inclusive production at y(1s) sheldon stone jianchun wang syracuse university cleo meeting 09/13/02
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09/13/02 Jianchun (JC) Wang 2
Motivation
B (B X) measurements with P > 2 GeV, where background from bc processes are suppressed:
CLEO: PRL 81,1786(1998),
BaBar:
A majority of events lie at large recoil mass (M>1.8 GeV) .
Atwood & Soni proposed that the large yield is associated with the gluonic content of the via the sub-process bs(gg). The form factor remains constant up to q2 mb
2 (momentum transfer of g ). This explains the large recoil mass and large yield ( B ~ 810).
40.01.5(6.2 1.6 1.3 ) 10
40.7 0.0
1.0 0.5(6.8 1.0 ) 10
09/13/02 Jianchun (JC) Wang 3
Motivation Hou and Tseng suggest that s be running and evaluated at
the scale of momentum transfer through the gg vertex, which introduces a mild logarithmic suppression (slowly falling):
The pQCD predicts that the leading form factor contribution falls like 1/q2 (by Kagan & Petrov). The form factor can be parameterized as (pQCD):
KP also construct a purely phenomenological form factor for comparison (intermediate):
2'
52 2 20 ' 3( ) 10,H q H m q m B
2 2 42( ) 1 , 2.2 , 4.4 10BH q q M M GeV
42 2 2'( ) ( ) / 6.8 10( ), .s sH q q m B
09/13/02 Jianchun (JC) Wang 4
Motivation
Y(1S) gg(gg): large overlap on the region of q2 relevant for fast production with that in bs(gg).
A. Kagan: “ the spectrum in Y(1S) decay could potentially constrain the gg form factor, and at the same time tell us if the sub-process bs(gg) can account for the yield in B decay”.
ARGUS measurement (w/o continuum subtraction) extracted by Kagan to be: nZ>0.7 < (6.51.3)10.
Model prediction:
0.7
41
1
13
theory
argus z
slowly fallingn
pQCDn
intermediate
09/13/02 Jianchun (JC) Wang 5
Reconstruction of
Photon: E > 30 MeV | cos | < 0.707 E9/E25 Not fragment Angcrt > 20
: (Mass constraint) Multi-bump cut Mass cut: –3.0 to 3.0
Track: TNG approval Good primary track Impact point (0.005,0.03 for
p>0.25, 0.01,0.05 for p<0.25) 3 dE/dX consistence
: For Z<0.5, veto on
photons
(B =44.3%) B =39.3%)
Z = E/Ebeam
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The Invariant Mass Spectraa) Y(1S) data (~80 pb) : 1S13 ( 1.862106 Y(1S) )
b) Continuum data (~1200 pb): 4S27, EG
a) b)
N = 1486137 N = 4062174
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Signal Sources
The sources of production in 1S data: qq X: ~ 4 nb
2) Y(1S) qq X: ~ 2 nb
3) Y(1S) ggg X: ~ 18 nb
4) Y(1S) gg X: ~ 0.5 nb
Use qq and ggg generator respectively
The gg is treated as ggg throughout the study
09/13/02 Jianchun (JC) Wang 9
Breakdown of Signal Events
(1 ) (1 ) *
(1 ) (1 ) * ,10.52 * * ,10.52
all S ggg S qq qq
S ggg S qq qq qq qq
N N N N
N f N f N
Number of Signal before efficiency correction
*
29.46 9.46
210.52 10.52
( ) ( ) ( ' ) ( )
80.4 1/ 9.460.9356 0.0780
1192.9 1/10.52
qq QCDf f luminosity f f production f efficiency
(1 ) 9.46(1 ) *
10.52*
0.0387SS qq qq
Rf f
R
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Z Mapping for Continuum DataFor continuum data, Z= E/Ebeam is not good, it needs remapping
Simple one: Linear with Zmin(10.52) Zmin(9.46), 11
Sophisticated one:10.52 9.46' '
10.52 9.460 0( ) ( )
Z Zp z dz p z dz
0.202
0.182
P4 fit
09/13/02 Jianchun (JC) Wang 11
Reconstruction Efficiency
Event shape is more spherical in 3g event: 3g/qq,9.46 ~ 1.15
Event is more jetty at 10.52 GeV: qq,10.52/qq,9.46 ~ 0.93
Beam energy also affects production: nqq,10.52/nqq,9.46 ~ 1.07
No veto With veto
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Y(1S) data ° veto applied for Z < 0.5. Mass fixed to average over all Z. Width determined from MC.
09/13/02 Jianchun (JC) Wang 13
Off-resonance data ° veto applied for Z < 0.5. Mass fixed to average over all Z. Width determined from MC.
09/13/02 Jianchun (JC) Wang 14
Breakdown of Signal Events
The total number is the sum of small Z bins. Z-dependent reconstruction efficiency used.
24.5 8.11145 120 Y(1S) ggg,qq
21.5 1.4349 11 Continuum qq
10.6 0.7173 5 Y(1S) qq
13.9 8.1972 120 Y(1S) ggg
257.1 17.34294 130 Off-resonance
46.0 8.11494 120 Y(1S) data
Z > 0.7All Z Sample
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Branching RatioInclusive branching fraction for All Z:
Inclusive branching fraction for Z > 0.7:
At 90% C.L. the upper limit of B (Y(1S)(ggg) X) / B(Y(1S)(ggg)) for Z > 0.7 is 3.4
B (Y(1S)X)
B (Y(1S)(ggg) X) / B(Y(1S)(ggg))
B (Y(1S)(qq)X) / B(Y(1S)(qq))
B (Y(1S)X)
B (Y(1S)(ggg) X) / B(Y(1S)(ggg))
B (Y(1S)(qq)X) / B(Y(1S)(qq))
09/13/02 Jianchun (JC) Wang 16
Systematic Errors
Total systematic error
Z mapping
Y(1S)
Ratio of integrated luminosity
B (Y(1S)qq)
B
Total number of Y(1S)
Number of from fit
Reconstruction efficiency of
Reconstruction efficiency of
All othersqq Sampleggg Sample (Z>0.7)
Sources
09/13/02 Jianchun (JC) Wang 17
The Differential Branching Fraction
Systematic errors are not shown ( ~ 10%).
Detailed study on excess at 0.6<Z<0.7 reveals no narrow structure (corresponding to 5.3 < Mrecoil < 6.1 GeV ). There could be more than one processes.
(1 ) ( ) '
(1 ) ( )
d S ggg X
dZ S ggg
B
B
(1 ) ( ) '
(1 ) ( )
d S qq X
dZ S qq
B
B (1 ) 'd S X
dZ
B
?!
09/13/02 Jianchun (JC) Wang 18
Comparison with Theoretical Predictions
The measured dn/dZ spectrum of Y(1S)(ggg) X.
Theoretical predictions with
a) A slowly falling form factor.
b) A rapidly falling form factor.
c) An intermediate form factor.
The measurement favors rapidly falling q2 dependence of the g*g form factor predicted by pQCD.
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Summary
We measured the inclusive production rate from Y(1S) data and ggg, qq samples.
Small B (Y(1S)X) at high energy strongly favors rapidly falling q2 dependence of the gg form factor predicted by pQCD.
CBX 02-09 ready for comment.
09/13/02 Jianchun (JC) Wang 23
Cross-section and Branching Fraction Sources:
1. PRD39, 3528 (1989), CLEO (muonic branching fractions at 1S and 3S). ((1S) 1.12 nb (by QED) (Y(1S) (0.5550.022) nb (Y(1S)hadrons (20.390.04) nb Br(Y(1S)0.07 0.07)%
2. PRD57, 1350 (1998), CLEO (hadron cross section at 10.52 GeV). R 3.560.01 0.07
3. PRD55, 5273(1997), CLEO (direct photon spectrum at 1S). (Y(1S)gg )/ (Y(1S)ggg) (2.75 0.04 0.15)%
4. RPP2000. Br (Y(1S))% Br (Y(1S)ee0.11)% Br (Y(1S)0.06)%
Calculation here qq) (1.123.56) (3.990.08) nb (Y(1S)qq) (0.5553.56) (1.980.09) nb 3) Br(Y(1S)qq) (2.483.56) (8.830.28)% (Y(1S)ggg/) (20.391.98) (18.410.09) nb5) Br(Y(1S)ggg/ (Y(1S)ggg) (17.920.09) nb (Y(1S)gg( 0.490.03) nb