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vdM Scan Results in ALICE

vdM Scan Results in ALICE. ALICE Collaboration. Outline. Raw data extraction, and beam intensity Fitting for the shape using single & double Gaussian Pileup correction Numerical sum method Conclusions. Trigger Setup for vdM Scan. V0C 8 cm < r < 76 cm.

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vdM Scan Results in ALICE

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  1. vdM Scan Results in ALICE ALICE Collaboration

  2. Outline • Raw data extraction, and beam intensity • Fitting for the shape using single & double Gaussian • Pileup correction • Numerical sum method • Conclusions ALICE Trigger Meeting

  3. Trigger Setup for vdM Scan V0C 8 cm < r < 76 cm • Each V0-A and C has 32 scintillators with PMT • V0A & V0C coincidence was used for the scan • Essentially background free (<< 1 Hz) V0A 8 cm < r < 100 cm Interaction point 90 cm (3 nsec) 340 cm (11 nsec) ALICE Trigger Meeting

  4. Extracted Raw Data from DCS DB X(horizontal) Y(vertical) • EXCEL sheets were extracted from ALICE DCS Data Base • Data matching among different tables and selections needed (now all established) • Green lines .. Selected time periods for X and Y scans Acquisition flag (0 or 1) X(horizontal) Y(vertical) ALICE Trigger Meeting

  5. Bunch Intensity • BCT bunchintensity data from LHC after offset corrections • B1 BC=1786 1.741 x 1010 (previously used: 1.91) • B2 BC=892 2.065 x 1010 (previously used: 2.01) • Very stable. Variation during scan time is < 0.02%Effect to Luminosity by intensity variation is < 0.05 %  negligible Fill 1090 Offset corrections: B1: 0.35 x 1010 B2: 0.18 x 1010 x y B2 B1 ALICE Trigger Meeting

  6. Bump Calibration X-scan Y-scan • Offline analysis applied for dedicated bump calibration run and compared to the beam displacement provided by LHC • Xvtx = 0.987 Xdisp and Yvtx =0.991 Ydisp • Estimated overall scale error: 2 m ALICE Trigger Meeting

  7. Single Gaussian Approximation • Luminosity with beams with Gaussian shape in transverse planefor BEAM1and  (x1 , y1) and BEAM2(x2 , y2) • If BEAM1 and BEAM2 are displaced by distances (dx, dy)Fitting the trigger rate R = L where  is cross section of the process the trigger counts  Standard deviation by Gaussian fit result scanx and scanx are Assume B1 and B2 have same size (x, y) ALICE Trigger Meeting

  8. Double Gaussian Approximation • Start: where the shapes of two beams are not distinguishable • Since we did “two Gaussian” fit, relative magnitude α and (1-α) of 2 gaus shapes (primary and secondary) have been obtained where g is normalized Gaussian function • Gaussian integration part is where corresponds to Single Gaussian ALICE Trigger Meeting

  9. Single and Double Gaussian Fits Single Gauss, H scanx1=62.4m scanx2=90.5m scanx=63.3m Single Gauss, V scany1=65.0m scany2=179m scany=68.6m • Dashed line in double Gaussian shows only primary Gaussian • Single Gaussian does not fit at tail, however also double Gaussian as well(asymmetric tail for Y scan) ALICE Trigger Meeting

  10. Pile-up /  Correction •  ~ R / ( f kb ) R: Interaction rate for V0 cross section(Not a V0 count rate) f: Machine frequency kb = 1 (number of BX) • Estimated  during the vdM scan at zero displacement (R~1000) is 0.1 • V0 rate = ( 1–e– ) f kb ~ 0.95R • Correctable (fill by fill or BX by BX) Remark • At high , for example  =1.0, difference goes up to 40% better minimize  for next vDM scan but 0.1 or 0.2 are still manageable kb=1 kb=2 kb=3 ALICE Trigger Meeting

  11. After Pile-up Corrected V0 Rates • Maximum rate increases by 4% • X: 953  992 Hz • Y: 949  969 Hz • Difference in X and Y is not beam intensity (2% effect) Use mean = 980.1 Hz • Standard deviations do not change much scanx1=62.7m scanx2=90.4m scany1=66.9m scany2=162m ALICE Trigger Meeting

  12. Numerical Sum Method normalized shape bunch intensity • Assumption (factorized in x and y) • For x-scan with separation b • The sharpness factor P & QFor Gaussian approx, P=1/(2x) • Sum of rate over b • The top (no displacement) rate • Divide B by A, then obtain the sharpness, luminosity and cross section • To apply for discrete values (in our vdM scan, separation step is constant = 22.42 [m]) A B ALICE Trigger Meeting

  13. Numerical Sum Result • Integral • Sx = 152.17  0.67(stat.) [Hz mm] • Sy = 162.20  0.69(stat.) [Hz mm] • Separation-zero values (top rate) with pile-up corrections • Rx(0,0) = 986.72  10.93(stat.) [Hz] • Ry(0,0) = 975.08  10.87(stat.) [Hz] note: Rx and Ry are different • Sharpness • P = 6.484  0.077(stat.) [/mm] corresponds to Gauss x = 43.50 [m] • Q = 6.011  0.072(stat.) [/mm] y = 46.92 [m] • Luminosity and cross section • L = kb f N1 N2 P Q = ( 1.576  0.027stat ) x 1032 [s-1m-2] • v0 = 62.2  0.1(stat) [mb] (statistical error 0.2 %) where the average top rate 980.90 [Hz] is used ALICE Trigger Meeting

  14. Result and Systematic Uncertainty • Possible uncertainties • Bunch intensity error dominated by DCCT baseline shifts and scale [J.J.Gras & W.Kozanecki] … 5%5% 2. V0 top rate discrepancy for X and Y scan … 2% 3. Separation has 2 m error (known from bump calibration) … 4% • Overall uncertainties of 1. to 3.  ~ 8% (preliminary) • Single and double Gaussian fit results show that the result will stay within systematic uncertainties • Numerical sum method does not have influence of fitting, and also independent from Gaussian approximations: Use this value as central value ALICE v0 = 62.2 [mb]  0.2 % (stat.)  8%(syst.) (preliminary) ALICE Trigger Meeting

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