Multijet in Neutral Current Deep Inelastic Scattering
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1 Multijet in Neutral Current Deep Inelastic Scattering ZEUS Collaboration Meeting June 24, 2004 Liang Li University of Wisconsin Nils Krumnack Hamburg University Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
2 Event Selection and Jet Reconstruction data, 82.2 pb - DIS Events Corrected E e > 0 GeV, Zvertex < 50 cm, 40 < E-P z < 60 GeV Trigger Selection Combination of HPP4, DIS03 and DIS0 Kinematic Range 0 < Q 2 < 5000 GeV 2, Y EL < 0.6, Y JB > 0.04, cosγ had < 0.7 Jet Reconstruction Longitudinally invariant KT algorithm on ZUFOs in Breit frame At least 2 jets found in Breit frame E T BRT > 5 GeV, - <η LAB < 2.5 Invariant mass M 2,3jet >25 GeV Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
3 dσ / dq 2 (pb/gev M n-jet > 25 GeV Compare Data vs. NLOJET: PDF ZEUS NLO ( + δ hadr : O( 2 NLO ( + δ hadr : O( 3 ZEUS (prel Dijets ZEUS (prel Trijets Energy Scale Uncertainty = 0.79 a (dσ/dq 2 trijets / (dσ/dq 2 dijets 5 ZEUS ZEUS (prel Energy Scale Uncertainty NLO ( + δ hadr : /6 < µ r 2 / (Q 2 +E T 2 < R 3/2 =σ trijet /σ dijet data / theory data / theory Dijets/NLO : O( 2 : /6 < µ r 2 /(Q 2 +E T 2 < Trijets/NLO : O( 3 : /6 < µ r 2 /(Q 2 +E T 2 < b c Q 2 (GeV M n-jet > 25 GeV NLO ( + δ hadr : O( Q 2 (GeV 2 Scale µ r = µ f = (E T2 + Q 2 /4 Results presented at DIS2004 showed that NLO describes data Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
4 dσ / dq 2 (pb/gev M n-jet > 25 GeV Compare Data vs. NLOJET : MRST99 and CTEQ4M PDF ZEUS MRST99 NLO ( + δ hadr : O( 2 MRST99 NLO ( + δ hadr : O( 3 ZEUS (prel Dijets ZEUS (prel Trijets Energy Scale Uncertainty MRST = 0.75 a dσ / dq 2 (pb/gev M n-jet > 25 GeV ZEUS CTEQ4M NLO ( + δ hadr : O( 2 CTEQ4M NLO ( + δ hadr : O( 3 ZEUS (prel Dijets ZEUS (prel Trijets Energy Scale Uncertainty CTEQ4M = 0.6 a data / theory data / theory b Dijets/NLO : O( 2 MRST99 : /6 < µ 2 r /(Q 2 +E T 2 < c Trijets/NLO : O( 3 MRST99 : /6 < µ 2 r /(Q 2 +E T 2 < Q 2 (GeV 2 data / theory data / theory b Dijets/NLO : O( 2 CTEQ4M : /6 < µ 2 r /(Q 2 +E T 2 < c Trijets/NLO : O( 3 CTEQ4M : /6 < µ 2 r /(Q 2 +E T 2 < Q 2 (GeV 2 Good description of both dijets and trijets over 3 orders of magnitude in Q 2 for both PDFs Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
5 (dσ/dq 2 trijets / (dσ/dq 2 dijets 5 Trijet to Dijet Cross Section Ratio R 3/2 : CTEQ4 with Different value R 3/2 ZEUS ZEUS (prel Energy Scale Uncertainty 2 CTEQ4M NLO ( + δ hadr : /6 < µ r / (Q 2 +E T 2 < R 3/2 =σ trijet /σ dijet As expected, predictions within one PDF are sensitive to Potential to extract 5 5 CTEQ4A5 : =0.22 CTEQ4A4 : =0.9 CTEQ4M : =0.6 CTEQ4A2 : =0.3 CTEQ4A : = Q 2 (GeV 2 Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
6 Parametrisation of R 3/2 with the value of (M z ZEUS 85 < Q 2 < 220 Gev 2 CTEQ4 DATA α S Trijet/Dijet Procedures: Run NLOJET with several α S values and fit through a linear function for each Q 2 bin Use this function to associate R 3/2 measurements with α S (M z Extract α S for each Q 2 bin and a combined value with a χ 2 -fit. Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
7 Extraction of α S with CTEQ4 PDF 0 < Q 2 < 35 Gev 2 85 < Q 2 < 220 Gev 2 35 < Q 2 < 85 Gev < Q 2 < 700 Gev 2 Data CTEQ4 CTEQ4 allows more variations in α S (M z than other PDF available (MRST99 α S (M 700 < Q 2 < 5000 Gev 2 Z = 0.79 ± < Q 2 < 5000 Gev = 0.799± (stat. Q 2 (Gev Systematic uncertainties next page (syst (th. Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
8 Systematic Uncertainties Experimental (maximal change Jet pseudo-rapidity cut: % Use of different LO MC model: 2% Jet transverse energy and invariant mass cuts: 2% The absolute energy scale of the CAL: 2.5% Other sources which have negligible effects Un-reweighted MC Z Vertex cuts Y JB cut E-P Z cut Cosγ had cut Theoretical (maximal change Hadronisation correction factors: 2% Terms beyond NLO: 5% Uncertainties in the proton PDFs: to be included α α S (M Z S (M Z = = Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
9 Other measurements th. uncert. exp. uncert. Inclusive jet cross sections in γp ZEUS (Phys Lett B 560 ( Multi-jets in NC DIS ZEUS new analysis Subjet multiplicity in CC DIS ZEUS (Eur Phys Jour C 3 ( Subjet multiplicity in NC DIS ZEUS (Phys Lett B 558 ( Jet shapes in NC DIS ZEUS (DESY hep-ex/ NLO QCD fit ZEUS (Phys Rev D 67 ( Inclusive jet cross sections in NC DIS ZEUS (Phys Lett B 547 ( Dijet cross sections in NC DIS ZEUS (Phys Lett B 507 ( World average (S. Bethke, hep-ex/0202 Errors competitive PDF uncertainty not yet included But see comparison with different PDF next page Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
10 Extraction of α S with MRST99 PDF 0 < Q 2 < 35 Gev 2 35 < Q 2 < 85 Gev 2 Data MRST99 85 < Q 2 < 220 Gev < Q 2 < 700 Gev 2 α S (M 700 < Q 2 < 5000 Gev 2 Z = 0.78 ± < Q 2 < 5000 Gev = ± (stat. Q 2 (Gev Excellent agreement between CTEQ4M and MRST99 PDF (syst (th. Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
11 Compare CTEQ4M vs. 0 < Q 2 < 35 Gev 2 CTEQ4 85 < Q 2 < 220 Gev 2 CTEQ4 700 < Q 2 < 5000 Gev 2 CTEQ4 35 < Q 2 < 85 Gev 2 CTEQ4 220 < Q 2 < 700 Gev 2 CTEQ < Q 2 < 5000 Gev = 0.799± Q 2 (Gev 2 Good agreement Small difference observed at low Q 2 which can be explained by the difference between CTEQ4 and PDF (confirmed by CTEQ group Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
12 Summary and Outlook Extracted value in good agreement with world average PDF uncertainty study underway Paper draft Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
13 Compare MRST99 vs. 0 < Q 2 < 35 Gev 2 MRST99 35 < Q 2 < 85 Gev 2 MRST99 85 < Q 2 < 220 Gev 2 MRST < Q 2 < 700 Gev 2 MRST < Q 2 < 5000 Gev 2 MRST < Q 2 < 5000 Gev = ± Q 2 (Gev 2 Multijet Study, L.Li (U. Wisconsin, N.Krumnack (Hamburg U. ZEUS Collaboration Meeting, June 24, 2004
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