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Physics 880.02 -- Winter 1997

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*General Information about Physics 880.02

Course title:
Physics 880.02: Particle Physics
Texts:
Quarks and Leptons by Halzen and Martin
Topics to be covered: 
  Last term:
    Symmetries
      C, P and T
      Isospin, SU(3), SU(6)
    Hadrons
      Constituent Quark Model
      Quark Parton Model
      Deep Inelastic Scattering

  This term:
    Fermi Theory, V-A, PCAC, CVC etc.
    Detectors
    GSW Standard Model
Meeting Schedule:
Tuesday and Thursday, 4.30pm - 6pm
Smith 4079
Assigments:
Homework (every other week)
Final Project
Instructors:
Prof. Gregory Kilcup
office: 4048 Smith Lab
email: kilcup@mps.ohio-state.edu
phone: 292-3224 (office) or 297-1152 (home)

Prof. Harris Kagan
office: 2083 Smith Lab
email: kagan@mps.ohio-state.edu
phone: 292-2314 (office)

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Last Term's Final Project: Heavy flavor production

To calibrate your first programs you will need the "official" answer for the e+e- problems. Note that to have a useful event we need to have both muons in the detector.

Statement of the Problem

Compute the total and the visible cross-section for b-anti-b production at two future colliders. Compare the rate at Fermilab after its upgrade to that for the LHC. Take FNAL to have 1.0 TeV proton and anti-proton beams at the promised luminosity of 200. Take the LHC to deliver two 7.0 TeV proton beams at L=10000. Assume the detector sees all b-quarks aimed at it, and that it covers the region 20<theta<160 as before. Only count events where both quarks are detected.

Starting Point

You will need the parton distributions, as given in a subroutine of this Fortran code or this C code. The driver there just integrates the up and down distributions, verifying that these distributions are for a proton. The distributions are each given in terms of a set of six Q**2 dependent parameters. For efficiency you may prefer to extract these parameters (and the functional form) for the particular distributions you need. Or you may prefer to pick a set of bins in x-space and use the sample program to dump out a table.

[up-distribution plot goes here]        [glue-distribution plot goes here]

Sample valence up-quark and gluon distributions from this particular set are plotted above. Note the dependence on the scale (Q**2). To get sensible results, you should pick Q**2 to be typical of the process you are considering. You will also find it handy to have the QCD cross-sections, as available in this PS file. Note that these depend on Q**2 as well, in the form of alpha(Q**2). To be consistent you need to pick the same Q**2 here, and use the value Lamba = 231 MeV (which was used in determining the distributions).

Extensions

Aside from the straight comparison of the proton-proton and proton-antiproton machines, each group should pick some further direction to explore. These might include

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Lifetime of the Muon

A sample writeup can be found in this PostScript file. It was obtained using this TeX file, which also needs this figure and this style file, taken from a typical international HEP conference.

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Your comments and suggestions are appreciated.
[OSU Physics] [Math and Physical Sciences] [Ohio State University]
Physics 880.02. Created 6-Jan-97.
kilcup@mps.ohio-state.edu