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moments update
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Bulkcorr PWG meeting, June 26, 2013 1
update on moments & sampled singlesw.j.llope
bulkcorr PWG, June 26, 2014
Independent code that reads 4 TH2Ds (net-X, tot-X, X, Xbar) vs rmNcorr at all 7 √sNN… TH2Ds for X=p from xiaofeng luo (net-p paper),
X=p, q, K from daniel mcdonald (q and K at QM 2012)
produces:moments from data, & (N)BD and ``sampled singles” baselines
http://wjllope.rice.edu/fluct/protected/moments_20130417.pps
now calculating sampled singles uncertainties from delta theoremnow applying efficiency corrections to XFL’s net-p results
working towards efficiency corrections (including tof match eff!) for dmac’s results_________________________________________________________________________
Outlineoverview of (N)BD and sampled singles baseline approachesXFL net-p, with and without efficiency correctiondmac net-p, net-q, and net-K, then efficiency corrections to dmac net-q using nihar efficienciescomparison of dmac net-p and XFL net-p
moments update
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Bulkcorr PWG meeting, June 26, 2013 2
STAR Results (QM2012)
√sNN <mB>*
7.7 421
11.5 316
19.6 206
27 156
39 112
62.4 73
200 24 * C
leym
ans
et a
l. P
RC
73,
034
905
(200
6)
net-protonsX. Luo for STAR, QM2012
D. McDonald for STAR, QM2012
net-charge net-K
No non-monotonicity seen
Significance of net-p dip?
moments update
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Bulkcorr PWG meeting, June 26, 2013 3
(N)BD
T..J. Tarnosky & G. Westfall, Oct. 2012 http://arxiv.org/pdf/1210.8102v1.pdf
Functional form describes the (particle identified) multiplicity distributions ranging from NA22 & UA5 to PHENIX
Inputs:mean (μ) &variance (σ2)
Then, the values of Ck , Sσ , & Kσ2 are predicted.
moments update
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Bulkcorr PWG meeting, June 26, 2013 4
“Sampled Singles”
Sampled Singles is not “mixed events”
The only input is the 2D distributions of Npos vs. rmNcorr and Nneg vs. rmNcorr.where pos = p, K+, q+ and neg = pbar, K-, q-
same plots for K±, q±
Filled at the same spot in analysis codes where the deviates are saved……i.e. includes all the same track cuts, PID, and run&evtQA as the independentanalysis…
Np
N
pbar
7.7 11.5 19.6 27 39 62.4 200
refmultNcorr
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Bulkcorr PWG meeting, June 26, 2013 5
Sampled Singles method
In every slice of rmNcorr, sample one value of Npos and one value of Nneg, Nevt times.
In each sampled event at a given rmNcorr, one then has a value for Npos and NnegThen form Nnet = Npos-Nneg and Ntot = Npos+NnegFill 2D plots of Nnet and Ntot vs. refmultNcorrThen extract the moments (products) with the CBW corrections as usual…
Destroys all intra-event correlations between Npos and Nneg, reproduces singles distributions, & has the same statistical certainty as the data, by construction…
Np
N
pbar 7.7 11.5 19.6 27 39 62.4 200
refmultNcorr
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Bulkcorr PWG meeting, June 26, 2013 6
Sampled Singles method: Oversampling
Approach used up to a ~1 week ago sampled NEVT times for a given slice of refmultNcorr.
Was observed however that the resulting CBW-corrected moments products had a noticeable variance (lowest root-s generally) with the choice of TRandom3 seed…
This is not physical but canbe fixed easily with only expensebeing CPU time…
Now sample each slice (pos or neg)NREPEATS*NEVT times and fillresulting Nnet and Ntot TH1Ds witha weight of 1/NREPEATS
Same statistical uncertaintiesSame moments uncertainties (Δ thm.)Stable sampled singles results
will now show some plots forNREPEATS = 1,2,4,8,36,49,81
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Bulkcorr PWG meeting, June 26, 2013 7
Sampled Singles method: Oversampling
RMS of SampSing <Kσ2> values vs NREPEATS by root-s
RMS(<Kσ2>) decreases with increasing root-s, and with decreasing centrality at any NREPEATSIncreasing NREPEATS decreases RMS as a power law.. Values stable for NREPEATS ≥ ~36
0.1
0.01
0.001
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Bulkcorr PWG meeting, June 26, 2013 8
Sampled Singles method: Oversampling
SampSing err(<Kσ2>) vs NREPEATS by root-s
0.1
0.01
0.001
0.0001
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Bulkcorr PWG meeting, June 26, 2013 9
Sampled Singles method: Oversampling
Delta theorem’s Kσ2 uncertainty for many runs with NREPEATS=1
Average value of Δ-thmuncertainty exactly reproduces that from dataeven for NREPEATS=1
But there is some variance.largest at lowest root-s.
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Bulkcorr PWG meeting, June 26, 2013 10
Sampled Singles method: Oversampling
Delta theorem’s Kσ2 uncertainty for many runs with NREPEATS=36
Average value of Δ-thmuncertainty still reproduces that from data
Variance in SampSinguncertainty now tiny.
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Bulkcorr PWG meeting, June 26, 2013 11
Sampled Singles / Data comparisons
Oversampling makes the sampled singles results much more stable.Code now takes an hour to run on my laptop, not ~3 minutes as
before…
Now turn to comparisons to Xiaofeng’s net-p results (net-p paper).
Efficiency corrections performed to both data and sampled singles.Efficiencies are charge-independent and are taken from the analysis
note. Note eff(39) = eff(62) = eff(200) was assumed
Corrected cumulants depend on Ck(net), Ck(tot), Ck(pos), Ck(neg), Npos, & Nneg
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Bulkcorr PWG meeting, June 26, 2013 12
Uncorrected net-p Sσ vs. centrality by root-s
cyan bands are sampled singlesuncertainties from delta theorem
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Bulkcorr PWG meeting, June 26, 2013 13
Uncorrected net-p Kσ2 vs. centrality by root-s
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Bulkcorr PWG meeting, June 26, 2013 14
Uncorrected net-p Sσ & Kσ2 vs. root-s for 0-5%
very good agreement to Xiaofeng’suncorrected results in general, except 200(some v. slight differences at lowest root-s)
Sampled Singles reproduces the data values…(N)BD also does a good job for net-p…
Note:TH2Ds from Xiaofengat 200GeV include 40Mevents, plots in net-p paperhave 240M events.
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Bulkcorr PWG meeting, June 26, 2013 15
Now, perform the efficiency corrections…
Sσ vs centrality by root-s
Kσ2 vs centrality by root-s7.7 11.5 19.6 27 39 62.4 200
open: uncorrectedsolid: corrected
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Bulkcorr PWG meeting, June 26, 2013 16
Efficiency-corrected Sσ & Kσ2 with the Sampled Singles values
Sσ vs centrality by root-s
Kσ2 vs centrality by root-s7.7 11.5 19.6 27 39 62.4 200
measured(WJL)measured(XFL)sampled singles
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Bulkcorr PWG meeting, June 26, 2013 17
Efficiency-corrected Sσ & Kσ2 with the Sampled Singles values
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Bulkcorr PWG meeting, June 26, 2013 18
Now…
switch over from XFL net-p data to
dmac net-p,net-q,net-K data
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Bulkcorr PWG meeting, June 26, 2013 19
Uncorrected dmac net-p Sσ vs. centrality by root-s
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Bulkcorr PWG meeting, June 26, 2013 20
Uncorrected dmac net-p Kσ2 vs. centrality by root-s
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Bulkcorr PWG meeting, June 26, 2013 21
Uncorrected dmac net-p Kσ2 vs. root-s for 0-5%
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Bulkcorr PWG meeting, June 26, 2013 22
Uncorrected dmac net-q Kσ2 vs. centrality by root-s
(N)BD and SampSingsimilar for 39 and below
SampSing blows upfor 62.4 and 200 andexcept for peripheral…
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Bulkcorr PWG meeting, June 26, 2013 23
Sampled singles net-q central at highest root-s!
Same events!Intra-event correlations are important…
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Bulkcorr PWG meeting, June 26, 2013 24
Uncorrected dmac net-q Kσ2 vs. root-s for 0-5%
Intriguing that sampled singles ~reproduces the data for 39 GeV and below.What turns on between 39 and 62.4?!?
moments update
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Bulkcorr PWG meeting, June 26, 2013 25
Uncorrected dmac net-K Sσ vs. centrality by root-s
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Bulkcorr PWG meeting, June 26, 2013 26
Uncorrected dmac net-K Kσ2 vs. centrality by root-s
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Bulkcorr PWG meeting, June 26, 2013 27
Uncorrected dmac net-K Kσ2 vs. root-s for 0-5%
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Bulkcorr PWG meeting, June 26, 2013 28
Efficiency corrections to dmac net-q (using nihar’s chg-independent eff.’s)
Sσ vs centrality by root-s
Kσ2 vs centrality by root-s7.7 11.5 19.6 27 39 62.4 200
open: uncorrectedsolid: corrected
unlike net-p (slide 15), corrected net-q valuesare larger than the uncorrected values
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Bulkcorr PWG meeting, June 26, 2013 29
Summary
Completely independent analysis code for data, sampled singles, and (N)BD.Now including sampled singles uncertainties (Δ-thm) and some efficiency corrections.
Oversampling makes the sampled singles results stable for different TRandom3 seeds.
Sampled singles approaches and (N)BD compared to XFL’s net-p paper data.Sampled singles accurately reproduces the moments values from the data.~no (impact from) intra-event correlations (on these observables) for net-p.
Sampled singles curves based on net-p paper data provided to Xiaofeng.net-p paper GPC is presently discussing whether to show these in the net-p paper.
Same comparisons done for dmac’s net-p, net-K, and net-q results.~no (impact from) intra-event correlations (on these observables) for net-K.Strong (impact from) intra-event correlations (on these observables) for net-q and √sNN≥62.4.
PlansI now have all embedding data for π±, K±, p and pbar at all BES root-s values…Presently calculating the π± and K± tofmatch efficiencies (p,pbar already in hand)Will allow me to efficiency-correct dmac net-p, net-q, & net-K data…
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Bulkcorr PWG meeting, June 26, 2013 30
Uncorrected net-p Sσ vs. centrality by root-s, Comparison
SampSing not oversampled
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Bulkcorr PWG meeting, June 26, 2013 31
Uncorrected net-p Kσ2 vs. centrality by root-s, Comparison
SampSing not oversampled
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Bulkcorr PWG meeting, June 26, 2013 32
Uncorrected net-p Sσ & Kσ2 vs. root-s, 0-5%, Comparison
Ks2
Ss
root-s
Despite widely different acceptances (~50% in <net-p> at 7.7) the present dE/dx-onlyanalysis and the RICE “requiring TOF” give the same answer for 0-5% collisions.
this is kind-ofamazing to me.
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Bulkcorr PWG meeting, June 26, 2013 33
BACKUP SLIDES
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Bulkcorr PWG meeting, June 26, 2013 34
Net-K
sampled singles uncertainties are notdrawn, but are similar to those onthe data points by construction…
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Bulkcorr PWG meeting, June 26, 2013 35
Net-Q
Sampled singles values gobeserk for ~central events atthe highest √sNN….
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Bulkcorr PWG meeting, June 26, 2013 36
Net-p
sampled singles approachreproduces the net-p moments for all √sNN & centrality…
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Bulkcorr PWG meeting, June 26, 2013 37
Net-p vs. √sNN, 0-10% central