Version 1 (modified by trac, 7 years ago) (diff) |
---|
Drell-Yan at the Tevatron and the LHC
1.
Calculate analytically the tree-level decay rate of the W boson to leptons. The formula for the decay rate is given by
where %% denotes the matrix element describing the decay, %% is the mass of the decaying particle and %% is the two-particle phase space measure.
You may also have a look at the following Mathematica notebook.
2.
The partonic cross-section near the resonance is described by the Breit-Wigner formula:
where %%, %% and %% denote the partial and total decay rates of the W (See Exercise 1.), and %% denotes the partonic center of mass energy.\ In the limit where %%, we can use the narrow width approximation for the cross-section. Use
to derive the expression of the cross-section in the narrow width approximation.
Fold the partonic cross-section with PDF's to obtain the full cross-section for Drell-Yan production at Tevatron,
w here %% and %% denote the PDF's of the %% and %% quarks inside the proton. For this exercise we choose %%
You may also have a look at the following Mathematica notebook.
3.
Use Madgraph/MadEvent to generate %% at the Tevatron and the LHC. Compare the cross sections and indentify the qualititative differences.
4.
Consider the rapidity asymmetry %% for %% production at the Tevatron. defined as:
Give an estimate of such asymmetry and show that it is proportional to the slope of %% evaluated at %%. Plot the rapidity distributions of the the charged leptons coming from %% decays at the Tevatron.
5.
Is it possible to define an asymmetry at the LHC too?
Attachments (26)
- latex846e53db94b32290a39dce4a30385688.png (1.9 KB) - added by anonymous 7 years ago.
- WDecay.nb (14.5 KB) - added by anonymous 7 years ago.
- latex906d1d5044767fbb6a4b311a3509167c.png (216 bytes) - added by anonymous 7 years ago.
- latexbadf11c55a24dd889a9c699cc1494916.png (1.7 KB) - added by anonymous 7 years ago.
- latexb2a890a7fcef0af02351302a6e16c993.png (851 bytes) - added by anonymous 7 years ago.
- latex5ffbd4a307a71e4f78ac2997e74082ce.png (253 bytes) - added by anonymous 7 years ago.
- latexcae9f664b7dc016a7968e4c86d6851f9.png (198 bytes) - added by anonymous 7 years ago.
- latexfecc8aa54213936e7e6801180bd49a81.png (457 bytes) - added by anonymous 7 years ago.
- latexd3b5669b573453274bd97702e93b15b4.png (208 bytes) - added by anonymous 7 years ago.
- latex1567c9d22b4f8e0ddf543443e586f508.png (221 bytes) - added by anonymous 7 years ago.
- latex67d9c11097ea2f501d5ffc4d97e4884a.png (915 bytes) - added by anonymous 7 years ago.
- latexa7747affc2d2dfa297e072093114d263.png (1.0 KB) - added by anonymous 7 years ago.
- latexde4d4998d1c64d05f537017403af5e7c.png (291 bytes) - added by anonymous 7 years ago.
- latex1aa1337b971facee4cc8e3f4fe21098b.png (534 bytes) - added by anonymous 7 years ago.
- latex64437a5eae6f4990e73aea6b8fdd77b2.png (272 bytes) - added by anonymous 7 years ago.
- latexff97e2e5da3adf704f0cd6aa16120fcb.png (570 bytes) - added by anonymous 7 years ago.
- latexdafc7ddffc0d8b47bc08a4ae8fae9fc9.png (402 bytes) - added by anonymous 7 years ago.
- latex77a404fe3a5e09a554b2f1e3c7cb7ebd.png (895 bytes) - added by anonymous 7 years ago.
- latexd68090aaef992ff470d415ca824430c0.png (271 bytes) - added by anonymous 7 years ago.
- latexa74ca30bfc0b3677f13a70930e7c7360.png (150 bytes) - added by anonymous 7 years ago.
- latex372e3b4c244b956851fff933d2125548.png (332 bytes) - added by anonymous 7 years ago.
- DYNarrowWidth.nb (14.6 KB) - added by anonymous 7 years ago.
- latex85bd073ac71ac5f697b873c526df68e9.png (322 bytes) - added by anonymous 7 years ago.
- latex8e35b21a8b597990a3bf435f49c714d6.png (249 bytes) - added by anonymous 7 years ago.
- WDecay.2.nb (14.5 KB) - added by trac 7 years ago.
- DYNarrowWidth.2.nb (14.6 KB) - added by trac 7 years ago.
Download all attachments as: .zip