Changes between Version 1 and Version 2 of EWUCL


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Timestamp:
04/06/12 16:33:02 (7 years ago)
Author:
trac
Comment:

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  • EWUCL

    v1 v2  
    2121   * SU(2)''L x U(1)''Y : fermion representations and interactions. The problem of gauge boson masses and unitarity violation.
    2222   * Spontaneuous symmetery breaking (Goldstone theorem, Abelian Higgs model, Unitarity)
    23    * SU(2)''L x U(1)''Y -> U(1)_EM
     23   * SU(2)''L x U(1)''Y -> U(1)_EM
    2424   * Chiral Anomalies
    2525
     
    5858
    5959   * Fermi effective field theory of weak interactions
    60       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 $%.
    61       1. Consider the %$\mu^- \to e^- {\bar \nu_{e}} \nu_\mu$%. Calculate %$||M||^2$% using the Fierz trick (problem 3.6 of [P&S]) to turn the matrix element squared into a single trace. Consider the decay of a polarized muon. Find the angular distribution of the outcoming electron.
    62       1. Calculate the scattering amplitude for %$e^- + \nu_\mu \to \mu^- + \nu_e$%.
     60      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 $.
     61      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.
     62      1. Calculate the scattering amplitude for $e^- + \nu_\mu \to \mu^- + \nu_e$.
    6363
    6464   * EW interactions : SU(2) x U(1)
    6565      1. Derive the Feynman rules for the self interactions of the W,Z,photons.
    66       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).
     66      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).
    6767
    6868   * Higgs mechanism
    69       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.
    70       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.
     69      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.
     70      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.
    7171
    7272II Part
     
    8484Here is a list of exercises that can be "solved" using Software.MadGraph. To do so register at http://madgraph.hep.uiuc.edu and send an e-mail to F.M. to get running access.
    8585
    86    * [:SimpleKinematics:Kinematics at the LHC]: single particle quantities.
    87    * [http://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron.
    88    * [:HiggsPheno:Higgs] : Higgs phenomenology at hadron colliders.
    89    * [:X:New resonances]: Discover new resonances at the LHC.
     86   * [wiki:SimpleKinematics Kinematics at the LHC]: single particle quantities.
     87   * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron.
     88   * [wiki:HiggsPheno Higgs] : Higgs phenomenology at hadron colliders.
     89   * [wiki:X New resonances]: Discover new resonances at the LHC.
    9090
    9191
     
    9696
    9797
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