A Closer Look at the The “underlying event” consists of hard initial & final-state radiation plus the “beam-beam remnants” and possible multiple parton interactions. Underlying Event in Run 2 at CDF CERN MC4LHC Workshop July 2003 During the workshop the theorists, ATLAS/CMS Proton experimenters, and I constructed a “wish list” ofmore data new Much Run 2 Underlying Event from CDF relating to “min-bias” and the results I can show here! “underlying event” and I promised to do thethan analysis and have the data available by the Itime of make the plots will the Santa Barbara workshop in February 2004. Outgoing Parton New CDF Run 2 results! available in the CDF “blessed plots” area soon! Outgoing Parton PT(hard) Initial-State Radiation AntiProton Underlying Event Final-State Radiation Two Classes of Events: “Leading Jet” and “Back-to-Back”. Two “Transverse” regions: “transMAX”, “transMIN”, “transDIF”. PTmax and PTmaxT distributions and averages. Df Distributions: “Density” and “Associated Density”. <pT> versus charged multiplicity: “min-bias” and the “transverse” region. Correlations between the two “transverse” regions: “trans1” vs “trans2”. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 1 The “Transverse” Regions as defined by the Leading Jet Jet #1 Direction “Transverse” region is very sensitive to the “underlying event”! Charged Particle Df Correlations 2p pT > 0.5 GeV/c |h| < 1 Away Region “Toward-Side” Jet Df Look at the charged particle density in the “transverse” region! Jet #1 Direction Transverse Region 1 Df “Toward” “Toward” “Transverse” “Transverse” “Away” “Trans 1” f Leading Jet “Trans 2” Toward Region Transverse Region 2 “Away” “Away-Side” Jet Away Region 0 -1 h +1 Look at charged particle correlations in the azimuthal angle Dfrelative to the leading calorimeter jet (JetClu R = 0.7, |h| < 2). o o o o o Define |Df| < 60 as “Toward”, 60 < -Df < 120 and 60 < Df < 120 as “Transverse 1” and o “Transverse 2”, and |Df| > 120 as “Away”. Each of the two “transverse” regions have o area DhDf = 2x60 = 4p/6. The overall “transverse” region is the sum of the two o transverse regions (DhDf = 2x120 = 4p/3). KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 2 Particle Densities DhDf = 4p = 12.6 2p f 31 charged charged particles particle Charged Particles pT > 0.5 GeV/c |h| < 1 CDF Run 2 “Min-Bias” CDF Run 2 “Min-Bias” Observable Average Nchg Number of Charged Particles (pT > 0.5 GeV/c, |h| < 1) 3.17 +/- 0.31 0.252 +/- 0.025 PTsum (GeV/c) Scalar pT sum of Charged Particles (pT > 0.5 GeV/c, |h| < 1) 2.97 +/- 0.23 0.236 +/- 0.018 Average Density per unit h-f chg/dhdf = 1/4p 3/4p = 0.08 0.24 dNchg 13 GeV/c PTsum 0 -1 h +1 Divide by 4p dPTsum/dhdf = 1/4p 3/4p GeV/c = 0.08 0.24 GeV/c Study the charged particles (pT > 0.5 GeV/c, |h| < 1) and form the charged particle density, dNchg/dhdf, and the charged scalar pT sum density, dPTsum/dhdf. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 3 “Transverse” Particle Densities Charged Particles pT > 0.5 GeV/c |h| < 1 2p Away Region Jet #1 Direction Df Transverse Region 1 f Leading Jet AVE “transverse” (Trans 1 + Trans 2)/2 Area = 4p/6 “Toward” “Trans 1” “Trans 2” Toward Region Transverse Region 2 “Away” 1 charged particle in the “transverse 2” region Away Region 0 -1 h +1 dNchg/dhdf = 1/(4p/6) = 0.48 Study the charged particles (pT > 0.5 GeV/c, |h| < 1) in the “Transverse 1” and “Transverse 2” and form the charged particle density, dNchg/dhdf, and the charged scalar pT sum density, dPTsum/dhdf. The average “transverse” density is the average of “transverse 1” and “transverse 2”. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 4 Charged Particle Density Df Dependence Charged Particle Density: dN/dhdf Log Scale! Jet #1 Direction 10.0 30 < ET(jet#1) < 70 GeV Df “Toward” “Transverse” “Transverse” Jet #3 “Away” Charged Particle Density CDF Preliminary “Toward-Side” Jet data uncorrected "Transverse" Region 1.0 Jet#1 Charged Particles (|h|<1.0, PT>0.5 GeV/c) “Away-Side” “Away-Side” Jet Jet 0.1 0 30 60 90 Min-Bias 0.25 per unit h-f 120 150 180 210 Df (degrees) 240 270 300 Leading Jet 330 360 Shows the Df dependence of the charged particle density, dNchg/dhdf, for charged particles in the range pT > 0.5 GeV/c and |h| < 1 relative to jet#1 (rotated to 270o) for “leading jet” events 30 < ET(jet#1) < 70 GeV. Also shows charged particle density, dNchg/dhdf, for charged particles in the range pT > 0.5 GeV/c and |h| < 1 for “min-bias” collisions. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 5 Refer to this as a “Leading Jet” event Charged Particle Density Df Dependence Jet #1 Direction Df Particle Density: Density: dN/dhdf dN/dhdf Charged Particle “Toward” “Transverse” CDF Preliminary “Transverse” “Away” Refer to this as a “Back-to-Back” event Jet #1 Direction Df “Toward” “Transverse” Density Charged Particle Density Subset 10.0 10.0 data uncorrected 30 << ET(jet#1) ET(jet#1)<<70 70GeV GeV 30 Back-to-Back Leading Jet Min-Bias "Transverse" "Transverse" Region Region 1.0 1.0 Jet#1 Jet#1 Charged Particles Charged (|h|<1.0, PT>0.5 GeV/c) (|h|<1.0, “Transverse” 0.1 0.1 “Away” 00 30 60 90 120 150 180 180 210 210 240 240 270 270 300 300 330 330 360 360 Df (degrees) (degrees) Jet #2 Direction Look at the “transverse” region as defined by the leading jet (JetClu R = 0.7, |h| < 2) or by the leading two jets (JetClu R = 0.7, |h| < 2). “Back-to-Back” events are selected to have at least two jets with Jet#1 and Jet#2 nearly “back-to-back” (Df12 > 150o) with almost equal transverse energies (ET(jet#2)/ET(jet#1) > 0.8). Shows the Df dependence of the charged particle density, dNchg/dhdf, for charged particles in the range pT > 0.5 GeV/c and |h| < 1 relative to jet#1 (rotated to 270o) for 30 < ET(jet#1) < 70 GeV for “Leading Jet” and “Back-to-Back” events. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 6 Charged Particle Density Df Dependence “Leading Jet” Jet #1 Direction Charged Particle Density: dN/dhdf Df 272 CDF Preliminary “Toward” 252 256 260 264 268 276 280 284 288 292 248 296 244 data uncorrected 30 < ET(jet#1) < 70 GeV 300 240 304 236 308 232 “Transverse” 312 228 “Transverse” 316 224 320 220 324 Jet#1 216 328 212 “Away” 332 208 336 204 340 200 “Back-to-Back” 344 196 348 192 Jet #1 Direction 352 188 Df "Transverse" Region 184 180 356 "Transverse" Region 360 4 176 “Toward” 8 172 12 0.5 168 16 164 “Transverse” “Transverse” 20 160 24 1.0 156 28 Leading Jet 152 “Away” Back-to-Back 36 148 1.5 144 140 40 44 136 48 132 Jet #2 Direction 52 2.0 128 Polar Plot 32 Charged Particles (|h|<1.0, PT>0.5 GeV/c) 124 56 60 120 64 116 68 112 108 104 100 96 88 84 80 76 72 92 Shows the Df dependence of the charged particle density, dNchg/dhdf, for charged particles in the range pT > 0.5 GeV/c and |h| < 1 relative to jet#1 (rotated to 270o) for 30 < ET(jet#1) < 70 GeV for “Leading Jet” and “Back-to-Back” events. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 7 “Transverse” PTsum Density versus ET(jet#1) Jet #1 Direction Df “Toward” “Transverse” “Transverse” “Away” “Back-to-Back” Jet #1 Direction Df “Toward” “Transverse” "AVE Transverse" PTsum Density: dPT/dhdf 1.4 “Transverse” "Transverse" PTsum Density (GeV/c) “Leading Jet” uncorrected datadata uncorrected theory + CDFSIM PY Tune A 1.0 0.8 0.6 0.4 Back-to-Back HW 0.2 1.96 TeV Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.0 0 50 “Away” Jet #2 Direction Leading Jet 2 Preliminary CDF Run Preliminary 1.2 100 150 200 250 ET(jet#1) (GeV) Min-Bias 0.24 GeV/c per unit h-f Shows the average charged PTsum density, dPTsum/dhdf, in the “transverse” region (pT > 0.5 GeV/c, |h| < 1) versus ET(jet#1) for “Leading Jet” and “Back-to-Back” events. Compares the (uncorrected) data with PYTHIA Tune A and HERWIG after CDFSIM. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 12 “Transverse” PTsum Density versus ET(jet#1) Jet #1 Direction Df Charged PTsum Density: dPT/dhdf 100.0 “Transverse” “Transverse” “Away” "AVE Transverse" PTsum Density: dPT/dhdf Leading Jet CDF Run 2 Preliminary 1.2 data uncorrected 1.0 CDF Preliminary 95 < ET(jet#1) < 130 GeV 30 < ET(jet#1) < 70 GeV data uncorrected Leading Jet Min-Bias 10.0 "Transverse" Region 1.0 Charged Particles (|h|<1.0, PT>0.5 GeV/c) Jet#1 0.1 0 0.8 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) 0.6 30-70 GeV 0.4 Charged PTsum Density: dPT/dhdf 95-130 GeV Back-to-Back 0.2 1.96 TeV 50 100 ET(jet#1) (GeV) Jet #1 Direction Df “Toward” “Transverse” 95 < ET(jet#1) < 130 GeV Very little dependence on ET(jet#1) in the “transverse” 200 250 region150 for “back-to-back” events!10.0 Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.0 0 100.0 Charged PTsum Density (GeV/c) "Transverse" PTsum Density (GeV/c) 1.4 Charged PTsum Density (GeV/c) “Toward” “Transverse” Back-to-Back 30 < ET(jet#1) < 70 GeV Min-Bias Charged Particles (|h|<1.0, PT>0.5 GeV/c) 1.0 CDF Preliminary Jet#1 data uncorrected "Transverse" Region 0.1 “Away” 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Jet #2 Direction KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 13 “TransDIF” PTsum Density versus ET(jet#1) “Leading Jet” Jet #1 Direction "MAX-MIN Transverse" PTsum Density: dPT/dhdf Df “Toward” “TransMAX” "Transverse" PTsum Density (GeV/c) 2.0 CDF Run 2 Preliminary CDF Run 2 PreliminaryPY Tune A Jet #1 Direction data uncorrected “TransMIN” “Away” data uncorrected theory + CDFSIM theory + CDFSIM Df 1.5 LeadingJet “Toward” 1.0 “Back-to-Back” Jet #1 Direction Df “Toward” “TransMAX” 0.5 “TransMIN” Back-to-Back “Away” 1.96 TeV HW Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.0 “TransMAX” “TransMIN” “Away” Jet #2 Direction 0 50 “MAX-MIN” is very sensitive to the “hard scattering” component of the “underlying event”! 100 150 200 250 ET(jet#1) (GeV) Use the leading jet to define the MAX and MIN “transverse” regions on an event-byevent basis with MAX (MIN) having the largest (smallest) charged PTsum density. Shows the “transDIF” = MAX-MIN charge PTsum density, dPTsum/dhdf, for pT > 0.5 GeV/c, |h| < 1 versus ET(jet#1) for “Leading Jet” and “Back-to-Back” events. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 14 “TransMIN” PTsum Density versus ET(jet#1) “Leading Jet” Jet #1 Direction Df "MIN Transverse" PTsum Density: dPT/dhdf “Toward” “TransMAX” "Transverse" PTsum Density (GeV/c) 0.6 CDF Run 2 Preliminary Jet #1 Direction “TransMIN” “Away” 1.96 TeV data uncorrected theory + CDFSIM Df Leading Jet Jet Leading PY Tune A 0.4 “Toward” “Back-to-Back” Jet #1 Direction Df “Toward” “TransMAX” “TransMIN” “Away” Jet #2 Direction “TransMAX” 0.2 “TransMIN” Min-Bias “Away” Back-to-Back Back-to-Back HW Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.0 0 50 “transMIN” is very sensitive to the “beam-beam remnant” component of the “underlying event”! 100 150 200 250 ET(jet#1) (GeV) Use the leading jet to define the MAX and MIN “transverse” regions on an event-byevent basis with MAX (MIN) having the largest (smallest) charged particle density. Shows the “transMIN” charge particle density, dNchg/dhdf, for pT > 0.5 GeV/c, |h| < 1 versus ET(jet#1) for “Leading Jet” and “Back-to-Back” events. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 15 “Transverse” PTsum Density PYTHIA Tune A vs HERWIG “Leading Jet” Jet #1 Direction Df "AVE Transverse" PTsum Density: dPT/dhdf “Toward” “Transverse” “Transverse” “Away” “Back-to-Back” Jet #1 Direction Df “Toward” “Transverse” “Transverse” "Transverse" PTsum Density (GeV/c) 1.4 Leading Jet CDF Preliminary 1.2 data uncorrected theory + CDFSIM PY Tune A 1.0 0.8 0.6 0.4 Back-to-Back HW 0.2 1.96 TeV Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.0 0 50 100 150 200 250 ET(jet#1) (GeV) “Away” Jet #2 Direction Now look in detail at “back-to-back” events in the region 30 < ET(jet#1) < 70 GeV! Shows the average charged PTsum density, dPTsum/dhdf, in the “transverse” region (pT > 0.5 GeV/c, |h| < 1) versus ET(jet#1) for “Leading Jet” and “Back-to-Back” events. Compares the (uncorrected) data with PYTHIA Tune A and HERWIG after CDFSIM. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 19 Charged PTsum Density PYTHIA Tune A vs HERWIG HERWIG (without multiple parton interactions) does not produces enough PTsum in the “transverse” region for 30 < ET(jet#1) < 70 GeV! Charged PTsum Density: dPT/dhdf Charged PTsum Density: dPT/dhdf 100.0 Charged Particles 30 < ET(jet#1) < 70 GeV (|h|<1.0, PT>0.5 GeV/c) Back-to-Back PY Tune A Charged PTsum Density (GeV/c) Charged PTsum Density (GeV/c) 100.0 10.0 1.0 CDF Preliminary Jet#1 "Transverse" Region data uncorrected theory + CDFSIM Charged Particles 30 < ET(jet#1) < 70 GeV (|h|<1.0, PT>0.5 GeV/c) Back-to-Back HERWIG 10.0 "Transverse" Region 1.0 CDF Preliminary 0.1 0.1 0 30 60 90 120 150 180 210 240 270 300 330 360 0 30 60 90 120 Df (degrees) 150 180 210 240 270 300 330 360 330 360 Df (degrees) Data - Theory: Charged PTsum Density dPT/dhdf Data - Theory: Charged PTsum Density dPT/dhdf 2 2 data uncorrected theory + CDFSIM 1 Back-to-Back 30 < ET(jet#1) < 70 GeV PYTHIA Tune A CDF Preliminary Data - Theory (GeV/c) CDF Preliminary Data - Theory (GeV/c) Jet#1 data uncorrected theory + CDFSIM 0 -1 "Transverse" Region Charged Particles (|h|<1.0, PT>0.5 GeV/c) data uncorrected theory + CDFSIM 1 30 < ET(jet#1) < 70 GeV Back-to-Back HERWIG 0 -1 "Transverse" Region Charged Particles (|h|<1.0, PT>0.5 GeV/c) Jet#1 Jet#1 -2 -2 0 30 60 90 120 150 180 210 240 270 300 330 360 0 30 90 120 150 180 210 240 270 300 Df (degrees) Df (degrees) KITP Collider Workshop February 17, 2004 60 Rick Field - Florida/CDF Page 20 Charged PTsum Density PYTHIA Tune A vs HERWIG Data - Theory: Charged PTsum Density dPT/dhdf Data - Theory: Charged PTsum Density dPT/dhdf 2 2 data uncorrected theory + CDFSIM 1 Back-to-Back 30 < ET(jet#1) < 70 GeV PYTHIA Tune A CDF Preliminary Data - Theory (GeV/c) Data - Theory (GeV/c) CDF Preliminary 0 -1 "Transverse" Region Charged Particles (|h|<1.0, PT>0.5 GeV/c) data uncorrected theory + CDFSIM 1 30 < ET(jet#1) < 70 GeV Back-to-Back HERWIG 0 -1 "Transverse" Region Charged Particles (|h|<1.0, PT>0.5 GeV/c) Jet#1 Jet#1 -2 -2 0 30 60 90 120 150 180 210 240 270 300 330 0 360 30 60 90 120 210 240 270 300 330 360 330 360 Data - Theory: Charged PTsum Density dPT/dhdf dPT/dhdf + 0.2 GeV/c 2 scalar PTsum density, dPTsum/dhdf. This corresponds to 0.2 x 4p = 2.5 GeV/c in the entire range pT > 0.5 GeV/c, |h| < 1. Data - Theory (GeV/c) CDF Preliminary Add 0.2 GeV/c per unit h-f to HERWIG KITP Collider Workshop February 17, 2004 180 Df (degrees) Df (degrees) 308 MeV in R = 0.7 cone! 150 data uncorrected theory + CDFSIM 1 30 < ET(jet#1) < 70 GeV Back-to-Back HERWIG + 0.2 GeV/c 0 -1 "Transverse" Region Charged Particles (|h|<1.0, PT>0.5 GeV/c) Jet#1 -2 0 30 Rick Field - Florida/CDF 60 90 120 150 180 210 240 270 300 Df (degrees) Page 21 “Transverse” <pT> versus “Transverse” Nchg “Leading Jet” Jet #1 Direction "Transverse" Average PT versus Nchg Df 2.0 2.0 CDF Run 2 Preliminary “Toward” CDF Run 2 Preliminary Jet #1 Direction data uncorrected “Transverse” “Away” “Back-to-Back” Jet #1 Direction Df “Toward” “Transverse” “Transverse” Average PT (GeV/c) data uncorrected “Transverse” Df LeadingJet Jet Leading ET(jet#1)< <7070GeV GeV 3030< <ET(jet#1) theory + CDFSIM 1.96 TeV 1.5 1.5 Back-to-Back Back-to-Back 30 30<<ET(jet#1) ET(jet#1)<<70 70GeV GeV “Toward” 1.0 1.0 “Transverse” “Transverse” PYTHIA Tune A 1.96 TeV Min-Bias Min-Bias “Away” Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.5 0.5 00 22 44 6 8 10 12 14 16 18 20 22 Number of Charged Particles “Away” Min-Bias Jet #2 Direction Look at the <pT> of particles in the “transverse” region (pT > 0.5 GeV/c, |h| < 1) versus the number of particles in the “transverse” region: <pT> vs Nchg. Shows <pT> versus Nchg in the “transverse” region (pT > 0.5 GeV/c, |h| < 1) for “Leading Jet” and “Back-to-Back” events with 30 < ET(jet#1) < 70 GeV compared with “minbias” collisions. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 26 “Transverse” PTmax versus ET(jet#1) Jet #1 Direction “Leading Jet” Df “TransMIN” Highest“TransMAX” pT particle in the “transverse” region! “Back-to-Back” “Away” Jet #1 Direction Df “Toward” “TransMAX” PTmaxT PTmaxT “TransMIN” “Away” "Transverse" PTmax (GeV/c) Jet #1 Direction “Toward” PTmaxT "Transverse" Charged PTmax 3.0 CDF Run 2 Preliminary 1.96 TeV Df 2.5 data uncorrected Leading Jet 2.0 “Toward” 1.5 “TransMAX” 1.0 “TransMIN” 0.5“Away” Min-Bias Back-to-Back Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.0 0 50 100 150 200 250 ET(jet#1) (GeV) Jet #2 Direction Min-Bias Use the leading jet to define the “transverse” region and look at the maximum pT charged particle in the “transverse” region, PTmaxT. Shows the average PTmaxT, in the “transverse” region (pT > 0.5 GeV/c, |h| < 1) versus ET(jet#1) for “Leading Jet” and “Back-to-Back” events compared with the average maximum pT particle, PTmax, in “min-bias” collisions (pT > 0.5 GeV/c, |h| < 1). KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 27 Min-Bias “Associated” Highest pT charged particle! Charged Particle Density “Associated” densities do not include PTmax! Charged Particle Density: dN/dhdf PTmax Direction 0.5 PTmax Direction Df Correlations in f Charged Particle Density CDF Preliminary Associated Density PTmax not included data uncorrected 0.4 Df Charge Density 0.3 0.2 0.1 Min-Bias Correlations in f Charged Particles (|h|<1.0, PT>0.5 GeV/c) PTmax 0.0 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Use the maximum pT charged particle in the event, PTmax, to define a direction and is “associated” more probable to finddN a chg particle look at the It the density, /dhdf, in “min-bias” collisions (pT > 0.5 PTmax than it is to GeV/c, |h| <accompanying 1). find a particle in the central region! Shows the data on the Df dependence of the “associated” charged particle density, dNchg/dhdf, for charged particles (pT > 0.5 GeV/c, |h| < 1, not including PTmax) relative to PTmax (rotated to 180o) for “min-bias” events. Also shown is the average charged particle density, dNchg/dhdf, for “min-bias” events. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 28 Min-Bias “Associated” Rapid rise in the particle density in the “transverse” region as PTmax increases! Charged Particle Density Associated Particle Density: dN/dhdf PTmaxDirection Direction PTmax Df “Toward” “Transverse” “Transverse” Correlations in f “Away” Associated Particle Density Jet #1 Df PTmax > 2.0 GeV/c 1.0 PTmax > 2.0 GeV/c PTmax > 1.0 GeV/c 0.8 Charged Particles (|h|<1.0, PT>0.5 GeV/c) CDF Preliminary data uncorrected PTmax > 0.5 GeV/c Transverse Region 0.6 Transverse Region 0.4 0.2 Jet #2 PTmax PTmax not included Min-Bias 0.0 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Ave Min-Bias 0.25 per unit h-f PTmax > 0.5 GeV/c Shows the data on the Df dependence of the “associated” charged particle density, dNchg/dhdf, for charged particles (pT > 0.5 GeV/c, |h| < 1, not including PTmax) relative to PTmax (rotated to 180o) for “min-bias” events with PTmax > 0.5, 1.0, and 2.0 GeV/c. Shows “jet structure” in “min-bias” collisions (i.e. the “birth” of the leading two jets!). KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 29 Back-to-Back “Associated” Charged Particle Densities Maximum pT particle in the “transverse” region! Jet #1 Direction PTmaxT Direction “Associated” densities do not include PTmaxT! Df Df “Toward” “TransMAX” PTmaxT “TransMIN” Df PTmaxT Direction Jet#1 Region Jet#2 Region Jet#1 Region Jet#2 Region “Away” Jet #2 Direction Use the leading jet in “back-to-back” events to define the “transverse” region and look at the maximum pT charged particle in the “transverse” region, PTmaxT. Look at the Df dependence of the “associated” charged particle and PTsum densities, dNchg/dhdf and dPTsum/dhdf for charged particles (pT > 0.5 GeV/c, |h| < 1, not including PTmaxT) relative to PTmaxT. Rotate so that PTmaxT is at the center of the plot (i.e. 180o). KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 34 Back-to-Back “Associated” Charged Particle Density “Associated” densities do not include PTmaxT! PTmaxT Direction Jet #1 Jet#1 Region Associated Particle Density Df Jet #2 Charged Particles (|h|<1.0, PT>0.5 GeV/c) CDF Preliminary Jet #3 Jet#2 Region Associated Particle Density: dN/dhdf 10.0 data uncorrected Back-to-Back 30 < ET(jet#1) < 70 GeV PTmaxT not included 1.0 Jet#2 Region PTmaxT > 2.0 GeV/c PTmaxT > 1.0 GeV/c Jet #4?? "Jet#1" Region PTmaxT PTmaxT > 0.5 GeV/c 0.1 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Log Scale! Look at the Df dependence of the “associated” charged particle density, dNchg/dhdf for charged particles (pT > 0.5 GeV/c, |h| < 1, not including PTmaxT) relative to PTmaxT (rotated to 180o) for PTmaxT > 0.5 GeV/c, PTmaxT > 1.0 GeV/c and PTmaxT > 2.0 GeV/c, for “back-to-back” events with 30 < ET(jet#1) < 70 GeV . Shows “jet structure” in the “transverse” region (i.e. the “birth” of the 3rd & 4th jet). KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 35 Back-to-Back “Associated” Charged Particle Densities “Back-to-Back” charge density Jet #1 Direction Df Charged Particle Density: dN/dhdf 10.0 “Toward” “Transverse” “Away” “Back-to-Back” “associated” density Df Jet #2 Direction Jet#1 Region Charged Particle Density “Transverse” CDF Preliminary data uncorrected Charged Particles (|h|<1.0, PT>0.5 GeV/c) "Transverse" Region 1.0 Associated Density PTmaxT not included PTmaxT Back-to-Back PTmaxT > 0.5 GeV/c PTmaxT Direction 30 < ET(jet#1) < 70 GeV Jet#1 0.1 Jet#2 Region 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Shows the Df dependence of the “associated” charged particle density, dNchg/dhdf for charged particles (pT > 0.5 GeV/c, |h| < 1, not including PTmaxT) relative to PTmaxT (rotated to 180o) for PTmaxT > 0.5 GeV/c, PTmaxT > 1.0 GeV/c and PTmaxT > 2.0 It is more probable to find a GeV/c, for “back-to-back” events with 30 < ET(jet#1) < 70 GeV. particle accompanying PTmaxT than itof is the to find a particle in the Shows Df dependence charged particle density, dNchg/dhdf for charged particles “transverse” region! (pT > 0.5 GeV/c, |h| < 1) relative to jet#1 (rotated to 270o) for “back-to-back events” with 30 < ET(jet#1) < 70 GeV. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 37 Back-to-Back “Associated” Charged Particle Densities “Back-to-Back” charge density Charged Particle Density: dN/dhdf Jet #1 Direction Df 2 CDF Preliminary 346 350 354 358 6 10 14 18 342 22 338 26 334 data uncorrected “Toward” 30 < ET(jet#1) < 70 GeV Back-to-Back 30 330 34 326 38 322 42 318 46 314 “Transverse” “Transverse” 50 310 54 Jet#1 306 58 302 62 298 “Away” 66 294 70 290 “Back-to-Back” “associated” density 74 286 78 "Transverse" Region 282 Jet #2 Direction 278 274 82 PTmaxT 270 86 "Transverse" Region 90 94 266 Df Jet#1 Region 98 262 102 0.5 258 106 254 110 250 PTmaxT Direction 114 1.0 246 118 242 122 238 Jet#2 Region 126 234 130 1.5 230 134 226 138 222 142 2.0 218 Polar Plot Charged Particles (|h|<1.0, PT>0.5 GeV/c) 214 154 206 158 202 162 198 194 190 186 Associated Density PTmaxT not included 146 150 210 178 174 170 166 182 Shows the Df dependence of the “associated” charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1 (not including PTmaxT) relative to PTmaxT (rotated to 180o) and the charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1 relative to jet#1 (rotated to 270o) for “back-to-back events” with 30 < ET(jet#1) < 70 GeV. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 38 Back-to-Back “Associated” Charged Particle Densities “Back-to-Back” charge density Charged Particle Density: dN/dhdf Jet #1 Direction Df 2 CDF Preliminary 346 350 354 6 358 10 14 18 22 342 26 338 data uncorrected “Toward” 30 < ET(jet#1) < 70 GeV Back-to-Back 30 334 34 330 38 326 42 322 46 318 50 314 “Transverse” “Transverse” 54 310 Jet#1 306 58 62 302 “Away” 66 298 70 294 74 290 “Back-to-Back” “associated” density 78 286 Jet #2 Direction "Transverse" Region 282 278 82 274 PTmaxT 270 86 "Transverse" Region 90 94 98 266 Df Jet#1 Region 102 262 0.5 258 106 110 254 PTmaxT Direction 114 250 1.0 246 118 122 242 126 238 Jet#2 Region 1.5 234 230 130 134 138 226 2.0 218 Polar Plot Associated Density PTmaxT > 2 GeV/c (not included) 142 222 Charged Particles (|h|<1.0, PT>0.5 GeV/c) 214 146 150 154 210 158 206 162 202 198 194 190 178 186 174 170 166 182 Shows the Df dependence of the “associated” charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1, PTmaxT > 2.0 GeV/c (not including PTmaxT) relative to PTmaxT (rotated to 180o) and the charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1, relative to jet#1 (rotated to 270o) for “back-to-back events” with 30 < ET(jet#1) < 70 GeV. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 39 Jet Topologies QCDThree Four Jet QCD Jet Topology Topology Charged Particle Density: dN/dhdf QCD 2-to-4 Scattering Multiple Parton Interactions 2 Preliminary CDF Final-State Jet #1 data uncorrected Radiation Outgoing Parton 346 10 14 30 < ET(jet#1) < 70 GeV Outgoing Parton Outgoing PartonBack-to-Back 18 30 34 38 326 42 322 46 318 Jet #1 PT(hard) 50 54 Jet#1 306 58 PT(hard) 302 298 PTmaxT Proton Direction Proton 6 358 26 330 310 Jet #3Df 354 22 334 314 Jet#1 Region 350 342 338 62 66 70 294 Jet #4 74 290 78 286 Jet #4 AntiProton AntiProton "Transverse" Jet #3 Region 282 278 274 Jet#2 Region Underlying Event Underlying Event PTmaxT 270 86 90 94 98 266 Underlying Event 102 262 Jet #2 0.5 258 Underlying Event 106 254 110 Jet #2 250 114 1.0 246 118 126 238 1.5 234 230 130 134 138 226 Particles ChargedFinal-State GeV/c) (|h|<1.0, PT>0.5 Radiation Associated Density PTmaxT > 2 GeV/c (not included) 142 222 2.0 218 214 146 150 154 210 Polar Plot Initial-State Radiation 122 242 82 "Transverse" Region 158 206 162 202 198 194 190 178 186 174 170 166 182 Parton Outgoing Outgoing Shows the Df dependence ofParton the “associated” charged particleOutgoing density,Parton dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1, PTmaxT > 2.0 GeV/c (not including PTmaxT) relative to PTmaxT (rotated to 180o) and the charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1, relative to jet#1 (rotated to 270o) for “back-to-back events” with 30 < ET(jet#1) < 70 GeV. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 40 Back-to-Back “Associated” Charged Particle Density Associated Particle Density: dN/dhdf PTmaxT Direction 10.0 Df Jet#2 Region Jet#1 Region Associated Particle Density CDF Preliminary Charged Particles (|h|<1.0, PT>0.5 GeV/c) data uncorrected Back-to-Back 1.0 Jet#2 Region 95 < ET(jet#1) < 130 GeV 30 < ET(jet#1) < 70 GeV "Jet#1" Region PTmaxT PTmaxT > 2.0 GeV/c (not included) 0.1 Log Scale! 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Look at the Df dependence of the “associated” charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1 (not including PTmaxT) relative to PTmaxT (rotated to 180o) for PTmaxT > 2.0 GeV/c for “back-to-back” events with 30 < ET(jet#1) < 70 GeV and 95 < ET(jet#1) < 130 GeV. Very little dependence on ET(jet#1) in the “transverse” region for “back-to-back” events! KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 41 Back-to-Back “Associated” Charged PTsum Density Associated PTsum Density: dPT/dhdf PTmaxT Direction Df Jet#2 Region Jet#1 Region Associated PTsum Density (GeV/c) 100.0 CDF Preliminary Back-to-Back Charged Particles (|h|<1.0, PT>0.5 GeV/c) data uncorrected 10.0 Jet#2 Region 1.0 95 < ET(jet#1) < 130 GeV PTmaxT 30 < ET(jet#1) < 70 GeV "Jet#1" Region PTmaxT > 2.0 GeV/c (not included) 0.1 0 30 60 90 Log Scale! 120 150 180 210 240 270 300 330 360 Df (degrees) Look at the Df dependence of the “associated” charged PTsum density, dPTsum/dhdf, pT > 0.5 GeV/c, |h| < 1 (not including PTmaxT) relative to PTmaxT (rotated to 180o) for PTmaxT > 2.0 GeV/c for “back-to-back” events with 30 < ET(jet#1) < 70 GeV and 95 < ET(jet#1) < 130 GeV. Very little dependence on ET(jet#1) in the “transverse” region for “back-to-back” events! KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 42 “Back-to-Back” “Associated” Density “Back-to-Back” vs “Min-Bias” “Birth” ofCharge jet#3 in the “Associated” Density “transverse” region! PTmaxT Direction Associated Particle Density: dN/dhdf Df “Min-Bias” “Associated” Density Associated Particle Density Jet#2 Region 10.0 Jet#1 Region PTmax Direction Df PTmaxT > 2.0 GeV/c PTmax > 2.0 GeV/c Charged Particles Particles Charged (|h|<1.0, PT>0.5 PT>0.5 GeV/c) GeV/c) (|h|<1.0, 3030< <ET(jet#1) ET(jet#1)< <7070GeV GeV 1.0 Min-Bias x 1.65 PTmaxT PTmaxT PTmax PTmax Min-Bias PTmaxT, PTmaxT,PTmax PTmaxnot notincluded included CDFPreliminary Preliminary CDF data uncorrected data uncorrected 0.1 Correlations in f 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Log Scale! “Birth” of jet#1 in Shows the Df dependence of the “associated” charged particle density,“min-bias” dNchg/dhdf for collisions! pT > 0.5 GeV/c, |h| < 1 (not including PTmaxT) relative to PTmaxT (rotated to 180o) for PTmaxT > 2.0 GeV/c, for “back-to-back” events with 30 < ET(jet#1) < 70 GeV. Shows the data on the Df dependence of the “associated” charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1 (not including PTmax) relative to PTmax (rotated to 180o) for “min-bias” events with PTmax > 2.0 GeV/c. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 43 “Back-to-Back” “Associated” Density “Back-to-Back” vs “Min-Bias” “Birth” ofPTsum jet#3 in the “Associated” Density “transverse” region! PTmaxT Direction Associated PTsum Density: dPT/dhdf Jet#2 Region “Min-Bias” “Associated” Density Associated PTsum Density (GeV/c) Df Jet#1 Region PTmax Direction Df 10.0 30 < ET(jet#1) < 70 GeV Charged Particles (|h|<1.0, PT>0.5 GeV/c) 1.0 Min-Bias Min-Bias x 1.65 PTmaxT > 2.0 GeV/c PTmax > 2.0 GeV/c PTmaxT PTmax CDF Preliminary data uncorrected PTmaxT, PTmax not included 0.1 Correlations in f 0 30 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Log Scale! “Birth” of jet#1 in Shows the Df dependence of the “associated” charged particle density,“min-bias” dNchg/dhdf for collisions! pT > 0.5 GeV/c, |h| < 1 (not including PTmaxT) relative to PTmaxT (rotated to 180o) for PTmaxT > 2.0 GeV/c, for “back-to-back” events with 30 < ET(jet#1) < 70 GeV. Shows the data on the Df dependence of the “associated” charged particle density, dNchg/dhdf, pT > 0.5 GeV/c, |h| < 1 (not including PTmax) relative to PTmax (rotated to 180o) for “min-bias” events with PTmax > 2.0 GeV/c. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 44 “Associated” PTsum Density PYTHIA Tune A vs HERWIG HERWIG (without multiple parton interactions) does not produce enough “associated” PTsum in the direction of PTmaxT! Associated PTsum Density: dPT/dhdf PTmaxT > 0.5 GeV/cAssociated PTsum Density: dPT/dhdf 10.0 Associated PTsum Density (GeV/c) Associated PTsum Density (GeV/c) 10.0 Charged Particles (|h|<1.0, PT>0.5 GeV/c) PTmaxT not included 1.0 PTmaxT > 0.5 GeV/c Back-to-Back 30 < ET(jet#1) < 70 GeV PY Tune A CDF Preliminary PTmaxT data uncorrected theory + CDFSIM "Jet#1" Region 0.1 Charged Particles (|h|<1.0, PT>0.5 GeV/c) PTmaxT not included 1.0 PTmaxT > 0.5 GeV/c HERWIG CDF Preliminary 30 60 90 120 150 180 210 240 270 300 330 360 0 30 60 90 120 Df (degrees) "Jet#1" Region 2 CDF Preliminary And HERWIG (without multiple parton interactions) does not 2 Charged Particles produceBack-to-Back enough PTsum in the (|h|<1.0, PT>0.5 GeV/c) 30 < ET(jet#1) < 70 GeV direction opposite of PTmaxT!1 PTmaxT not included PYTHIA Tune A Data - Theory (GeV/c) data uncorrected theory + CDFSIM 150 180 210 240 270 300 330 360 Df (degrees) Data - Theory: Associated PTsum Density dPT/dhdf Data - Theory: Associated PTsum Density dPT/dhdf Data - Theory (GeV/c) PTmaxT data uncorrected theory + CDFSIM 0.1 0 1 Back-to-Back 30 < ET(jet#1) < 70 GeV 0 -1 PTmaxT CDF Preliminary data uncorrected theory + CDFSIM Charged Particles (|h|<1.0, PT>0.5 GeV/c) Back-to-Back 30 < ET(jet#1) < 70 GeV PTmaxT not included 0 -1 PTmaxT HERWIG "Jet#1" Region "Jet#1" Region -2 -2 0 30 60 90 120 150 180 210 240 270 300 330 360 0 30 90 120 150 180 210 240 270 300 330 360 Df (degrees) Df (degrees) KITP Collider Workshop February 17, 2004 60 Rick Field - Florida/CDF Page 46 “Associated” PTsum Density PYTHIA Tune A vs HERWIG For PTmaxT > 2.0 GeV both PYTHIA and HERWIG produce slightly too much “associated” PTsum in the direction of PTmaxT! PTmaxT > 2 GeV/c Associated PTsum Density: dPT/dhdf Associated PTsum Density: dPT/dhdf 10.0 Charged Particles (|h|<1.0, PT>0.5 GeV/c) PTmaxT not included Associated PTsum Density (GeV/c) Associated PTsum Density (GeV/c) 10.0 1.0 PTmaxT > 2.0 GeV/c Back-to-Back 30 < ET(jet#1) < 70 GeV PY Tune A CDF Preliminary PTmaxT data uncorrected theory + CDFSIM "Jet#1" Region 0.1 Charged Particles (|h|<1.0, PT>0.5 GeV/c) PTmaxT not included 1.0 PTmaxT > 2.0 GeV/c CDF Preliminary PTmaxT data uncorrected theory + CDFSIM "Jet#1" Region 0.1 0 30 60 90 120 150 180 210 240 270 300 330 360 0 30 60 90 120 Df (degrees) CDF Preliminary 240 270 300 330 360 Data - Theory PTmaxT 0 Charged Particles (|h|<1.0, PT>0.5 GeV/c) "Jet#1" Region PTmaxT > 2.0 GeV/c (not included) Back-to-Back 30 < ET(jet#1) < 70 GeV HERWIG data uncorrected theory + CDFSIM -1 Charged Particles (|h|<1.0, PT>0.5 GeV/c) 210 Data - Theory: Associated Particle Density dN/dhdf 1 0.0 -1.0 180 2 PYTHIA Tune A theory + CDFSIM 1.0 150 Df (degrees) But HERWIG (without multiple Data - Theory: Associated Particleinteractions) Density dN/dhdf parton produces too few particles in the Back-to-Back CDF Preliminary direction opposite of PTmaxT! 30 < ET(jet#1) < 70 GeV data uncorrected 2.0 Data - Theory Back-to-Back 30 < ET(jet#1) < 70 GeV HERWIG PTmaxT "Jet#1" Region PTmaxT > 2.0 GeV/c (not included) -2.0 -2 0 30 60 90 120 150 180 210 240 270 300 330 360 0 30 Df (degrees) KITP Collider Workshop February 17, 2004 60 90 120 150 180 210 240 270 300 330 360 Df (degrees) Rick Field - Florida/CDF Page 48 “Transverse 1” Region vs “Transverse 2” Region Jet #1 Direction Df Jet #1 Direction “Toward” “Trans 1” “Trans 2” “Away” “Back-to-Back” Jet #1 Direction Df “Toward” “Trans 1” "Transverse 1" vs "Transverse 2" 3.5 1.8 “Trans 2” "Transverse "Transverse 2" <PT> 2" Nchg (GeV/c) “Leading Jet” CDF CDFRun Run22Preliminary Preliminary 3030< <ET(jet#1) ET(jet#1)< <7070GeV GeV Df 3.0 1.6 data datauncorrected uncorrected 2.5 1.4 Leading Jet Leading Jet 1.96 TeV “Toward” 2.0 1.2 “Trans1.51” “Trans 2” 1.96 TeV 1.0 1.0 Back-to-Back Back-to-Back Charged ChargedParticles Particles(|h|<1.0, (|h|<1.0,PT>0.5 PT>0.5GeV/c) GeV/c) “Away” 0.5 0.8 0 2 4 6 8 10 12 14 "Transverse 1" Nchg “Away” Jet #2 Direction Use the leading jet to define two “transverse” regions and look at the correlations between “transverse 1” and “transverse 2”. Shows the average of charged particles the “transverse 2” region average number pT of charged particles in thein“transverse 2” region versusversus the the number of charged particles in the “transverse 1” region for pTT > 0.5 GeV/c and |h| < 1 for “Leading Jet” and “Back-to-Back” events. KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 49 “Transverse 1” Region vs “Transverse 2” Region "Transverse 1" vs "Transverse 2" "Transverse 1" vs "Transverse 2" 3.5 3.0 "Transverse 2" Nchg 3.0 data uncorrected theory + CDFSIM Leading Jet 30 < ET(jet#1) < 70 GeV CDF Run 2 Preliminary "Transverse 2" Nchg CDF Run 2 Preliminary PY Tune A 2.5 1.96 TeV 2.0 HW 1.5 data uncorrected theory + CDFSIM 2.5 PY Tune A 2.0 1.5 HW 1.0 1.0 Charged Particles (|h|<1.0, PT>0.5 GeV/c) Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.5 0.5 0 2 4 6 8 10 12 14 0 2 4 "Transverse 1" Nchg 6 8 10 12 "Transverse 1" Nchg "Transverse 1" vs "Transverse 2" "Transverse 1" vs "Transverse 2" 1.8 1.50 CDF Run 2 Preliminary data uncorrected theory + CDFSIM 1.6 PY Tune A 1.96 TeV 1.4 Leading Jet 30 < ET(jet#1) < 70 GeV "Transverse 2" <PT> (GeV/c) "Transverse 2" <PT> (GeV/c) Back-to-Back 30 < ET(jet#1) < 70 GeV 1.2 HW 1.0 Charged Particles (|h|<1.0, PT>0.5 GeV/c) CDF Run 2 Preliminary data uncorrected theory + CDFSIM 1.25 Back-to-Back 30 < ET(jet#1) < 70 GeV 1.00 PY Tune A 0.75 HW Charged Particles (|h|<1.0, PT>0.5 GeV/c) 0.8 0.50 0 2 4 6 8 10 12 14 0 "Transverse 1" Nchg KITP Collider Workshop February 17, 2004 2 4 6 8 10 12 "Transverse 1" Nchg Rick Field - Florida/CDF Page 50 Summary Jet #1 Direction “Leading Jet” Df Jet #1 Direction “Back-to-Back” “Toward” “Toward” “Trans 1” Df “Trans 1” “Trans 2” “Trans 2” “Away” “Away” Jet #2 Direction There are some interesting correlations between the “transverse 1” and “transverse 2” regions both for “Leading-Jet” and “Back-to-Back” events! PYTHIA Tune A (with multiple parton scattering) does a much better job in describing these correlations than does HERWIG (without multiple parton scattering). Question: Is this a probe of multiple parton interactions? KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 51 Summary “Leading Jet” Jet #1 Direction Jet #1 Direction Df “Back-to-Back” Df “Toward” “Toward” “Transverse” “Transverse” “Transverse” “Transverse” “Away” “Away” Jet #2 Direction “Back-to-Back” events have less “hard scattering” (initial and final state radiation) component in the “transverse” region which allows for a closer look at the “beam-beam remnant” and multiple parton scattering component of the “underlying” event. PYTHIA Tune A (with multiple parton scattering) does a much better job in describing the “back-to-back” events than does HERWIG (without multiple parton scattering). KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 52 Summary Max pT in the “transverse” region! “Associated” densities do not include PTmaxT! Jet #1 Direction Df PTmaxT Direction PTmax Direction Df “Toward” “TransMAX” “TransMIN” Jet#2 Region Df Jet#1 Region Next Step Correlations in f Look at the jet topologies Jet #2 Direction (2 jet vs 3 jet vs 4 jet etc). The “associated” densities strong correlations Seeshow if there is an excess of(i.e. jet structure) in the “transverse” region both for “Leading Jet” and “Back-to-Back” events. 4 jet events due to multiple interactions! The “birth” of the 1st jet inparton “min-bias” collisions looks very similar to the PTmaxT “Away” “birth” of the 3rd jet in the “transverse” region of hard scattering “Back-toBack” events. Question: Is the topology 3 jet or 4 jet? KITP Collider Workshop February 17, 2004 Rick Field - Florida/CDF Page 53