# Changes between Version 5 and Version 6 of ElectroWeak

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

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Unmodified
 v5 * Fermi effective field theory of weak interactions 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 $\pi \to \ell \nu_\ell$. 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. 1 Calculate the scattering amplitude for $e^- + \nu_\mu \to \mu^- + \nu_e$. 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 $\pi \to \ell \nu_\ell$. 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. 1. Calculate the scattering amplitude for $e^- + \nu_\mu \to \mu^- + \nu_e$. * EW interactions : SU(2) x U(1) 1 Derive the Feynman rules for the self interactions of the W,Z,photons. 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). 1. Derive the Feynman rules for the self interactions of the W,Z,photons. 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). * Higgs mechanism 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. 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. 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. 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. II Part * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron. * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/HiggsPheno Higgs] : Higgs phenomenology at hadron colliders. * [[https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/X New resonances]: Discover new resonances at the LHC. * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/X New resonances]: Discover new resonances at the LHC.