Changes between Version 5 and Version 6 of ElectroWeak


Ignore:
Timestamp:
04/19/12 08:59:11 (8 years ago)
Author:
md987
Comment:

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  • ElectroWeak

    v5 v6  
    5656
    5757   * Fermi effective field theory of weak interactions
    58       1 Consider the $ \pi \to \ell \nu_\ell $ decay. Calculate the decay rate in the case of a pseudoscalar current-current interaction. Determine the width for the decay of $\tau \to \pi \nu_\tau $ using as an input the experimental width of $\pi \to \ell \nu_\ell $.
    59       1 Consider the $\mu^- \to e^- {\bar \nu_{e}} \nu_\mu$. Calculate $|M|^2$ using the Fierz trick (problem 3.6 of [P&S]) to turn the matrix element squared into a single trace. Consider the decay of a polarized muon. Find the angular distribution of the outcoming electron.
    60       1 Calculate the scattering amplitude for $e^- + \nu_\mu \to \mu^- + \nu_e$.
     58      1. Consider the $ \pi \to \ell \nu_\ell $ decay. Calculate the decay rate in the case of a pseudoscalar current-current interaction. Determine the width for the decay of $\tau \to \pi \nu_\tau $ using as an input the experimental width of $\pi \to \ell \nu_\ell $.
     59      1. Consider the $\mu^- \to e^- {\bar \nu_{e}} \nu_\mu$. Calculate $|M|^2$ using the Fierz trick (problem 3.6 of [P&S]) to turn the matrix element squared into a single trace. Consider the decay of a polarized muon. Find the angular distribution of the outcoming electron.
     60      1. Calculate the scattering amplitude for $e^- + \nu_\mu \to \mu^- + \nu_e$.
    6161
    6262   * EW interactions : SU(2) x U(1)
    63       1 Derive the Feynman rules for the self interactions of the W,Z,photons.
    64       1 Calculate $W^+ W^- \to W^+ W^-$ scattering amplitude and its behaviour at high energy when the gauge symmetry is non-linearly realized (=massive W,Z but not Higgs).
     63      1. Derive the Feynman rules for the self interactions of the W,Z,photons.
     64      1. Calculate $W^+ W^- \to W^+ W^-$ scattering amplitude and its behaviour at high energy when the gauge symmetry is non-linearly realized (=massive W,Z but not Higgs).
    6565
    6666   * Higgs mechanism
    67       1 Calculate the scattering $H \gamma \to H \gamma$ in the Abelian Higgs model. Verify that the Goldstone boson contribution is equivalent to the propagation of a massive photon in the internal lines.
    68       1 Check that the Higgs contribution in $W^+ W^- \to W^+ W^-$ is exactly what is needed to cancel the bad behaviour at high energy.
     67      1. Calculate the scattering $H \gamma \to H \gamma$ in the Abelian Higgs model. Verify that the Goldstone boson contribution is equivalent to the propagation of a massive photon in the internal lines.
     68      1. Check that the Higgs contribution in $W^+ W^- \to W^+ W^-$ is exactly what is needed to cancel the bad behaviour at high energy.
    6969
    7070II Part
     
    8585   * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron.
    8686   * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/HiggsPheno Higgs] : Higgs phenomenology at hadron colliders.
    87    * [[https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/X New resonances]: Discover new resonances at the LHC.
     87   * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/X New resonances]: Discover new resonances at the LHC.