Changes between Version 1 and Version 2 of ElectroWeak
 Timestamp:
 03/20/12 16:04:32 (7 years ago)
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ElectroWeak
v1 v2 19 19 * SU(2)_L x U(1)_Y : fermion representations and interactions. The problem of gauge boson masses and unitarity violation. 20 20 * Spontaneuous symmetery breaking (Goldstone theorem, Abelian Higgs model, Unitarity) 21 * SU(2)_L x U(1)_Y  >U(1)_EM21 * SU(2)_L x U(1)_Y > U(1)_EM 22 22 * Chiral Anomalies 23 23 … … 33 33 34 34 * 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. 36 36 * [http://arxiv.org/abs/0705.4264 The Standard Model of Electroweak interactions], by A. Pich. 37 37 * [http://www.people.fas.harvard.edu/~hgeorgi/weak.pdf][Weak Interactions], by Howard Georgi. … … 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 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).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 … … 82 82 Here 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 email to F.M. to get running access. 83 83 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 DrellYan] : 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 DrellYan] : 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.