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Advanced Particle Physics

Advanced Particle Physics. FK8022. David Milstead Thomas Schwetz -Mangold. Course aims. Breadth B uild on Particle Physics 1 (FK7003) More complete and up-to-date treatment of collider and non- collider physics . Depth

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Advanced Particle Physics

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  1. AdvancedParticlePhysics FK8022 David Milstead Thomas Schwetz-Mangold

  2. Course aims • Breadth • Build on ParticlePhysics 1 (FK7003) • Morecomplete and up-to-date treatmentofcollider and non-colliderphysics. • Depth • Provide short derivations for phenomenaratherthan hand-wavingexplanations as in PP1-level courses. • Derivations not always the mostrigorousbutare start-to-finish and chosen to be pedagogically excellent. • Demystifyimportantresultsthatwetake for grantedbutareoftenpoorlyunderstood. EgSU(3) , hadronmultiplets, renormalisation etc.

  3. Lectureoutline

  4. Books • No singlebookpossible. • Handouts to be given whereappropriate. • Lecturesbased on: • D. Green, Lectures on ParticlePhysics, World Scientific. • Griffiths, IntroductiontoElementaryParticles, Wiley. • Perkins, IntroductiontoHigh Energy Physics, Addison-Wesley • Halzen and Martin, Quarks and Leptons, Wiley • Articles in the Arxiv.

  5. Inlämningsuppgifter • 3-4 inlämningsuppgifter. • A typical solution does not require a page ofmathematics. • Somequestionsareopen-ended and requiresome research beyond the text books, egarxiv articles. • a physicistshould be ablewithin an hour or so tofindappropriatesources and obtain a goodunderstanding (=1-2 pptslides) of the methodology and principles behindany experimental result in his/herfield.

  6. Inlämningsuppgifter • Volunteers (or groupsofvolunteers) invitedtogive a short presentations at the start of a lecturetocertainquestions. • Eg from inlämningsuppgift 1.

  7. Course homepage http://people.su.se/~milstead/teaching/2014/fk8022/course.html Only source for up-to-date information.

  8. Schedule http://www.fysik.su.se/~milstead/teaching/2014/fk8022/schedule.html Flexibilitytorescheduleifnecessarysinceweare a small group.

  9. Conceptsof the Standard Model: grouptheory FK8022, Lecture 1 Coretexts: Lectures on particlephysics, D. Green Electroweak interactions: An introductionto the physicsofquarks and leptons, P. Renton. Furtherreading: Introductiontohighenergyphysics, D. Perkins Introductiontoelementaryparticles, D. Griffiths

  10. Lecture 1 • Symmetriesare at the heartof the SM. • Twoimportantsymmetrygroups • SU(2),SU(3) • Study in the frameworkof the strong force • Lecture plan: • First principle derivations/definitions ofSU(2)/SU(3) properties • Applications in • meson spectra • gluoncolour and multiplicity • attractive/repulsive QCD potentials

  11. Groups

  12. SU(2)

  13. SU(2)-rotations y spin-up spin-down z }

  14. SU(2)-algebra

  15. Combiningstates

  16. • 

  17. Different aspectsof the same thing Multipletsoforthogonalstatesafterangularmomentum addition Angularmomentumconservation Invarianceto a SU(2)transformation in physical space Ladder operators mapoutmultiplets All the resultscoveredarise from SU(2) invariance.

  18. SU(2)-isospin

  19. Meson isospinmultiplets I3 p- p0 p+

  20. SU(2)isospin

  21. Twoquarksthreequarks

  22. Scalar meson multiplets inSU(3)

  23. Chargedscalar meson states in SU(3)

  24. Neutral scalar meson states in SU(3) Neutral states

  25. Neutral states • 

  26. Scalar meson multiplets in SU(3)

  27. SU(3)-flavoursymmetry

  28. SU(3)-flavoursymmetry octet singlet

  29. Conservedquantities in SU(3)

  30. SU(3) flavour

  31. Gluoncolour and multiplicity Not used in nature!

  32. Hadroncolour Not used in nature!

  33. QED vs QCD potentials g b b

  34. QCD couplings = + b b b b b b

  35. Other QCD potentials

  36. Summary • Concepts and mathematicsofSU(2) and SU(3)symmetryoutlined. • Studied in the contextof strong force symmetries: • isospin • flavour • colour • Applicationsofsymmetryreveal : • Hadronmultiplicities and quarkcomposition • Gluonmultiplicityand colour • Meson wavefunction and binding

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