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A Feasibility Study for a A Feasibility Study for a Strange Sea Asymmetry Strange Sea Asymmetry
Analysis at ATLASAnalysis at ATLAS
Laura Gilbert and Jeff Tseng 24/09/07
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OUTLINE
1)1) Background and motivation: quark Background and motivation: quark asymmetries in the protonasymmetries in the proton
2)2) Detecting a strange sea asymmetryDetecting a strange sea asymmetry
3)3) Analysis technique: W+D* Analysis technique: W+D* Selection Selection
4)4) Electroweak Backgrounds: resultsElectroweak Backgrounds: results
5)5) Discussion of other backgroundsDiscussion of other backgrounds
6)6) Notes on missing pT Notes on missing pT
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10-2
10-1
100
0.00
0.25
0.50
0.75
1.00
1.25
1.50
1.75
2.00
MRST2001
Q2 = 10 GeV2
ant
idow
n / a
ntiu
p
x
Motivation: Quark Asymmetries in the
Proton u, d distributions in the proton predicted to be
almost flavour symmetric within pQCD. MNC measured the flavour nonsinglet structure
function [Fp2(x,Q2) − Fn
2(x,Q2)]. → large (~30%) violation of Gottfried sum rule:
0))()((1
0
dxxuxd
d/u Confirmed by the NA51, E866 and HERMES.
Various theoretical models proposed. Meson Cloud model (MCM) seems physically intuitive as a way to explain observations.
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Motivation: Quark Asymmetries in the Proton
In the MCM the proton oscillates into virtual mesons/baryons
Sea q/q are in different environments thus carry different momenta.
Symmetric s/s distribution often assumed, but not established theoretically or experimentally.
MCM would imply a strange momentum fraction asymmetry too.
0))()((1
0
dxxsxsx
du
u qq
du
uoscillate
sq
du
u q
x(s(x) - s(x))
Ws at LHC sensitive to small x regime (<0.01). Difficult to
probe.
Phys.Lett. B590 (2004) 216-222: Ding & Ma
Calculations from Meson Cloud Model – 2-body wavefunctions [Gaussian (thick) and power-law (thin)]
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Detecting a strange sea asymmetry in the proton
Feynman diagram sensitive to strange quark distribution needed. Use s+g→c+W, ie. NLO W production.
This mechanism is charge symmetric if the strange/anti-strange distributions are the same.
General W production at LHC already shows charge asymmetry in rapidity distributions of W.
Need to remove this bias and then look for limits on null hypothesis of signal channel.
s
c
W
g
s
g
W
c
cg
Ws
NLO Gluon production:10% of total
s
c
W
NLO W production
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D*D* + W Search: Technique
Select W candidate Reconstruct D0→K-π+ D0 vertex displaced. Add prompt (soft) pion. Consider 3 sign correlations: Consider 3 sign correlations:
(K(K-- with with ππ++, K, K-- with with ππBB++, , ππBB
+ + with ewith e--)) Plot reconstructed D*-D0 mass Plot reconstructed D*-D0 mass
difference = 145.4MeVdifference = 145.4MeV(small intrinsic (small intrinsic resolutions: D* width 96keV, D0 width resolutions: D* width 96keV, D0 width 1.6meV , small background)1.6meV , small background)
Consider backgrounds inc. Cabibbo suppressed wrong sign combinations
s
g
W
c
cg
Ws
Branching ratios: D*+→D0π+ 67.7%
D0 → K- π+ 3.8%c→D* 25.5%c→e 9.6%
cWgscWsg
cWgscWsg
NN
NNA
Asymmetry: Plot as a function of
rapidity. Should find zero asymmetry in Monte-Carlo from accepted PDFs. Work out confidence limits on null hypothesis
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W+D* SelectionW+D* Selection Sample of 3 million of each WSample of 3 million of each W++,W,W--→e→eνν
generated with MC@NLO, passed through generated with MC@NLO, passed through HERWIG and ATLFAST (software release HERWIG and ATLFAST (software release 12.0.6)12.0.6)
Preliminary Cuts:Preliminary Cuts: 1 electron with pT>25GeV, |1 electron with pT>25GeV, |ηη|<2.4|<2.4 MET>25GeVMET>25GeV Two oppositely signed tracks: assign one K, one Two oppositely signed tracks: assign one K, one ππ. . pT(K)>1.5GeV, pT(pT(K)>1.5GeV, pT(ππ)>1GeV)>1GeV Third track: assign bachelor Third track: assign bachelor ππBB, pT(, pT(ππBB)>0.5GeV)>0.5GeV ππB B charge opposite to e, opposite to Kcharge opposite to e, opposite to K
Further cuts indicated by sFurther cuts indicated by s22/(s+b) optimisation /(s+b) optimisation – compare efficiency of selecting “true” signal – compare efficiency of selecting “true” signal D*s with backgrounds of the same sign D*s with backgrounds of the same sign correlations.correlations.
W selection
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W+D* SelectionW+D* Selection
Optimised Cuts:Optimised Cuts: m(D0reco)- m(D0true)< 40MeVm(D0reco)- m(D0true)< 40MeV
Real D*s Full sample
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W+D* SelectionW+D* Selection
Optimised Cuts:Optimised Cuts: m(D0reco)- m(D0true)< 40MeVm(D0reco)- m(D0true)< 40MeV Signed Lxy > 0.35mmSigned Lxy > 0.35mm
D0
D0 cτ=123μm K
πLxy
(Lxy –ve is tracks point towards vertex)
Reconstruct vertex: straight line approx
Real D*s Full sample
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W+D* SelectionW+D* Selection
Optimised Cuts:Optimised Cuts: m(D0reco)- m(D0true)< m(D0reco)- m(D0true)<
40MeV40MeV Signed Lxy > 0.35mmSigned Lxy > 0.35mm D0 impact parameter D0 impact parameter
significance d0/significance d0/σσ(d0)<3(d0)<3D* lifetime < 10-20s
Therefore batchelor π should be prompt: sanity cut at 3 σ
Real D*s Full sample
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W+D* SelectionW+D* Selection
Real D*s Full sample
Optimised Cuts:Optimised Cuts: m(D0reco)- m(D0true)< m(D0reco)- m(D0true)<
40MeV40MeV Signed Lxy > 0.35mmSigned Lxy > 0.35mm ππBB impact parameter impact parameter
significance d0/significance d0/σσ(d0)<3(d0)<3 d0(K)*d0(d0(K)*d0(ππ)<0mm)<0mm22
Impact parameter is signed according to which side of the vertex it passes.
Therefore K, π have oppositely signed impact parameters.
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W+D* SelectionW+D* Selection
Real D*s Full sample
Optimised Cuts:Optimised Cuts: m(D0reco)- m(D0true)< m(D0reco)- m(D0true)<
40MeV40MeV Signed Lxy > 0.35mmSigned Lxy > 0.35mm ππBB impact parameter impact parameter
significance d0/significance d0/σσ(d0)<3(d0)<3 d0(K)*d0(d0(K)*d0(ππ)<0mm)<0mm22
D0 impact parameter D0 impact parameter <0.2mm<0.2mm
D* lifetime < 10-20s, therefore D0 impact parameter should be small
Cut is not very effective, probably redundant with previous cut.
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W+D* SelectionW+D* Selection
Optimised Cuts:Optimised Cuts: m(D0reco)- m(D0true)< m(D0reco)- m(D0true)<
40MeV40MeV Signed Lxy > 0.35mmSigned Lxy > 0.35mm ππBB impact parameter impact parameter
significance d0/significance d0/σσ(d0)<3(d0)<3 d0(K)*d0(d0(K)*d0(ππ)<0mm)<0mm22
D0 impact parameter D0 impact parameter <0.2mm<0.2mm
D* pT>6GeV, |D* pT>6GeV, |ηη|<2.5|<2.5
Real D*s Full sample
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Signal sample: ResultsSignal sample: Results
(NB. 90% of real passing D*s have pT > 8GeV. Relevant later…)
No. signal events =86±22No “real” D*s in window = 76No. W- events = 45 ±14No “real” D*s = 40
No. W+ events = 41 ±13No “real” D*s = 36
Reconstructed Unsmeared Real D*s
NB. Just two of the passing events come from gluon splitting:s
c
W
g cc
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W→eW→eνν estimation using Comphep: estimation using Comphep:q
g
W-
cq
νe
e-
Comphep: cross sections without cuts qg→W-c ≈ 10900pb, qg→W+c ≈
10250pb Which implies:
σ (qg→e-νe Kππ) ≈ 0.823pb
σ (qg→e+νe Kππ) ≈ 0.773pb
Comphep: Applying cuts pT(e)>25GeV |η(e)|<2.5 pT(c)>8GeV |y(c)|<2.5 pT(νe) >25GeV
Bσ(W-,cuts)=0.136pb Bσ(W+,cuts)=0.132pb (ie. 17% of signal events pass these cuts)
q No. W- signal events / fb-1
No. W+
signal events / fb-1
sum 136 132
d 13 9
s 123 123
b 0.1 0.1
Inherent 1.5% asymmetry
NB: around 30% of these numbers pass real selection
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QED BackgroundsQED Backgrounds W→W→τντν: Additional signal: Additional signal ZZ→ee→ee ZZ→→ττττ WWWW WZ WZ ZZZZ
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Signal: Signal: W→W→τντνs
g
W-
cs
W-
ντ
τ-
ντ
νe
e-
Comphep: cross sections without cuts qg→W-c ≈ 10900pb qg→τ-ντ c ≈ 1140pb
B(W→τ-ντ)=10.74%
Implies qg→ e-νeντ ντ c ≈ 200pb
B(τ- → e- νe ντ)=17.84% Mc@NLO with ATLFAST: 3 million of each W-,
W+. 0.9 W+ events and 2.0 W- events pass cuts, ie. ~3
total, <~8 at 95%CL.
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Background: Background: Z→eeZ→ee
MC@NLO with ATLFAST: (2 million events: Lepton Filter applied so one electron required pT(e)>10GeV, |η(e)|<2.7 ) Without MpT>25GeV cut 18 events pass per fb-1 (allow more
than one electron) With MpT>25GeV cut 0 events pass per fb-1. Would we lose more electrons in full simulation?
Comphep: Cuts: σ(cg→e-e+c) = 31.9pb
pT(e-)>25GeV, pT(e+)>25GeV |η(e-)|<2.5 AND/OR |η(e+)|<2.5 |y(c)|<2.5 pT(c)>8GeV
< 22 events/fb-1 (inc BRs)
c
gZ
c
c
e-
e+
Lost→MET
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Comphep: cross sections without cuts σ(cg→Zc) ≈ 2000pb σ(cg→τ-τ+ c) ≈ 60pb
B(Z→ τ-τ+ )=3.37%
Therefore σ(cg→ e+νeντ τ- c )≈ 11pb
B(τ- → e- νe ντ)=17.84%
Background: Background: Z→Z→ττττ
ZZ→→ττττ certainly negligible when certainly negligible when compared with compared with ZZ→ee results.→ee results.
c
g Z
c
c
τ+
τ-
W+
ντ
νe
e+
Lost→MET
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Backgrounds: Backgrounds: WW, WZ, ZZWW, WZ, ZZTotal
HERWIG xsect σ (pb)
Branching Ratio B
fractional cross
section σxB(pb)
No. events
/fb-1
WW 70 2(W→eν,W→cXc→Kππ)
=5.04x10-5
3.5x10-3 3.5
WZ 27 (W→eν, Z→cc) +(W→cX, Z→ee)
c→Kππ=1.68x10-5
4.5x10-4 0.45
ZZ 11 2(Z→ee, Z→cc, c→Kππ)
=5.56x10-6
6.1x10-5 0.061
W→eν=10.72%W→cX=33.6%Z→ee=3.36%Z→cc=11.81%c→Kππ=0.07%
These sum to <4 event /fb-1 (~5% of signal) with *no cuts* applied
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Signal and Electroweak Signal and Electroweak Backgrounds: SummaryBackgrounds: Summary
W→eW→eνν: Signal: 84: Signal: 84±22±22 events/fb events/fb-1-1
W→W→τντν: Signal: <8 events/fb: Signal: <8 events/fb-1-1 (95% CL) (95% CL) ZZ→ee: < 3 events/fb→ee: < 3 events/fb-1-1 pass cuts 95% CL pass cuts 95% CL ZZ→→ττττ: << 1 : << 1 event /fb-1 likely WW: WW: <1 event /fb-1 WZ: WZ: <<1 event /fb-1 ZZ: ZZ: <<1 event /fb-1
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QCD and other backgroundsQCD and other backgrounds QCD backgrounds:
D* + fake W: Sample 5802 dijet + fake electron (W, Z, t, γ). σ=191μb
bb: MC@NLO tt: MC@NLO cc: Pythia? Not available at NLO W + cc (bb), Z + cc (bb): in current samples, mainly
removed by ET cuts. <8 events/fb<8 events/fb-1-1 (95% CL) (95% CL) Should consider pileup and missing jets Should consider pileup and missing jets
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Notes on Missing pTNotes on Missing pT At LO the W is produced with momentum along the direction
of the beampipe Electron and neutrino from W decay produced back-to-back in
transverse plane Resolve MpT along the direction of travel of the electron:
perpendicular to line of flight of electron we expect MpT perp = 0 at generator level.
Including detector smearing this results in a sharp Gaussian. At NLO W is produced at any angle so electron and neutrino
tend to be approximately back to back, but angle is no longer 180 degrees at generator level
The NLO distribution will be much wider so this could be useful to select NLO diagrams.
Probable LO contribution
Probable NLO contribution
Plot from DC3 sample 005250 (MC@NLO), v 11.0.42
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Notes on Missing pTNotes on Missing pT
Can consider MET parallel as well as perpendicular to lepton line of flight.
Missing pT parallel to electron line of flight + electron pT = 0 at LO (gen level).
Parallel case is less well resolved in full simulation than perpendicular, also mean displaced from 0 since the electron calorimeter corrections are not perfectly tuned.
In signal we expect W with relatively low pT (e, missing energy ~back to back) which may not be true in QCD backgrounds so revisit later.
Probable LO contribution
Probable NLO contribution
Plots from DC3 sample 005250 (MC@NLO), v 11.0.42
Reconstructed GEANT truth
This cut is not useful for event selection in the signal sample
No improvement if calculated as the first cut, or if the MET >25GeV cut is entirely removed
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Final Thoughts Signal selection looking promising compared
to EW backgrounds QCD backgrounds likely to be more
significant but we have further rejection possibilities to work with (MET, stronger electron isolation criteria – currently using ATLFAST default)
Back-of-envelope: to exclude null hypothesis Back-of-envelope: to exclude null hypothesis to 95% CL at 1fbto 95% CL at 1fb-1 -1 (approx. 100 signal events (approx. 100 signal events passing) we need around 60% asymmetry passing) we need around 60% asymmetry (80:20).(80:20).
1fb-1 insufficient for convincing asymmetry calculations – probably need at least 100 fb-1.