Delta R results
  Some plots that show problems with the bug in HERWIG.
  Delta R dependence on top mass.Delta R(tree level-Id=94). 
  Comparison of 3 top masses in HERWIG and M=178 in PYTHIA (nobug). 
  Difference between the 150 and 200 GeV masses is clearly visible.
Delta E(tree level-ID=94)
 Plots that show the effects of the HERWIG bug and what is expected
 for the no-bug case (PYTHIA). Evaluate if TF's need to be done up to the
 ID=94 level

 Difference in Energy for b quarks.Comparison of three HERWIG masses and PYTHIA.
 Mean Delta(E)=-1.62 GeV (rms=3.9) for PYTHIA, but distribution is
 narrower. After seeing the profile plots below, I suspect that the way we have
 calculated the ID=94 quantities in PYTHIA is not accurate.

 Delta E as above, new scale. Mean
 Delta(E)=-1.37 GeV, rms=8.0 for HERWIG(with bug). 
 The 150 GeV top mass is less shifted than the 200 GeV.
 
 *1Delta Eb (tree-bpj) for HERWIG w/o bug and PYTHIA
 Mean Delta(E)=-0.83 GeV (rms=2.16) for HERWIG(no bug).
 Mean Delta(E)=-1.37 GeV (rms=8.00) for HERWIG(with bug).
 Mean Delta(E)=-1.62 GeV (rms=1.91) for PYTHIA

 Delta Eb-vs-E_b at tree level Profile plots.
 Comparison of three HERWIG masses and PYTHIA. There is a 2-3 GeV 
 difference between the shift at M(top)=150 and 200 GeV!!

 *2Delta E for b-vs-E_b at tree level Profile plots.
 Comparison of HERWIG and PYTHIA for M=178 and HERWIG(no bug) M=175. 
 PYTHIA drops fast below 60 GeV and it has some points
 below DE < -20 GeV! I suspect that probably the way we faked the
 ID=94 in PYTHIA is not accurate for low PT b's. HERWIG with bug fixed
 has less shift than PYTHIA at all DE's 
Resolutions: Delta Eb(tree-bsim) and (Id=94-simulated jets)
 *3Delta Eb(tree)-vs-E(bsim), Eb0-Eb1,Eb1-Esim at L7
 Plots of DE for bottom: E0-Esim, E(ID=94)-Esim, E0-E(Id=94) L7 corrections. All are HERWIG(no bug).
 Mean Delta(E)=-0.83 GeV (rms=2.16) for dE(tree-ID=94).
 Mean Delta(E)= 5.77 GeV (rms=15.9) for dE(Id=94-bsim).
 Mean Delta(E)= 5.27 GeV (rms=15.7) for dE(tree-bsim).
 *4Delta Eb(tree)-vs-E(bsim), Eb0-Eb1,Eb1-Esim at L5
 Plots of DE for bottom: E0-Esim, E(ID=94)-Esim, E0-E(Id=94) L5 corrections.
 Mean Delta(E)=-0.83 GeV (rms=2.16) for dE(tree-ID=94).
 Mean Delta(E)= 9.30 GeV (rms=15.4) for dE(Id=94-bsim).
 Mean Delta(E)= 8.86 GeV (rms=15.3) for dE(tree-bsim).
 *5Delta Eb(tree)-vs-E(bsim),6 bins in E_b0 at L7
 rms can be read on the plots; goes from 10.82 GeV to 18.96 GeV for
 E_b0>120 GeV.