K but require invariant mass
● Evidence for two new statesc(3055)+ ! c(2455)++ K–
6.4 (JP=1/2+)
and c(3122)+ ! c(2520)++ K–
3.6 (JP=3/2+)
● A new Puzzlewhy decay into c(isospin=1) K?usc ! uucus
● Babar 384 fb-1Phys. Rev. D 77(2008)012002
● Confirmation ofc(2980) and c(3077)
● Final state c K but require invariant mass
● Evidence for two new statesc(3055)+ ! c(2455)++ K–
6.4 (JP=1/2+)
and c(3122)+ ! c(2520)++ K–
3.6 (JP=3/2+)
● A new Puzzlewhy decay into c(isospin=1) K?usc ! uucus
Cut on c(2455)
Cut on c(2520)
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
c(2980)c(3077)
c(3055)
c(3055)c(3122)
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Excited c Transistions
● Belle, 414 fb-1, hep-ex/0802.3968 subm. to Phys. Lett. B
● Is the c (2980) the first positive parity excitation of the c? (mass could be high enough)
● Or higher radial (n¸2) excitation?● New decay mode observed
c*(2980) ! c
*(2645) ● Single transitions give hints
for quantum number assignmente.g. c(2815)(3/2–) ! c is forbiddenc(2815)(3/2–) ! c(2645) ! c seen by Cleo
● This decay mode (assume S-wave) is predicted dominant for c1(½+)
● Belle, 414 fb-1, hep-ex/0802.3968 subm. to Phys. Lett. B
● Is the c (2980) the first positive parity excitation of the c? (mass could be high enough)
● Or higher radial (n¸2) excitation?● New decay mode observed
c*(2980) ! c
*(2645) ● Single transitions give hints
for quantum number assignmente.g. c(2815)(3/2–) ! c is forbiddenc(2815)(3/2–) ! c(2645) ! c seen by Cleo
● This decay mode (assume S-wave) is predicted dominant for c1(½+)
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
c(2815)
c(2980)
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Indication of another c state
● BABARPRD-RC 77, 031101 (2008) 210 fb-1
in B decaysB– ! [K– c
+] c–
Dalitz analysis
● BABARPRD-RC 77, 031101 (2008) 210 fb-1
in B decaysB– ! [K– c
+] c–
Dalitz analysis
● c(2930) ?● Predicted density of states
in this mass region is high
● c(2930) ?● Predicted density of states
in this mass region is high
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Hadronic Tau DecaysHadronic Tau Decays
Hadronic Decays with Hadronic Decays with
Moriond QCD, March 9, 2008
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Decays with final state
● Belle, hep-ex/0708.0733485 fb-1, 446x106 +–
Uncertainties on Br‘s improved by factor 4-6
● 3 pseudoscalar meson case:Wess-Zumino termmight increase Br by factor ¸10– ! K– 0 Br = (4.7§1.1§0.4) x 10–5
– ! – 0 Br = (1.39§0.03§0.07) x 10–3
● – ! – 0 also breaks G parity! suppressed by factor ~(md – mu)2
● Ongoing work(requires separation of resonant and non-resonant part)
● Belle, hep-ex/0708.0733485 fb-1, 446x106 +–
Uncertainties on Br‘s improved by factor 4-6
● 3 pseudoscalar meson case:Wess-Zumino termmight increase Br by factor ¸10– ! K– 0 Br = (4.7§1.1§0.4) x 10–5
– ! – 0 Br = (1.39§0.03§0.07) x 10–3
● – ! – 0 also breaks G parity! suppressed by factor ~(md – mu)2
● Ongoing work(requires separation of resonant and non-resonant part)
Hadronic Decays with Hadronic Decays with
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
Sören Lange
peak in KKK-K+K-K-K+K-
● BABAR342 fb–1
Phys.Rev.Lett.100(2008)011801 ● – ! K+ K– K–
● Cabbibo suppressed (Vus~0.2)● Resonant is saturating
! excluding , upper limit Br < 2.5 x 10–6
● consistent with BellePhys. Lett B643(2006)5
● BABAR342 fb–1
Phys.Rev.Lett.100(2008)011801 ● – ! K+ K– K–
● Cabbibo suppressed (Vus~0.2)● Resonant is saturating
! excluding , upper limit Br < 2.5 x 10–6
● consistent with BellePhys. Lett B643(2006)5
Decays with final state
Hadronic Decays with Hadronic Decays with
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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peak in KKK-K+K-
● BABAR342 fb–1
Phys.Rev.Lett.100(2008)011801 ● First measurement of
– ! K+ K– –
Br = (3.42§0.55§0.25) x 10-5
● OZI suppressed
● BABAR342 fb–1
Phys.Rev.Lett.100(2008)011801 ● First measurement of
– ! K+ K– –
Br = (3.42§0.55§0.25) x 10-5
● OZI suppressed
Decays with final state
–
Hadronic Decays with Hadronic Decays with
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Summary
● Results from Belle and Babar presented forDs1(2536), DsJ(2700), DsJ(2860), c**, Ds ! , fDs
Hadronic decays with and final states
Thank you for your attention.
● Results from Belle and Babar presented forDs1(2536), DsJ(2700), DsJ(2860), c**, Ds ! , fDs
Hadronic decays with and final states
Thank you for your attention.
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Ds+ ! + analysis technique
● Analysis technique:● full reconstruction
e+ e– ! Ds* D,0 K,0Xwhere X=n and · 1
● Tag side:DK, with D ! K n, n=1,2,3
● Signal side:Ds
* ! Ds (reconstructed in the recoilagainst DKX)
● In the Ds sample● Require 1 ● Use Ds ! e e
as background shape(expected Br factor ~105 smaller)
● Analysis technique:● full reconstruction
e+ e– ! Ds* D,0 K,0Xwhere X=n and · 1
● Tag side:DK, with D ! K n, n=1,2,3
● Signal side:Ds
* ! Ds (reconstructed in the recoilagainst DKX)
● In the Ds sample● Require 1 ● Use Ds ! e e
as background shape(expected Br factor ~105 smaller)
32100 § 1490 inclusive Ds decays
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Ds+ ! + Reconstruction Method
Lau
ran
z W
idh
alm
, H
EP
HY
Moriond QCD, March 9, 2008
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Charm DecaysTau Decays
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Ds+ ! , Comparison of Analyses
Belle• Efficiency depends strongly on
number of pions
• p*(D)>2.0 GeV/c• p*(Ds)>3.0 GeV/c• p*(K) < 2.0 GeV/c
Elab()>150 MeV• Mass-constrained vertex fit
for Ds* and Ds
Belle• Efficiency depends strongly on
number of pions
• p*(D)>2.0 GeV/c• p*(Ds)>3.0 GeV/c• p*(K) < 2.0 GeV/c
Elab()>150 MeV• Mass-constrained vertex fit
for Ds* and Ds
Babar● Efficiency cancels in partial
width ratio (Ds
+!+)/ (Ds+!+)
● p*(+ )>1.2 GeV/c● *>38o
● |p(Ds*+)| cut
● E*>115 MeV
● cos(,D)<0.9
● Emiss* cut
Babar● Efficiency cancels in partial
width ratio (Ds
+!+)/ (Ds+!+)
● p*(+ )>1.2 GeV/c● *>38o
● |p(Ds*+)| cut
● E*>115 MeV
● cos(,D)<0.9
● Emiss* cut
Moriond QCD, March 9, 2008
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Ds+ ! , Comparison of Backgrounds
Belle• MC studies show• Non-Ds decays ~18%• Leptonic decays ~7%
( ! )• Semileptonic Ds decays ~3.6%
with undetected low p hadrons• Hadronic Ds decays <2%
Belle• MC studies show• Non-Ds decays ~18%• Leptonic decays ~7%
( ! )• Semileptonic Ds decays ~3.6%
with undetected low p hadrons• Hadronic Ds decays <2%
Babar● e+ e– ! f anti-f
with no charmor incorrect tag ~42%
• Leptonic decays ~26%( ! )
• Pure leptonic D! or Ds! missing the signal chain~20%
• Other backgrounds• charged misidentified as
~1%• incorrectly chosen
candidate ~10%
Babar● e+ e– ! f anti-f
with no charmor incorrect tag ~42%
• Leptonic decays ~26%( ! )
• Pure leptonic D! or Ds! missing the signal chain~20%
• Other backgrounds• charged misidentified as
~1%• incorrectly chosen
candidate ~10%
Moriond QCD, March 9, 2008
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fD
● fD+=222.6§16.7 +2.8–3.4 MeV
CLEOfor 47§7 D+!+ eventsPhys. Rev. Lett. 95(2005)251801
● Lattice fD+=208§4 MeV
● fD+=222.6§16.7 +2.8–3.4 MeV
CLEOfor 47§7 D+!+ eventsPhys. Rev. Lett. 95(2005)251801
● Lattice fD+=208§4 MeV
Moriond QCD, March 9, 2008
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fB – Lattice QCD vs. Experiment
● BellePhys.Rev.Lett. 97 (2006)251802 hep-ex/0604018v3414 fb-1
● Br(B- ! – tau) = (1.79 +0.56
–0.49(stat) +0.46
–0.51(syst))*10–4
● This implies that fB = 0.229 +0.036
–0.031(stat) +0.034
–0.037(syst) GeV
● BellePhys.Rev.Lett. 97 (2006)251802 hep-ex/0604018v3414 fb-1
● Br(B- ! – tau) = (1.79 +0.56
–0.49(stat) +0.46
–0.51(syst))*10–4
● This implies that fB = 0.229 +0.036
–0.031(stat) +0.034
–0.037(syst) GeV
● The B meson decay constant from unquenched lattice QCDHPQCD CollaborationAlan Gray et al. Phys.Rev.Lett. 95(2005)212001hep-lat/0507015
● The B meson decay constant from unquenched lattice QCDHPQCD CollaborationAlan Gray et al. Phys.Rev.Lett. 95(2005)212001hep-lat/0507015
Moriond QCD, March 9, 2008
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Status of Charmed BaryonsR. MizukarXiv:0712.0310
Moriond QCD, March 9, 2008
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Charmed Baryon 5/2 States
● Rosner et al.hep-ph/0612332
● L ' 300 MeV
● Rosner et al.hep-ph/0612332
● L ' 300 MeV 2880!D0p
2940!D0p
3122307730552980
c(2880)+ ! c(2455)0,+++,−
5/2+
5/2-
Belle
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Possible transitions in c system
● hep-ph/0610283Chen and Chui
● L is orbital momentumof light quark
● hep-ph/0610283Chen and Chui
● L is orbital momentumof light quark
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D**
• assume heavy quark symmetrymcharm
• light quark couples to L first
• thenL=1 states are 2 doublets
jq=1/2broad (decay by S wave)
jq=3/2narrow (decay by D wave)
• assume heavy quark symmetrymcharm
• light quark couples to L first
• thenL=1 states are 2 doublets
jq=1/2broad (decay by S wave)
jq=3/2narrow (decay by D wave)
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D**
• BELLE observes the two broad D** (jq=1/2) L=1 statesPhys. Rev. D69(2004)11200265.4 Mill. BB
• mass widthD*0(J=0) 2308171528 MeV 276211860 MeV D´1(J=1) 2427262015 MeV 384+107
-752470 MeV
• BELLE observes the two broad D** (jq=1/2) L=1 statesPhys. Rev. D69(2004)11200265.4 Mill. BB
• mass widthD*0(J=0) 2308171528 MeV 276211860 MeV D´1(J=1) 2427262015 MeV 384+107
-752470 MeV
D2* can decay to D and D*
D+K+
D*+Do+
DoK+
DoK++
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Confirmation of new DsJ States
• BELLE confirmed bothand observed DsJ
+(2460)Ds+ Phys. Rev. Lett. 92(2004)012002
• seen in both production mechanisms• e+ecc• B decay > important for determination of quantum number
• BELLE confirmed bothand observed DsJ
+(2460)Ds+ Phys. Rev. Lett. 92(2004)012002
• seen in both production mechanisms• e+ecc• B decay > important for determination of quantum number
not Ds* !
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DsJ quantum numbers
• observation in B decays enables helicity analysis (fixed initial state)
• observation in B decays enables helicity analysis (fixed initial state)
JP=0+
JP=1-
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Compare D and Ds systems
• should be similar (except smaller mass splitting jq=1/23/2 due to s quark mass)
• why are the Ds jq=1/2 states narrow (and the D states broad) ?isospin violation (from I=0 to I=1)
• but measured DsJ masses >100 MeV lower than potential model
• should be similar (except smaller mass splitting jq=1/23/2 due to s quark mass)
• why are the Ds jq=1/2 states narrow (and the D states broad) ?isospin violation (from I=0 to I=1)
• but measured DsJ masses >100 MeV lower than potential model
Theory
Experiment
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Mixing for Ds12460 from CLEO
● Exp. knowledge on the mixing: • from BF’s ratio of Ds1(2460) radiative decays:
D*sγ/Dsγ=0.31±0.14
• switch from |jq> to |2S+1LJ > basis • tan2(θ+θ0)=0.8±0.4 where tan2θ0=2 (no-mixing case)
● Exp. knowledge on the mixing: • from BF’s ratio of Ds1(2460) radiative decays:
D*sγ/Dsγ=0.31±0.14
• switch from |jq> to |2S+1LJ > basis • tan2(θ+θ0)=0.8±0.4 where tan2θ0=2 (no-mixing case)
θ θ0
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c Fragmentation
● 1st indication of different fragmentation of charmed mesons (cq) and charmed baryons (cqq)
● BabarPRD 75, 012003 (2007)9.5 fb-1 off-resonance
● BellePhys. Rev. D73(2006) 03200215 fb-1 off-resonance
● 1st indication of different fragmentation of charmed mesons (cq) and charmed baryons (cqq)
● BabarPRD 75, 012003 (2007)9.5 fb-1 off-resonance
● BellePhys. Rev. D73(2006) 03200215 fb-1 off-resonance
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Brief History of Ds and DsJ
● Ds(1968), CLEO, 1983● Ds*(2112), Mark3, 1987● Ds*(2536), ARGUS, 1989
(even before indication in N)● DsJ
+(2317) ! Ds
+ 0 Babar 03, 91 fb–1
Phys.Rev.Lett.90(2003)242001continuum
● DsJ+(2463)
! Ds*(2112) 0
CLEO 03,Phys.Rev. D68(2003)032002continuum 13.5 fb only
● Ds(1968), CLEO, 1983● Ds*(2112), Mark3, 1987● Ds*(2536), ARGUS, 1989
(even before indication in N)● DsJ
+(2317) ! Ds
+ 0 Babar 03, 91 fb–1
Phys.Rev.Lett.90(2003)242001continuum
● DsJ+(2463)
! Ds*(2112) 0
CLEO 03,Phys.Rev. D68(2003)032002continuum 13.5 fb only
● BABARPhys.Rev.D69:031101,2004DsJ(2463) ! Ds 0
● BellePhys.Rev.Lett. 91(2003)262002in B decays! helicity study
● Belle 86.9 fbDsJ(2463)+ ! Ds+ ! Ds
+ + -(OZI suppressed)Phys.Rev.Lett. 92(2004)012002
● BABARPhys.Rev.D69:031101,2004DsJ(2463) ! Ds 0
● BellePhys.Rev.Lett. 91(2003)262002in B decays! helicity study
● Belle 86.9 fbDsJ(2463)+ ! Ds+ ! Ds
+ + -(OZI suppressed)Phys.Rev.Lett. 92(2004)012002
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Partial Wave Analysis of Partial Wave Analysis of DDs1s1(2536)(2536)→→D*D*++KK00s s (resonant)
hep-ex/0709.4184 PRD 77(2008)032001
● Prediction for 1+ state in the helicity formalism● ρ helicity density matrix
angles , , ρ00 longitudinal polarization z=√RΛ exp(iξ)=A10/A00
A10=(S+D/√2)/√3 A00=(S-√2D)/√3) D/S= √2(z-1)/(1+2z)
● Prediction for 1+ state in the helicity formalism● ρ helicity density matrix
angles , , ρ00 longitudinal polarization z=√RΛ exp(iξ)=A10/A00
A10=(S+D/√2)/√3 A00=(S-√2D)/√3) D/S= √2(z-1)/(1+2z)
Ds1(2536)DsJ(2700)Ds ! Charmed Baryons c
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Fit to angular distribution of Fit to angular distribution of DDs1s1(2536)(2536)→→D*D*++KK00ss
● fbck: background fraction in M(D*+Ks) signal region: ~9%● ε(α,β,γ)/<ε> → efficiency correction
● fbck: background fraction in M(D*+Ks) signal region: ~9%● ε(α,β,γ)/<ε> → efficiency correction
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● b →ccs tree process, i.e. cs→D0K+ and cc→D0D0 final states● Signal identification ΔE=EB-Ebeam
cms energy difference Mbc= √(E2
beam-p2B)
beam-constrained mass● S=399±40 for 449MBB events● Dalitz plot different
from 3-body phasespace
● b →ccs tree process, i.e. cs→D0K+ and cc→D0D0 final states● Signal identification ΔE=EB-Ebeam
cms energy difference Mbc= √(E2
beam-p2B)
beam-constrained mass● S=399±40 for 449MBB events● Dalitz plot different
from 3-body phasespace
New DNew DsJsJ meson in meson in BB++→→DD00DD00KK++
ΔΔEE MMbcbc
hep-ex/0707.3491 hep-ex/0707.3491
(submitted to PRL)(submitted to PRL)
(4160)(3770)
new DsJ
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Chiral effective theory with heavy quark symmetry
● Matsuki, Morii, SudohPhys.Lett. B659(2008)593, arXiv:0710.0325
● influenced by earlier work Bardeen et al., Phys.Rev. D68(2003)054024
● k: quantum number of spinor operator● might explain lower masses DsJ(2317) and DsJ(2460)
● Matsuki, Morii, SudohPhys.Lett. B659(2008)593, arXiv:0710.0325
● influenced by earlier work Bardeen et al., Phys.Rev. D68(2003)054024
● k: quantum number of spinor operator● might explain lower masses DsJ(2317) and DsJ(2460)
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Mixing in the D system
● D1’-D1 mixing angle measured from B→D*ππ Dalitz plotBelle Phys. Rev. D69(2004)11200259 fb-1
● Mixing angle between axialvector 1+ states D1’ and D1
=(-0.10±0.03±0.02±0.02 rad)
● Note: here one broad and and narrow state(in Ds system both 1+ states are narrow)
● D1’-D1 mixing angle measured from B→D*ππ Dalitz plotBelle Phys. Rev. D69(2004)11200259 fb-1
● Mixing angle between axialvector 1+ states D1’ and D1
=(-0.10±0.03±0.02±0.02 rad)
● Note: here one broad and and narrow state(in Ds system both 1+ states are narrow)
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Mass splitting of c* states (u vs. d quark)
Belle, hep-ex/0802.3968, subm. to Phys. Lett. BBelle, hep-ex/0802.3968, subm. to Phys. Lett. B
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HOWTO measured an absolute Ds Br ?
● Example e+e- ! Ds*+ Ds1–, hep-ex/0701053
with Ds1– ! anti-D* K
● 2 tags● Tag #1: full reco of Ds1
– and from Ds* ! Ds= proportional to yield of reconstructed anti-D* modes
● Tag #2: full reco of Ds*+ through only (Ds*+ ! Ds+ )and observation of K from Ds1 ! anti-D* Kproportional to Br of Ds+
● Efficiency corrected ratio of the 2 measured signal yields= ratio of well known anti-D* Br and the searched-for Br of Ds+
● For efficiency: MC
● Example e+e- ! Ds*+ Ds1–, hep-ex/0701053
with Ds1– ! anti-D* K
● 2 tags● Tag #1: full reco of Ds1
– and from Ds* ! Ds= proportional to yield of reconstructed anti-D* modes
● Tag #2: full reco of Ds*+ through only (Ds*+ ! Ds+ )and observation of K from Ds1 ! anti-D* Kproportional to Br of Ds+
● Efficiency corrected ratio of the 2 measured signal yields= ratio of well known anti-D* Br and the searched-for Br of Ds+
● For efficiency: MC
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DsJ Spectroscopy
E. Prencipe, MENU2007