Changes between Version 5 and Version 6 of ElectroWeak
 Timestamp:
 04/19/12 08:59:11 (8 years ago)
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ElectroWeak
v5 v6 56 56 57 57 * 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 currentcurrent 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 currentcurrent 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 $e^ + \nu_\mu \to \mu^ + \nu_e$. 61 61 62 62 * 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 nonlinearly 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 nonlinearly realized (=massive W,Z but not Higgs). 65 65 66 66 * 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. 69 69 70 70 II Part … … 85 85 * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/WAsymm DrellYan] : Study the rapidity asymmetry at the Tevatron. 86 86 * [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.