Particle Physics Lectures Outline

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Subatomic Physics: Particle Physics Lectures Physics of the Large Hadron Collider (plus something about neutrino physics) 1 Particle Physics Lectures Outline 1 - Introduction The Standard Model of particle physics The fundamental particles and forces 2 - Practical Particle Physics 6 - Protons, Quarks and Strong Interactions Evidence for quarks and colour 4 - The LHC and colliders Particle acceleration Colliders 5 - Detecting particles Interactions of particles in matter The ATLAS Detector The Higgs mechanism 9 - Neutrinos and maybe some B-physics 10 - Beyond the Standard Model Supersymmetry Extra dimensions... Gluons, hadronisation Quark Confinement Measuring particle physics Running coupling constant Units, decays, scattering 7 - Weak Interactions Quantum numbers Muon and tau decay 3 - Quantum Electrodynamics (QED) Weak quark decays Anti-particles Quantum description of electromagnetism 8 - Electroweak and the Higgs boson W and Z bosons Feynman diagrams 2

Dr Victoria Martin Particle Physics and Me JCMB room 5419 victoria.martin@ed.ac.uk My research deals with Particle Physics at Colliders. I m currently involved with two projects: 1. The ATLAS experiment at the Large Hadron Collider. The LHC collides protons on protons at 14 TeV. 2. The international linear collider (ILC). Design is to collide electrons and positrons at 0.5-1 TeV (or more?) 3 Books etc In conjunction with attending the lectures you will need to read around the subject to fully understand the material. Most up to date: Level of this course: Particle Physics, by B.R. Martin & G. Shaw, 3rd edition (Wiley 2008) - 10 copies in JCM Library More advanced: Introduction to Elementary Particles by D. Griffiths, 2nd edition (Wiley 2008) - 4 copies in JCM Library Oldies (but goodies): Introduction to High Energy Physics - D.H. Perkins, 4th edition (CUP 2000) Quarks and Leptons F. Halzen & A.D. Martin (Wiley 1984) Further Resources: For more information that you could ever need on every particle ever: http://durpdg.dur.ac.uk/lbl/ Information about LHC and LHC physics: www.cern.ch www.atlas.ch 4

Subatomic Physics: Particle Physics Lecture 1 Our current understanding: The Standard Model of Particle Physics 5 From the Atom to Subatomic atom from introductory Subatomic slides nucleus protons & neutrons quarks & electrons }Nuclear Physics }Particle Physics 6

EF GCH 7 EF GHI 7 EF GJ 7 EF I 7 History of the Universe EF IK&' L EF EH&' L EF M&' L 5%#6,"7,&$',7&/8"')$8& 7)9,"(-7/&#%(+-/#'% :'7/&#%(+-/#'%&; 7')9&'(&,+,*/"'%7<&=)-"27&-%3& '/8,"&9-"/#*+,7 >)-"27&*+).9&#%/'&9"'/'%7 -%3&%,)/"'%7?)9,"8'/&('$&09"'/'%7& -%3&,+,*/"'%7&%'/&@,/&A')%3& #%/'&-/'.74B&:"#.'"3#-+& %)*+,'7@7%/8,7#7&0)9&/'& C D,4 }Particle Physics }Nuclear Physics from introductory Subatomic slides HREF V @" EREF W @" EVREF W @" EF V&' L GIFF& ' L GIKF& ' L N+,*/"'%7&*'.A#%,&O#/8& 9"'/'%7&-%3&%,)/"'%7&/' ('".&-/'.7&0D<&D,4?/-"PQ-+-R@&('".-/#'%& 7@%/8,7#7&'(&8,-6#,"&%)*+,# S#"7/&7/-"7&3#,&-%3&,T,*/& 8,-6@&%)*+,#&#%/'&79-*,&; ()"/8,"&7/-"&('".-/#'%&0-%3& 9+-%,/74 Subatomic physics looks at: (very) short distances (very) early time in the universe (very) high energy densities U#., 7 The Standard Model The current understanding of the fundamental particles and the interactions between them is called the Standard Model of Particle Physics. Boson-mediated FORCES Gravity? Electromagnetism! photon Weak W ± Z 0 Strong gluons 8

Basic Particles (1st Generation) The particles that you know already, e.g. from beta decay: n! p e! "#e Leptons Electron and neutrino Quarks Nucleons are bounds states of up-quarks and down-quarks Basic Constituents of Matter Four spin-" fermions Particle Symbol Electric Charge Type electron e! -1 lepton neutrino "e 0 lepton up-quark u +2/3 quark down-quark d!1/3 quark Nuclear physics description of beta decay: n! p e! "#e Particle physics description of beta decay: d! u e! "#e 9 Higher Generations Nature replicates itself: there are three generations of quarks and leptons 1st Generation 2nd Generation 3rd Generation charge,e electron e! muon #! tau $! -1 electron neutrino "e down quark d muon neutrino "# tau neutrino "$ 0 strange quark s bottom quark b!⅓ up quark u charm quark c top quark t +⅔ Ordinary Matter: built from the 1st generation Higher Generations: copies of (" e, e #, u, d) undergo identical interactions only difference is mass of particles generations are successively heavier Why 3 generations? symmetry/structure not understood! 10

Antiparticles Combining relativity and quantum mechanics implies every particle has a corresponding antiparticle Antiparticles of the SM particles are antimatter More in PP Lec 2 (& Quantum Physics 14.5) Compared to its matter partner, an antiparticle has: equal mass opposite electric charge opposite additive quantum numbers (e.g. opposite colour charge) Track left by a positron Example: positron (e + ) antiparticle of the electron ( anti-electron ) Discovered in 1931 by Carl Anderson Notation: bar over symbol or minus plus e.g. for first generation: u ū d d e e + ν e ν e 11 Schrödinger and Klein Gordon Quantum mechanics describes momentum and energy in terms of operators: Ê = i t E=p 2 /2m gives time-dependent Schrödinger: The solution with a definite energy, E: ˆp = i However for particles near the speed of light E 2 =p 2 c 2 +m 2 c 4 Ψ E (r, t) = ψ E (r) exp { iet/} Solutions with a fixed energy, Ep=+(p 2 c 2 +m 2 c 4 ) $, and three-momentum, p: Ψ(r, t) = N exp {i(p r E p t)/} Also solutions with a negative energy, En=!Ep =!(p 2 c 2 +m 2 c 4 ) $, and momentum, "p: Ψ (r, t) = N exp {i( p r + E p t)/} 2 2m 2 Ψ(r, t) = i Ψ(r, t) t 2 2 t 2 Ψ(r, t) = 2 c 2 2 Ψ(r, t) + m 2 c 4 Ψ(r, t) Negative energy solutions are a direct result of E 2 =p 2 c 2 +m 2 c 4. We interpret these as anti-particles 12

Subatomic Forces At subatomic scales interactions between particles and nuclei are caused by the three subatomic forces: The electromagnetic force The weak nuclear force The strong nuclear force from introductory Subatomic slides The interactions due to these forces are evident in: Scattering: e.g. scattering of protons on protons at the LHC Particle Decay: e.g. decay of radioactive nuclei, decays of cosmicray muons Nuclear Fission and Fusion, e.g.: reactions in a nuclear reactor 235 92 U+n 236 92 U 144 56 Ba + 89 36 Kr + 3n 13 The Forces of Particle Physics Strong Strongest force Acts on quarks only Weak 3rd strongest force Acts on all particles propagated by W ± and Z 0 bosons Electromagnetic 2nd strongest force Acts on charged particles propagated by (8) gluons, g propagated by photon, % Gravity weakest force - negligible at PP scale Acts on all particles Quantum mechanical description uses messenger particles to propagate the force between particles. Messenger particles are spin-1 bosons e.g. beta decay n!p e! "#e propagated by a W! boson time 14

Colour Charge Every particle which feels the electromagnetic force carries an electric charge: either positive or negative. The strong and weak forces also have charges associated with them. Colour charge Only quarks (and gluons) experience the strong force. Every quarks carries a colour charge quantum number: either red, blue or green. (This is in addition to their electric charge.) Every anti-quark also carries a colour charge quantum number: either anti-red, anti-blue or anti-green. Weak Hypercharge All quarks and all leptons experience the weak force. Weak hypercharge is charge associated with the weak force. We won t use weak hypercharge much in these lectures. 15 What do the particles do? see: JH D&R lectures 2, 14, 15 Particles interact via one of the forces: strong, electromagnetic or weak. Two main interactions: Particle scattering can be elastic or inelastic we ll mainly consider inelastic scattering e.g. scattering of electron and positron, producing a pair of muons e + e! &µ + µ! Particle decay e.g. Beta decay: d! u e! "#e e.g. Muon decay: µ! &e! "#e "µ e + e - d µ! We ll learn all about these type of diagrams throughout the course W W γ u W "µ W time µ + µ - "#e e! "#e e! 16

Hadrons: Mesons & Baryons Free quarks have never been observed - quarks are locked inside hadrons Hadrons are bound states of quarks: either (qqq) or (qq ) Charge of hadron is always integer multiple of electric charge, e Colour charge of hadron is always neutral Two types of hadrons mesons and baryons (also anti-baryons! q q q) Mesons = qq Bound states of quark anti-quark pair Bosons: spin 0, 1, 2 e.g. pions π + = (u d) π = (ūd) π 0 = 1 (uū d d) 2 q q Baryons = qqq Three quark bound states Fermions: spin 1/2, 3/2... e.g. proton (uud), neutron (udd) anti-baryons e.g. anti-proton p = (uud) q q n = (udd) q p = (ūū d) 17 Summary The Standard Model of Particle Physics An elegant theory that describes accurately (almost) all measurements in particle physics Matter fermions, spin-" 3 generations of quarks & leptons Quarks and Leptons Charge, e "e e u d "µ µ c s Antimatter partner for each fermion Quarks bind together to form hadrons - mesons and baryons "' ' t b 0!1 +2/3!1/3 Forces mediated by the exchange of spin-1 bosons Interaction Gauge Bosons Charge, e Strong gluons, g 0 Electromagnetic Photon, % 0 Weak W, Z 0, ±1 Gravity graviton? 0 18