Changes between Version 1 and Version 2 of ElectroWeak


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Timestamp:
03/20/12 16:04:32 (6 years ago)
Author:
trac
Comment:

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  • ElectroWeak

    v1 v2  
    1919   * SU(2)_L x U(1)_Y : fermion representations and interactions. The problem of gauge boson masses and unitarity violation. 
    2020   * Spontaneuous symmetery breaking (Goldstone theorem, Abelian Higgs model, Unitarity) 
    21    * SU(2)_L x U(1)_Y -> U(1)_EM 
     21   * SU(2)_L x U(1)_Y -> U(1)_EM 
    2222   * Chiral Anomalies 
    2323 
     
    3333 
    3434   * Halzen and Martin 
    35    * [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/EWUCL/smcom.pdf An introduction to the SM], by Giovanni Ridolfi. 
     35   * [https://cp3.irmp.ucl.ac.be/projects/madgraph5/wiki/UCL/smcom.pdf An introduction to the SM], by Giovanni Ridolfi. 
    3636   * [http://arxiv.org/abs/0705.4264 The Standard Model of Electroweak interactions], by A. Pich. 
    3737   * [http://www.people.fas.harvard.edu/~hgeorgi/weak.pdf][Weak Interactions], by Howard Georgi. 
     
    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)  
    6363      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). 
     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 
     
    8282Here 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. 
    8383 
    84    * [http://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/SimpleKinematics Kinematics at the LHC]: single particle quantities. 
    85    * [http://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron. 
    86    * [http://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/HiggsPheno Higgs] : Higgs phenomenology at hadron colliders. 
    87    * [[http://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/X New resonances]: Discover new resonances at the LHC. 
     84   * [https://cp3.irmp.ucl.ac.be/projects/madgraph5/wiki/cs/SimpleKinematics Kinematics at the LHC]: single particle quantities. 
     85   * [https://cp3.irmp.ucl.ac.be/projects/madgraph5/wiki/cs/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron. 
     86   * [https://cp3.irmp.ucl.ac.be/projects/madgraph5/wiki/cs/HiggsPheno Higgs] : Higgs phenomenology at hadron colliders. 
     87   * [[https://cp3.irmp.ucl.ac.be/projects/madgraph5/wiki/cs/X New resonances]: Discover new resonances at the LHC.