1. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 1 Monte Carlos for the LHC Rick Field University of Florida CDF Run 2 MC4LHC Tuning the Monte-Carlo Models and Extrapolations to the LHC Jet Production, Drell-Yan, Min-Bias

2. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 2 QCD Monte-Carlo Models: High Transverse Momentum Jets  Start with the perturbative 2-to-2 (or sometimes 2-to-3) parton-parton scattering and add initial and final- state gluon radiation (in the leading log approximation or modified leading log approximation). “Hard Scattering” Component “Underlying Event”  The “underlying event” consists of the “beam-beam remnants” and from particles arising from soft or semi-soft multiple parton interactions (MPI).  Of course the outgoing colored partons fragment into hadron “jet” and inevitably “underlying event” observables receive contributions from initial and final-state radiation. The “underlying event” is an unavoidable background to most collider observables and having good understand of it leads to more precise collider measurements!

3. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 3 Distribution of Particles in Jets  Ratio of charged hadron multiplicities in gluon and quark jets agrees with NNLLA  Gluon-Quark Ratio = 1.6  0.2  Momentum distribution of charged hadrons in jets well described by MLLA (A. Kortov and students)!  Dijet mass range 80-600 GeV  Cutoff Q eff = 230  40 MeV  N charged-hadrons /N partons = 0.56  0.10 CDF Run 1 Analysis Ratio = N g-jet / N q-jet Q = E jet   cone Both PYTHIA and HERWIG predict a Gluon-Quark Ratio that is smaller than the data! = ln(E jet /p particle ) CDF Distribution of Particles in Jets MLLA Curve!

4. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 4 Charged Multiplicity in Quark and Gluon Jets  CDF Run 1 data on the average charged particle multiplicities in gluon and quark jets versus Q = E jet ×  cone compared with NLLA, PYTHIA, and HERWIG.  HERWIG and PYTHIA correctly predict the charged multiplicity for gluon jets.  Both HERWIG and PYTHIA over-estimate the charged multiplicity in quark jets by ~30%! CDF Run 1 Analysis

5. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 5 Distribution of Particles in Quark and Gluon Jets  Momentum distribution of charged particles in gluon jets. HERWIG 5.6 predictions are in a good agreement with CDF data. PYTHIA 6.115 produces slightly more particles in the region around the peak of distribution. x = 0.37 0.14 0.05 0.02 0.007  Momentum distribution of charged particles in quark jets. Both HERWIG and PYTHIA produce more particles in the central region of distribution. p chg = 2 GeV/c Both PYTHIA and HERWIG predict more charged particles than the data for quark jets! CDF Run 1 Analysis

6. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 6  Look at charged particle correlations in the azimuthal angle  relative to the leading charged particle jet.  Define |  | 120 o as “Away”.  All three regions have the same size in  -  space,  x  = 2x120 o = 4  /3. Charged Particle  Correlations P T > 0.5 GeV/c |  | < 1 Look at the charged particle density in the “transverse” region! “Transverse” region very sensitive to the “underlying event”! CDF Run 1 Analysis Evolution of Charged Jets “Underlying Event”

7. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 7 Old PYTHIA default (more initial-state radiation) New PYTHIA default (less initial-state radiation) ParameterTune BTune A MSTP(81)11 MSTP(82)44 PARP(82)1.9 GeV2.0 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)1.00.9 PARP(86)1.00.95 PARP(89)1.8 TeV PARP(90)0.25 PARP(67)1.04.0 Old PYTHIA default (more initial-state radiation) New PYTHIA default (less initial-state radiation)  Plot shows the “transverse” charged particle density versus P T (chgjet#1) compared to the QCD hard scattering predictions of two tuned versions of PYTHIA 6.206 (CTEQ5L, Set B (PARP(67)=1) and Set A (PARP(67)=4)). Run 1 Analysis Run 1 PYTHIA Tune A PYTHIA 6.206 CTEQ5L CDF Default!

8. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 8  Shows the data on the average “transverse” charge particle density (|  | 0.5 GeV) as a function of the transverse momentum of the leading charged particle jet from Run 1.  Compares the Run 2 data (Min-Bias, JET20, JET50, JET70, JET100) with Run 1. The errors on the (uncorrected) Run 2 data include both statistical and correlated systematic uncertainties. Excellent agreement between Run 1 and 2! PYTHIA Tune A was tuned to fit the “underlying event” in Run I!  Shows the prediction of PYTHIA Tune A at 1.96 TeV after detector simulation (i.e. after CDFSIM). “Transverse” Charged Particle Density “Transverse” region as defined by the leading “charged particle jet”

9. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 9 Charged Multiplicity in Charged Particle Jets  Plot shows the average number of charged particles (p T > 0.5 GeV, |  | < 1) within the leading charged particle jet (R = 0.7) as a function of the P T of the leading charged jet. The solid (open) points are Min-Bias (JET20) data. The errors on the (uncorrected) data include both statistical and correlated systematic uncertainties. The QCD “hard scattering” theory curves (Herwig 5.9, Isajet 7.32, Pythia 6.115) are corrected for the track finding efficiency. PYTHIA predict more charged particles than the data for charged jets! Includes charged particles from the “underlying event”! CDF Run 1 Analysis

10. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 10 Run 1 Fragmentation Function  CDF Run 1 data from on the momentum distribution of charged particles (p T > 0.5 GeV and |  | 5 GeV compared with the QCD “hard scattering” Monte-Carlo predictions of HERWIG, ISAJET, and PYTHIA. The points are the charged number density, F(z) = dN chg /dz, where z = p chg /P(chgjet#1) is the ratio of the charged particle momentum to the charged momentum of chgjet#1. CDF Run 1 Analysis PYTHIA does not agree at high z!

11. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 11 Run 1 Fragmentation Function  Data from Fig. 3.8 on the momentum distribution of charged particles (p T > 0.5 GeV and |  | 30 GeV compared with the QCD “hard scattering” Monte-Carlo predictions of HERWIG, ISAJET, and PYTHIA. The points are the charged number density, F(z) =dNchg/dz, where z = p chg /P(chgjet#1) is the ratio of the charged particle momentum to the charged momentum of chgjet#1. CDF Run 1 Analysis PYTHIA does not agree at high z!

12. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 12 Fragmentation Summary  Neither HERWIG or PYTHIA describe precisely the distribution charged particles in quark and gluon jets at the Tevatron!  To learn about the fragmentation function at large z we should compare the inclusive “jet” cross-section to the inclusive charged particle cross section!  We have events with 600 GeV “jets” so we must have events with 300 GeV/c charged particles! Was this measured in Run 1?  A lot of work has been done in comparing to analytic MLLA calculations (Korytov and students), but more work needs to be done in improving the fragmentation models in HERWIG and PYTHIA!  I wish I could show you the following:  CDF measured fragmentation functions at different Q 2 compared with PYTHIA and HERWIG.  The k T distribution of charged particles within “jets” compared with PYTHIA and HERWIG.  The ratio of the inclusive charged particle cross-section to the inclusive “jet” cross-section compared with PYTHIA and HERWIG. In 1 fb -1 we have thousands of charged tracks with p T > 100 GeV/c! Sergo “blessing” this in the QCD group last week! Charged Particle k T Distribution in Jets Shape Comparison Only

13. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 13  Look at charged particle correlations in the azimuthal angle  relative to the leading calorimeter jet (JetClu R = 0.7, |  | < 2).  Define |  | 120 o as “Away”. Each of the two “transverse” regions have area  = 2x60 o = 4  /6. The overall “transverse” region is the sum of the two transverse regions (  = 2x120 o = 4  /3). Charged Particle  Correlations p T > 0.5 GeV/c |  | < 1 “Transverse” region is very sensitive to the “underlying event”! Look at the charged particle density in the “transverse” region! The “Transverse” Regions as defined by the Leading Jet

14. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 14  Look at the “transverse” region as defined by the leading jet (JetClu R = 0.7, |  | 150 o ) with almost equal transverse energies (E T (jet#2)/E T (jet#1) > 0.8) and with E T (jet#3) < 15 GeV.  Shows the  dependence of the charged particle density, dN chg /d  d , for charged particles in the range p T > 0.5 GeV/c and |  | < 1 relative to jet#1 (rotated to 270 o ) for 30 < E T (jet#1) < 70 GeV for “Leading Jet” and “Back-to-Back” events. Refer to this as a “Leading Jet” event Refer to this as a “Back-to-Back” event Subset Charged Particle Density  Dependence

15. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 15  Shows the average charged PTsum density, dPT sum /d  d , in the “transverse” region (p T > 0.5 GeV/c, |  | < 1) versus E T (jet#1) for “Leading Jet” and “Back-to-Back” events. “Leading Jet” “Back-to-Back” Min-Bias 0.24 GeV/c per unit  -   Compares the (uncorrected) data with PYTHIA Tune A and HERWIG (without MPI) after CDFSIM. Hard Radiation! “Transverse” PTsum Density vs E T (jet#1)

16. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 16 Latest CDF Run 2 “Underlying Event” Results  Two Classes of Events: “Leading Jet” and “Back-to-Back”.  Two “Transverse” regions: “transMAX”, “transMIN”, “transDIF”.  Data Corrected to the Particle Level: unlike our previous CDF Run 2 “underlying event” analysis which used JetClu to define “jets” and compared uncorrected data with the QCD Monte-Carlo models after detector simulation, this analysis uses the MidPoint jet algorithm and corrects the observables to the particle level. The corrected observables are then compared with the QCD Monde-Carlo models at the particle level.  For the 1 st time we study the energy density in the “transverse” region. The “underlying event” consists of the “beam-beam remnants” and possible multiple parton interactions, but inevitably received contributions from initial and final-state radiation. Latest CDF Run 2 Results ( L = 385 pb -1 ) : “Transverse” region is very sensitive to the “underlying event”!

17. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 17 “TransMAX/MIN” PTsum Density PYTHIA Tune A vs HERWIG  Shows the charged particle PTsum density, dPT sum /d  d , in the “transMAX” and “transMIN” region (p T > 0.5 GeV/c, |  | < 1) versus P T (jet#1) for “Leading Jet” and “Back-to-Back” events.  Compares the (corrected) data with PYTHIA Tune A (with MPI) and HERWIG (without MPI) at the particle level. “Leading Jet” “Back-to-Back” PYTHIA Tune A does a fairly good job fitting the PTsum density in the “transverse” region! HERWIG does a poor job!

18. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 18  Shows the data on the tower ETsum density, dET sum /d  d , in the “transMAX” and “transMIN” region (E T > 100 MeV, |  | < 1) versus P T (jet#1) for “Leading Jet” and “Back-to-Back” events.  Compares the (corrected) data with PYTHIA Tune A (with MPI) and HERWIG (without MPI) at the particle level (all particles, |  | < 1). “Leading Jet” “Back-to-Back” Neither PY Tune A or HERWIG fits the ETsum density in the “transferse” region! HERWIG does slightly better than Tune A! “TransMAX/MIN” ETsum Density PYTHIA Tune A vs HERWIG

19. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 19 “transDIF” is more sensitive to the “hard scattering” component of the “underlying event”!  Use the leading jet to define the MAX and MIN “transverse” regions on an event-by- event basis with MAX (MIN) having the largest (smallest) charged PTsum density.  Shows the “transDIF” = MAX-MIN ETsum density, dET sum /d  d , for all particles (|  | < 1) versus P T (jet#1) for “Leading Jet” and “Back-to-Back” events. “Leading Jet” “Back-to-Back” “TransDIF” ETsum Density PYTHIA Tune A vs HERWIG

20. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 20 Possible Scenario??  PYTHIA Tune A fits the charged particle PTsum density for p T > 0.5 GeV/c, but it does not produce enough ETsum for towers with E T > 0.1 GeV.  It is possible that there is a sharp rise in the number of particles in the “underlying event” at low p T (i.e. p T < 0.5 GeV/c).  Perhaps there are two components, a vary “soft” beam-beam remnant component (Gaussian or exponential) and a “hard” multiple interaction component. Warning!? I am not sure I believe the data on the energy density. I am not convienced we are simulating correctly the “soft” energy in Calorimeter.

21. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 21 “TransMAX/MIN” ETsum Density PYTHIA Tune A vs JIMMY  Shows the ETsum density, dET sum /d  d , in the “transMAX” and “transMIN” region (all particles |  | < 1) versus P T (jet#1) for “Leading Jet” and “Back-to-Back” events.  Compares the (corrected) data with PYTHIA Tune A (with MPI) and a tuned version of JIMMY (with MPI, PTJIM = 3.25 GeV/c) at the particle level. “Leading Jet” “Back-to-Back” JIMMY was tuned to fit the energy density in the “transverse” region for “leading jet” events! JIMMY: MPI J. M. Butterworth J. R. Forshaw M. H. Seymour

22. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 22 “TransMAX/MIN” Nchg Density PYTHIA Tune A vs JIMMY  Shows the charged particle density, dN chg /d  d , in the “transMAX” and “transMIN” region (p T > 0.5 GeV/c, |  | < 1) versus P T (jet#1) for “Leading Jet” and “Back-to-Back” events.  Compares the (corrected) data with PYTHIA Tune A (with MPI) and a tuned version of JIMMY (with MPI, PTJIM = 3.25 GeV/c) at the particle level. “Leading Jet” “Back-to-Back”

23. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 23 “Transverse” PYTHIA Tune A vs JIMMY  Shows the charged particle in the “transverse” (p T > 0.5 GeV/c, |  | < 1) versus P T (jet#1) for “Leading Jet” and “Back-to-Back” events.  Compares the (corrected) data with PYTHIA Tune A (with MPI) and HERWIG and a tuned version of JIMMY (with MPI, PTJIM = 3.25 GeV/c) at the particle level. “Leading Jet” “Back-to-Back” Both JIMMY and HERWIG are too “soft” for p T > 0.5 GeV/c!

24. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 24 CDF Run 1 P T (Z)  Shows the Run 1 Z-boson p T distribution ( ≈ 11.5 GeV/c) compared with PYTHIA Tune A ( = 9.7 GeV/c), Tune A25 ( = 10.1 GeV/c), and Tune A50 ( = 11.2 GeV/c). ParameterTune ATune A25Tune A50 MSTP(81)111 MSTP(82)444 PARP(82)2.0 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)0.9 PARP(86)0.95 PARP(89)1.8 TeV PARP(90)0.25 PARP(67)4.0 MSTP(91)111 PARP(91)1.02.55.0 PARP(93)5.015.025.0 UE Parameters ISR Parameter Intrensic KT PYTHIA 6.2 CTEQ5L Vary the intrensic KT!

25. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 25 CDF Run 1 P T (Z)  Shows the Run 1 Z-boson p T distribution ( ≈ 11.5 GeV/c) compared with PYTHIA Tune A ( = 9.7 GeV/c), and PYTHIA Tune AW ( = 11.7 GeV/c). ParameterTune ATune AW MSTP(81)11 MSTP(82)44 PARP(82)2.0 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)0.9 PARP(86)0.95 PARP(89)1.8 TeV PARP(90)0.25 PARP(62)1.01.25 PARP(64)1.00.2 PARP(67)4.0 MSTP(91)11 PARP(91)1.02.1 PARP(93)5.015.0 The Q 2 = k T 2 in  s for space-like showers is scaled by PARP(64)! Effective Q cut-off, below which space-like showers are not evolved. UE Parameters ISR Parameters Intrensic KT PYTHIA 6.2 CTEQ5L Tune used by the CDF-EWK group! Also fits the high p T tail!

26. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 26 Jet-Jet Correlations (DØ) Jet#1-Jet#2  Distribution  Jet#1-Jet#2  MidPoint Cone Algorithm (R = 0.7, f merge = 0.5)  L = 150 pb -1 (Phys. Rev. Lett. 94 221801 (2005))  Data/NLO agreement good. Data/HERWIG agreement good.  Data/PYTHIA agreement good provided PARP(67) = 1.0→4.0 (i.e. like Tune A, best fit 2.5).

27. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 27 CDF Run 1 P T (Z)  Shows the Run 1 Z-boson p T distribution ( ≈ 11.5 GeV/c) compared with PYTHIA Tune DW, and HERWIG. ParameterTune DWTune AW MSTP(81)11 MSTP(82)44 PARP(82)1.9 GeV2.0 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)1.00.9 PARP(86)1.00.95 PARP(89)1.8 TeV PARP(90)0.25 PARP(62)1.25 PARP(64)0.2 PARP(67)2.54.0 MSTP(91)11 PARP(91)2.1 PARP(93)15.0 UE Parameters ISR Parameters Intrensic KT PYTHIA 6.2 CTEQ5L Tune DW has a lower value of PARP(67) and slightly more MPI! Tune DW uses D0’s perfered value of PARP(67)! Also fits the high p T tail!

28. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 28 “Transverse” Nchg Density  Shows the “transverse” charged particle density, dN/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for PYTHIA Tune A, Tune AW, Tune DW, Tune BW, and HERWIG (without MPI). ParameterTune AWTune DWTune BW MSTP(81)111 MSTP(82)444 PARP(82)2.0 GeV1.9 GeV1.8 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)0.91.0 PARP(86)0.951.0 PARP(89)1.8 TeV PARP(90)0.25 PARP(62)1.25 PARP(64)0.2 PARP(67)4.02.51.0 MSTP(91)111 PARP(91)2.5 2/5 PARP(93)15.0 UE Parameters ISR Parameter Intrensic KT PYTHIA 6.2 CTEQ5L  Shows the “transverse” charged particle density, dN/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune DW, ATLAS, and HERWIG (without MPI). Three different amounts of ISR! Three different amounts of MPI!

29. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 29 “Transverse” PTsum Density  Shows the “transverse” charged PTsum density, dPT/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for PYTHIA Tune A, Tune AW, Tune DW, Tune BW, and HERWIG (without MPI). PYTHIA 6.2 CTEQ5L  Shows the “transverse” charged PTsum density, dPT/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune DW, ATLAS, and HERWIG (without MPI). ParameterTune AWTune DWTune BW MSTP(81)111 MSTP(82)444 PARP(82)2.0 GeV1.9 GeV1.8 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)0.91.0 PARP(86)0.951.0 PARP(89)1.8 TeV PARP(90)0.25 PARP(62)1.25 PARP(64)0.2 PARP(67)4.02.51.0 MSTP(91)111 PARP(91)2.5 2/5 PARP(93)15.0 Three different amounts of MPI! Three different amounts of ISR! Intrensic KT ISR Parameter UE Parameters

30. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 30 PYTHIA 6.2 Tunes ParameterTune ATune DWTune DWTATLAS MSTP(81)1111 MSTP(82)4444 PARP(82)2.0 GeV1.9 GeV1.9409 GeV1.8 GeV PARP(83)0.5 PARP(84)0.4 0.5 PARP(85)0.91.0 0.33 PARP(86)0.951.0 0.66 PARP(89)1.8 TeV 1.96 TeV1.0 TeV PARP(90)0.25 0.16 PARP(62)1.01.25 1.0 PARP(64)1.00.2 1.0 PARP(67)4.02.5 1.0 MSTP(91)1111 PARP(91)1.02.1 1.0 PARP(93)5.015.0 5.0 PYTHIA 6.2 CTEQ5L  Shows the “transverse” charged particle density, dN/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune A, DW, ATLAS, and HERWIG (without MPI).  (MPI) at 1.96 TeV  (MPI) at 14 TeV Tune A309.7 mb484.0 mb Tune DW351.7 mb549.2 mb Tune DWT351.7 mb829.1 mb ATLAS324.5 mb768.0 mb  Shows the “transverse” charged PTsum density, dPT/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune A, DW, ATLAS, and HERWIG (without MPI).  Shows the “transverse” charged average p T, versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune A, DW, ATLAS, and HERWIG (without MPI). Identical to DW at 1.96 TeV but uses ATLAS extrapolation to the LHC! CDF Run 2 Data!

31. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 31 PYTHIA 6.2 Tunes ParameterTune ATune DWTune DWTATLAS MSTP(81)1111 MSTP(82)4444 PARP(82)2.0 GeV1.9 GeV1.9409 GeV1.8 GeV PARP(83)0.5 PARP(84)0.4 0.5 PARP(85)0.91.0 0.33 PARP(86)0.951.0 0.66 PARP(89)1.8 TeV 1.96 TeV1.0 TeV PARP(90)0.25 0.16 PARP(62)1.01.25 1.0 PARP(64)1.00.2 1.0 PARP(67)4.02.5 1.0 MSTP(91)1111 PARP(91)1.02.1 1.0 PARP(93)5.015.0 5.0 PYTHIA 6.2 CTEQ5L  Shows the “transverse” charged particle density, dN/d  d , versus P T (jet#1) for “leading jet” events at 14 TeV for Tune A, DW, ATLAS, and HERWIG (without MPI).  (MPI) at 1.96 TeV  (MPI) at 14 TeV Tune A309.7 mb484.0 mb Tune DW351.7 mb549.2 mb Tune DWT351.7 mb829.1 mb ATLAS324.5 mb768.0 mb  Shows the “transverse” charged PTsum density, dPT/d  d , versus P T (jet#1) for “leading jet” events at 14 TeV for Tune A, DW, ATLAS, and HERWIG (without MPI).  Shows the “transverse” charged average p T, versus P T (jet#1) for “leading jet” events at 14 TeV for Tune A, DW, ATLAS, and HERWIG (without MPI). Identical to DW at 1.96 TeV but uses ATLAS extrapolation to the LHC!

32. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 32 PYTHIA 6.2 Tunes ParameterTune ATune DWTune QW PDFCTEQ5L CTEQ6.1 MSTP(81)111 MSTP(82)444 PARP(82)2.0 GeV1.9 GeV1.1 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)0.91.0 PARP(86)0.951.0 PARP(89)1.8 TeV PARP(90)0.25 PARP(62)1.01.25 PARP(64)1.00.2 PARP(67)4.02.5 MSTP(91)111 PARP(91)1.02.1 PARP(93)5.015.0 PYTHIA 6.2  Shows the “transverse” charged particle density, dN/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune A, DW, and Tune QW (CTEQ6.1M).  (MPI) at 1.96 TeV  (MPI) at 14 TeV Tune A309.7 mb484.0 mb Tune DW351.7 mb549.2 mb Tune QW296.5 mb568.7 mb  Shows the “transverse” charged PTsum density, dPT/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune A, DW, and Tune QW (CTEQ6.1M). Uses LO  s with  = 192 MeV!

33. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 33 ParameterTune ATune DWTune DWTTune QW PDFCTEQ5L CTEQ6.1 MSTP(81)1111 MSTP(82)4444 PARP(82)2.0 GeV1.9 GeV1.9409 GeV1.1 GeV PARP(83)0.5 PARP(84)0.4 PARP(85)0.91.0 PARP(86)0.951.0 PARP(89)1.8 TeV 1.96 TeV1.8 TeV PARP(90)0.25 0.160.25 PARP(62)1.01.25 PARP(64)1.00.2 PARP(67)4.02.5 MSTP(91)1111 PARP(91)1.02.1 PARP(93)5.015.0 PYTHIA 6.2 Tunes PYTHIA 6.2  Shows the “transverse” charged particle density, dN/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune A, DW, and Tune QW (CTEQ6.1M).  (MPI) at 1.96 TeV  (MPI) at 14 TeV Tune A309.7 mb484.0 mb Tune DW351.7 mb549.2 mb Tune DWT351.7 mb829.1 mb Tune QW296.5 mb568.7 mb  Shows the “transverse” charged PTsum density, dPT/d  d , versus P T (jet#1) for “leading jet” events at 1.96 TeV for Tune A, DW, and Tune QW (CTEQ6.1M). Uses LO  s with  = 192 MeV!

34. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 34 MIT Search Scheme 12 Exclusive 3 Jet Final State Challenge Bruce KnutesonMarkus Klute Khaldoun Makhoul Georgios Choudalakis Ray Culbertson Conor Henderson Gene Flanagan Exactly 3 jets (P T > 20 GeV/c, |  | < 2.5) At least 1 Jet (“trigger” jet) (P T > 40 GeV/c, |  | < 1.0) CDF Data PYTHIA Tune A Normalized to 1 Order Jets by P T Jet1 highest P T, etc. R(j2,j3)

35. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 35 3Jexc R(j2,j3) Normalized  Let Ntrig40 equal the number of events with at least one jet with P T > 40 geV and |  | < 1.0 (this is the “offline” trigger).  Let N3Jexc20 equal the number of events with exactly three jets with P T > 20 GeV/c and |  | 40 GeV/c and |  | < 1.0.  Let N3JexcFr = N3Jexc20/Ntrig40. The is the fraction of the “offline” trigger events that are exclusive 3-jet events.  The CDF data on dN/dR(j2,j3) at 1.96 TeV compared with PYTHIA Tune AW (PARP(67)=4), Tune DW (PARP(67)=2.5), Tune BW (PARP(67)=1).  PARP(67) affects the initial-state radiation which contributes primarily to the region R(j2,j3) > 1.0. Normalized to N3JexcFr R > 1.0 The data have more 3 jet events with small R(j2,j3)!?

36. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 36 3Jexc R(j2,j3) Normalized  Let Ntrig40 equal the number of events with at least one jet with P T > 40 geV and |  | < 1.0 (this is the “offline” trigger).  Let N3Jexc20 equal the number of events with exactly three jets with P T > 20 GeV/c and |  | 40 GeV/c and |  | < 1.0.  Let N3JexcFr = N3Jexc20/Ntrig40. The is the fraction of the “offline” trigger events that are exclusive 3-jet events.  The CDF data on dN/dR(j2,j3) at 1.96 TeV compared with PYTHIA Tune DW (PARP(67)=2.5) and HERWIG (without MPI).  Final-State radiation contributes to the region R(j2,j3) < 1.0. Normalized to N3JexcFr  If you ignore the normalization and normalize all the distributions to one then the data prefer Tune BW, but I believe this is misleading. R < 1.0 I do not understand the excess number of events with R(j2,j3) < 1.0. Perhaps this is related to the “soft energy” problem?? For now the best tune is PYTHIA Tune DW.

37. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 37 QCD Monte-Carlo Models: Lepton-Pair Production  Start with the perturbative Drell-Yan muon pair production and add initial-state gluon radiation (in the leading log approximation or modified leading log approximation). “Hard Scattering” Component “Underlying Event”  The “underlying event” consists of the “beam-beam remnants” and from particles arising from soft or semi-soft multiple parton interactions (MPI).  Of course the outgoing colored partons fragment into hadron “jet” and inevitably “underlying event” observables receive contributions from initial and final-state radiation.

38. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 38 The “Central” Region in Drell-Yan Production  Look at the “central” region after removing the lepton-pair.  Study the charged particles (p T > 0.5 GeV/c, |  | < 1) and form the charged particle density, dNchg/d  d , and the charged scalar p T sum density, dPTsum/d  d , by dividing by the area in  -  space. Charged Particles (p T > 0.5 GeV/c, |  | < 1) After removing the lepton- pair everything else is the “underlying event”! Look at the charged particle density and the PT sum density in the “central” region!

39. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 39 Drell-Yan Production (Run 2 vs LHC)  Average Lepton-Pair transverse momentum at the Tevatron and the LHC for PYTHIA Tune DW and HERWIG ( without MPI ).  Shape of the Lepton-Pair p T distribution at the Z-boson mass at the Tevatron and the LHC for PYTHIA Tune DW and HERWIG ( without MPI ). Lepton-Pair Transverse Momentum Shapes of the p T (  +  - ) distribution at the Z-boson mass. is much larger at the LHC! Z

40. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 40 The “Underlying Event” in Drell-Yan Production  Charged particle density versus the lepton- pair invariant mass at 1.96 TeV for PYTHIA Tune AW and HERWIG ( without MPI ).  Charged particle density versus the lepton-pair invariant mass at 14 TeV for PYTHIA Tune AW and HERWIG ( without MPI ). The “Underlying Event” Charged particle density versus M(pair) “Underlying event” much more active at the LHC! HERWIG (without MPI) is much less active than PY Tune AW (with MPI)! Z Z

41. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 41 Extrapolations to the LHC: Drell-Yan Production  Average charged particle density versus the lepton-pair invariant mass at 1.96 TeV for PYTHIA Tune A, Tune AW, Tune BW, Tune DW and HERWIG ( without MPI ).  Average charged particle density versus the lepton-pair invariant mass at 14 TeV for PYTHIA Tune DW, Tune DWT, ATLAS and HERWIG ( without MPI ). The “Underlying Event” Charged particle density versus M(pair) Tune DW and DWT are identical at 1.96 TeV, but have different MPI energy dependence! Z Z  Average charged particle density versus the lepton-pair invariant mass at 1.96 TeV for PYTHIA Tune A, Tune DW, ATLAS and HERWIG ( without MPI ).

42. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 42 Extrapolations to the LHC: Drell-Yan Production  Average charged PTsum density versus the lepton-pair invariant mass at 1.96 TeV for PYTHIA Tune A, Tune AW, Tune BW, Tune DW and HERWIG ( without MPI ).  Average charged PTsum density versus the lepton-pair invariant mass at 14 TeV for PYTHIA Tune DW, Tune DWT, ATLAS, and HERWIG ( without MPI ). The “Underlying Event” Charged particle charged PTsum density versus M(pair) The ATLAS tune has a much “softer” distribution of charged particles than the CDF Run 2 Tunes! Z Z  Average charged PTsum density versus the lepton-pair invariant mass at 1.96 TeV for PYTHIA Tune A, DW, ATLAS, and HERWIG ( without MPI ).

43. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 43 Extrapolations to the LHC: Drell-Yan Production  Average charged particle density (p T > 0.5 GeV/c) versus the lepton-pair invariant mass at 14 TeV for PYTHIA Tune DW, Tune DWT, ATLAS and HERWIG ( without MPI ).  Average charged particle density (p T > 0.9 GeV/c) versus the lepton-pair invariant mass at 14 TeV for PYTHIA Tune DW, Tune DWT, ATLAS and HERWIG ( without MPI ). The “Underlying Event” Charged particle density versus M(pair) Charged Particles (|  | 0.5 GeV/c) Z Z Charged Particles (|  | 0.9 GeV/c) The ATLAS tune has a much “softer” distribution of charged particles than the CDF Run 2 Tunes!

44. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 44 Proton-AntiProton Collisions at the Tevatron  tot =  EL  SD   DD   HC 1.8 TeV: 78mb = 18mb + 9mb + (4-7)mb + (47-44)mb The CDF “Min-Bias” trigger picks up most of the “hard core” cross-section plus a small amount of single & double diffraction. The “hard core” component contains both “hard” and “soft” collisions. Beam-Beam Counters 3.2 < |  | < 5.9 CDF “Min-Bias” trigger 1 charged particle in forward BBC AND 1 charged particle in backward BBC  tot =  EL  IN

45. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 45 PYTHIA Tune A Min-Bias “Soft” + ”Hard”  PYTHIA regulates the perturbative 2-to-2 parton-parton cross sections with cut-off parameters which allows one to run with P T (hard) > 0. One can simulate both “hard” and “soft” collisions in one program.  The relative amount of “hard” versus “soft” depends on the cut-off and can be tuned. Tuned to fit the “underlying event”! 12% of “Min-Bias” events have P T (hard) > 5 GeV/c! 1% of “Min-Bias” events have P T (hard) > 10 GeV/c!  This PYTHIA fit predicts that 12% of all “Min-Bias” events are a result of a hard 2-to-2 parton-parton scattering with P T (hard) > 5 GeV/c (1% with P T (hard) > 10 GeV/c)! Lots of “hard” scattering in “Min-Bias”! PYTHIA Tune A CDF Run 2 Default

46. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 46  Shows the center-of-mass energy dependence of the charged particle density, dN chg /d  d  dP T, for “Min-Bias” collisions compared with PYTHIA Tune A with P T (hard) > 0.  PYTHIA Tune A predicts that 1% of all “Min-Bias” events at 1.8 TeV are a result of a hard 2-to-2 parton-parton scattering with P T (hard) > 10 GeV/c which increases to 12% at 14 TeV! 1% of “Min-Bias” events have P T (hard) > 10 GeV/c! 12% of “Min-Bias” events have P T (hard) > 10 GeV/c! LHC? PYTHIA Tune A LHC Min-Bias Predictions

47. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 47  PYTHIA Tune A and Tune DW predict about 6 charged particles per unit  at  = 0, while the ATLAS tune predicts around 9.  Shows the predictions of PYTHIA Tune A, Tune DW, Tune DWT, and the ATLAS tune for the charged particle density dN/d  and dN/dY at 14 TeV (all p T ).  PYTHIA Tune DWT is identical to Tune DW at 1.96 TeV, but extrapolates to the LHC using the ATLAS energy dependence. PYTHIA 6.2 Tunes LHC Min-Bias Predictions

48. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 48  The ATLAS tune has many more “soft” particles than does any of the CDF Tunes. The ATLAS tune has = 548 MeV/c while Tune A has = 641 MeV/c (100 MeV/c more per particle)!  Shows the predictions of PYTHIA Tune A, Tune DW, Tune DWT, and the ATLAS tune for the charged particle p T distribution at 14 TeV (|  | p T min (|  | < 1). PYTHIA 6.2 Tunes LHC Min-Bias Predictions

49. MC4LHC Workshop July 17-26, 2006 Rick Field – Florida/CDFPage 49  The ATLAS tune is “goofy”! It produces too many “soft” particles. The charged particle is too low and does not agree with the CDF Run 2 data. The ATLAS tune agrees with but not with at the Tevatron.  PYTHIA Tune DW is very similar to Tune A except that it fits the CDF P T (Z) distribution and it uses the DØ prefered value of PARP(67) = 2.5 (determined from the dijet  distribution).  PYTHIA Tune DWT is identical to Tune DW at 1.96 TeV but uses the ATLAS energy extrapolation to the LHC (i.e. PARP(90) = 0.16). Summary  PYTHIA Tune A does not produce enough “soft” energy in the “underlying event”! JIMMY 325 (PTJIM = 3.25 GeV/c) fits the energy in the “underlying event” but does so by producing too many particles (i.e. it is too soft). Tevatron LHC I am not sure I believe the data!? The ATLAS tune cannot be right because it does not fit the Tevatron data. Right now I like Tune DW. Probably no tune will fit the LHC data. That is why we plan to measure MB&UE at CMS and retune the Monte-Carlo models!