Download Rehearsal questions

I NTRODUCTION
1. How are particles categorized by spin?
2. How are natural units defined?
3. Which are the four fundamental interactions in Nature?
4. Define a mathematical group.
5. What is an Abelian group?
6. How is a Lorentz transformation defined?
7. What are the C, P, T, and CP symmetries?
8. State the CPT theorem.
9. State Noether’s theorem
T HE QUARK MODEL , SCATTERING THEORIES AND F EYNMAN DIAGRAMS
1. What is a meson and baryon?
2. Describe the conventional notation of the spin of a meson.
3. Which values are possible for the spin of a meson?
4. What is meant by a particle being a pseudoscalar?
5. Define cross section and decay rate.
6. What is meant by the branching ratio?
D IRAC EQUATION AND QED
1. What type of particles are described by the Klein-Gordon equation? Is there any such
particle in the SM?
2. What type of particles are described by the Dirac equation?
3. How many Dirac matrices are there?
4. There are four solutions to the Dirac equations. What do they represent?
5. How many independent bilinears can be constructed?
6. What is the sum over polarizations for fermions and antifermions?
7. What are the main steps needed to go from the amplitude of a process to the cross
section?
8. What are tree level and loop level diagrams?
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G AUGE FIELD THEORIES AND QCD
1. What is the gauge group of the Standard Model?
2. What is a gauge theory?
3. What is the gauge group of QCD?
4. How many Gell-Mann matrices are there?
5. What is the QCD charge called?
6. Which are the mediators of QCD and how many are there?
W EAK INTERACTIONS AND GAUGE FIELD THEORIES
1. Why is the weak force weak?
2. What is the gauge group of the electroweak symmetry?
3. Which are the gauge bosons of the weak interaction?
4. Why do fermions transform differently (LH doublets, RH singlets) under the weak group?
5. Are there flavor changing neutral currents in the SM?
T HE H IGGS MECHANISM
1. What is meant by spontaneous symmetry breaking?
2. Why is the Higgs mechanism introduced?
3. Which symmetry is broken by the BEH (Brout-Englert-Higgs) mechanism?
4. Which low energy symmetries remain unbroken?
5. How do fermions acquire mass?
N EUTRINO PHYSICS
1. How is neutrino flavor defined? Which are the known neutrino flavors? Is neutrino
flavor conserved?
2. What is the solar neutrino problem? How was it solved?
3. How large are the neutrino mass differences? What is inverted and normal ordering?
4. Which parameters of the neutrino sector remain to be measured?
5. Why are neutrinos massless in the SM?
6. How can we tell if they are Dirac or Majorana?
7. What is the seesaw mechanism?
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