17 August 2019, Hadron 2019, Guilin, China · Deshpande, He, WSH, Pakvasa, PRL’99 -...
Transcript of 17 August 2019, Hadron 2019, Guilin, China · Deshpande, He, WSH, Pakvasa, PRL’99 -...
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 1
Curious Link of Exclusive & Inclusive
CPV in Charmless 3-body B+ Decays
17 August 2019, Hadron 2019, Guilin, China
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 2
I. The Striking Plot, and a Curiosity
II. FSI: elastic vs inelastic
III. FSI: soft vs hard
IV. Unitarity/CPT at Quark Level: a 30-yr “Sum Rule”
V. Conclusion
Gérard and WSH, PRL’89PRD’91
Curious Link of Exclusive & Inclusive CPV in Charmless 3-body B+ Decays
‒ CPT and inelastic hadron scattering‒ a Critique
LHCb 1408.5373 (PRD)
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 3
I. The Striking Plot, and a Curiosity
CPV
(u,) c
Bander, Silverman, Soni, PRL’79
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 4
KKK Kππ
πππ πKK
• strikingly large CPV
• strong variations in DP
LHCb 1408.5373 (PRD)
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 5
KKK Kππ
πππ πKK
• strikingly large CPV
• strong variations in DP
KKK Kππ
πππ πKK
bins w/ same # evts
181k 109k
25k 6k
LHCb 1408.5373 (PRD)
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 6
KKK Kππ
πππ πKK
• strikingly large CPV
• strong variations in DPbins w/ same # evts
BR (10‒5) 5.1
3.4
1.5
0.5
0.3% (b → s)
1.1% (b → d)
a Curiosity + 2.7 ± 0.8% (PDG)
‒ 3.3 ± 0.8%
+ 5.7 ± 1.3%
‒12.2 ± 2.1%
LHCb 1408.5373 (PRD)
sub-percent
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 7
Gérard and WSH, PRD’91
181k
109k
25k
6k
s
d
Gérard and WSH, PRL’89
(u,) c
LHCb 1408.5373 (PRD)
BR (10‒5) 5.1
3.4
1.5
0.5
0.3% (b → s)
1.1% (b → d)
a Curiosity + 2.7 ± 0.8% (PDG)
‒ 3.3 ± 0.8%
+ 5.7 ± 1.3%
‒12.2 ± 2.1%
~ 0.12, 0.35
sub-percent
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 8
II. FSI: elastic vs inelastic
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 9
Observation of the Color-Suppressed Decay Belle, PRL’02
Experiment-driven take on Final State Interactions
“Spectator”
Color-suppressed
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 10
Observation of the Color-Suppressed Decay Belle, PRL’02
Experiment-driven take on Final State Interactions
“Spectator”
Color-suppressed
• Meson loops: how does it work when far off-shell?
• Went on to Inelastic, for sake of “charmless” (e.g. Kπ)
diagramatics is cherry-picking and arbitrary.
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 11
I’m not at all adverse to Final State Interactions
Belle, PRL’02
- “Prospects for direct CP violation in exclusive and inclusive charmless B decays”
He, WSH, Yang, PRL’98- “Electroweak Penguins, FSI Phases, and CP Violation in B → Kπ Decays”
Deshpande, He, WSH, Pakvasa, PRL’99
- “Possibility of Large Final State Interaction Phases in Light of B → Kπ, ππ Decays”
WSH, Yang, PRL’00
- “Indication for Large Rescatterings in Charmless Rare B Decays”
Chua, WSH, Yang, MPLA’03
Observation of the Color-Suppressed Decay
CLEO Era
2004: DCPV in B Observed !Belle*BaBar
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 12
III. FSI: soft vs hard
- CPT and inelastic hadron scattering- Some Critique
KKK Kππ
πππ πKK
• strikingly large CPV
• strong variations in DP
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 13
“All the inelasticity of the ππ interaction goes into the KK channel”?
Not Quite.
(1, 2.2) GeV2
Alberto dos Reis@ Hadron 2015
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 14
“All the inelasticity of the ππ interaction goes into the KK channel”?
Not Quite.
(1, 2.2) GeV2
KKnπ thresholds
n = 0, 1, 2, 3
“soft”
Alberto dos Reis@ Hadron 2015
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 15
“All the inelasticity of the ππ interaction goes into the KK channel”?(1, 2.2) GeV2
KKnπ thresholds
n = 0, 1, 2, 3
Not Quite.
“soft”
Alberto dos Reis@ Hadron 2015
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 16
“All the inelasticity of the ππ interaction goes into the KK channel”?(1, 2.2) GeV2
KKnπ thresholds
n = 0, 1, 2, 3
Not Quite.
stru
ctur
e
structure
“soft”
Alberto dos Reis@ Hadron 2015
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 17
structure
cc(bar)
“soft”:
hard : cc(bar) ‒ annihilate
hard: cc(bar) to qq(bar)
LHCb 1408.5373 (PRD)
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 18
IV. Unitarity/CPT at Quark Level
a 30-yr “Sum Rule”
Gérard and WSH, PRL’89PRD’91
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 19
Bander, Silverman, Soni, PRL’79
X
Unitarity/CPT at Quark Level
Gérard and WSH, PRD’91
needed
Gérard and WSH, PRL’89
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 20
Unitarity/CPT at Quark Level
Gérard and WSH, PRD’91
BSS
Pure-P DCPV CPT/Unitarity
BSS
BSS
w/ P-P CPV
w/ P-P CPV
inclusive b → s/d CPV should vanish for 2mc > mb
Purposed
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 21
a 30-yr “Sum Rule”
Gérard and WSH, PRL’89
s
d
Gérard and WSH, PRD’91
inclusive b → s/d CPV sub-%: 2mc threshold-suppress
[b → sgg absent]
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 22
Gérard and WSH, PRD’91
LHCb 1408.5373 (PRD)
0.3% (b → s)
1.1% (b → d)
a Curiosity + 2.7 ± 0.8% (PDG)
‒ 3.3 ± 0.8%
+ 5.7 ± 1.3%
‒12.2 ± 2.1%
s
d
~ 0.12, 0.35
s ud(bar) u(bar)d
s us(bar) u(bar)s
d ud(bar) u(bar)d
d us(bar) u(bar)s
Pure Penguin DCPV picked up by LHCb measurement
sub-percent
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 23
Gérard and WSH, PRD’91
s
d
~ 0.12, 0.35
Improving the Inclusive DCPV Theory
• Interested theorists can try (a bit muddied/complicated).
• Need to consider b → sg, known to be ~ 0.5% (b → sqq(bar) ~ 1%).
- But “on-shell” gluon does not give much absorptive parts, how to incorporate?
- In what part of “h’+h‒h+” Dalitz Plot does b → sg interfere with b → sqq(bar)?
Greub and Linniger, PLB’00, PRD’01
• Near cancellation guaranteed by the strength of absorptive part of Penguin.
Interesting to see experimental development and further affirmation.
WSH, NPB’88
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incl. DCPV George W.S. Hou (NTU) HADRON, Guilin 190817 24
V. Conclusion
• LHCb’14 Observation of B+ → h′+h‒h+ 3-body DCPV
• From “CP violation in inclusive and exclusive charmless B decays”
Gérard and WSH, PRD’91
- Large CPV, strongly varying across Darlitz Plot
- Inclusive CPV for B+ → K+h‒h+ and B+ → π+h‒h+ @ sub%
LHCb has affirmed 30-yr DCPV “Sum Rule”
and affirmed quark-hadron duality incharmless 3-body B+ decay CPV