FACULTY OF SCIENCE. High Energy Physics. WINTHROP PROFESSOR IAN MCARTHUR and ADJUNCT/PROFESSOR JACKIE DAVIDSON

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1 FACULTY OF SCIENCE High Energy Physics WINTHROP PROFESSOR IAN MCARTHUR and ADJUNCT/PROFESSOR JACKIE DAVIDSON

2 AIM: To explore nature on the smallest length scales we can achieve Current status (10-20 m) Using and verifying the Standard Model Standard Model has two kinds of fundamental particles with different functions: v Fundamental fermions: building blocks of matter quarks ( u, d, c, s, t, b) leptons ( e -, n e, m -, n m, t -, n t ) anti-quarks anti-leptons three groups (or generations) of quarks and leptons lowest energy/mass generation v Fundamental bosons: mediators of interactions between particles g, W ±, Z 0, gluons, graviton? Higgs boson

3 discovered 1995 periodic table of the Standard Model discovered 2012

4 How do we know this? high energy scattering experiments in accelerators

5 How do we know this? Most of what we know about the world around us is as a result of scattering experiments

6 very complicated!

7 compact muon solenoid detector in the Large Hadron Collider

8 Why high energy physics? A particle of momentum p can exhibit wavelike phenomena characterised by a wavelength: A probe particle cannot resolve structures smaller than its wavelength. To probe structures on a length scale l, probe particles are needed with de Broglie wavelength λ l. Particle accelerators accelerate particles to large p (ie small l).

9 optical microscope electron microscope Stanford mark III accelerator Stanford two-mile accelerator light used visible light electrons electrons electrons energy 2 ev ev 1 GeV 20 GeV wavelength 10-5 cm 10-9 cm cm cm smallest object seen millions of atoms thousands of atoms atomic nucleus particles inside nucleus typical object of study living cell virus atomic nucleus proton

10 What we identify as the fundamental constituents of matter depends on the length scale:

11 Most of the visible matter in the universe consists of up quarks, down quarks and electrons in various bound states. æ Up quark (u) charge +⅔ æ Down quark (d) charge -⅓ But visible matter makes up only about 4% of the energy/mass of the Universe. (more on this later )

12 What is it that holds fundamental fermions in these bound states? It is the fundamental interactions. æ Strong interaction binds u and d quarks to make protons and neutrons. æ Residual strong interaction binds protons and neutrons into nuclei. æ Electromagnetic interaction binds electrons and nuclei to form atoms. æ EM interaction (in residual form) binds atoms to form molecules and crystals. æ Gravitational interaction binds matter to form stars, galaxies

13 Weak interaction æ Radioactive decay æ Not a binding interaction, but does involve transfer of energy and momentum.

14 What is an interaction? No interaction No exchange of energy and momentum Interaction Exchange of energy and momentum

15 Classical (or macroscopic) description of interactions Electromagnetic interaction Gravitational interaction Charged particle interacts with electric field of another charged particle. The field transfers energy and momentum.

16 Quantum description of interactions This classical description breaks down on microscopic distance scales and needs to be replaced by a quantum description. æ quantum electrodynamics (QED) æ much simpler no fields, only particles æ energy and momentum transfer in an electromagnetic interaction occurs via virtual photon exchange. Feynman diagram

17 What is a virtual particle? For a classical particle, energy and momentum are related: v Non-relativistic: v Relativistic: Quantum mechanics says a particle of momentum p can have an energy E which is different from the energy E classical we would expect it to have classically. If only for a time ΔT such that then the particle is called a virtual particle and can exist If E = E classical then the particle is called a real particle and can exist indefinitely.

18 Back to quantum electrodynamics Charged particles can emit and absorb virtual photons. Virtual photos can only exist for a short time, so there are two possibilities: 1. The virtual photon is reabsorbed by the same charged particle. This is the quantum analogue of the electric field (no net energy loss).

19 2. The virtual photon can be absorbed by another charged particle. This transfer of energy and momentum is an interaction. This is the quantum version of a particle interacting with the electric field of another particle.

20 If a particle has zero charge it cannot emit or absorb virtual photons, so does not participate in electromagnetic interactions. The potential energy of a pair of charged particles due to virtual photon exchange is: Coulomb interaction Can we believe this? Lande g-factor relates magnetic moment of electron to its spin. Experimental result: g/2 = (±29) Theory without virtual photons: g/2 = Theory with virtual photons: g/2 = (±20)

21 A charged particle can also emit real photons if it is accelerated. These can exist indefinitely and propagate off to infinity (electromagnetic radiation).

22 How can virtual particle exchange give rise to both attractive and repulsive forces? æ Virtual particle exchange between a pair of particles gives rise to a potential energy V(r) for the pair of particles depending on their separation, r. æ Particles move in directions which minimise their potential energy. æ If V(r) increases with increasing separation, particles will move closer together (an attractive force). æ If V(r) decreases with increasing separation, particles will move apart (a repulsive force).

23 Quantum theory of the weak interaction æ The weak interaction is mediated by exchange of virtual W ± and Z 0 bosons. æ eg beta decay (proton) baryon number conservation lepton number conservation charge conservation (neutron) All interactions conserve: energy/momentum, charge, baryon and lepton number.

24 Quantum theory of the weak interaction p p Z 0 Z-boson has mass (short-ranged interactions) n e n e weak scattering interaction Similar to electromagnetic scattering g photon is massless (infinite-ranged interactions) Unification of electromagnetic and weak interactions theory

25 Quantum theory of the strong interaction Quantum chromodynamics (QCD) 1980s v The strong interaction binds quarks into protons and neutrons. v The strong interaction is mediated by exchange of virtual particles called gluons. v The interaction is short-range, m (approximate proton diameter)

26 There s more to do: v The Standard Model has been very successful at predicting scattering interactions observed in high energy accelerators. The latest success was prediction and measurement of the Higgs boson. Classical theory would not have predicted experimental results to date. However: v The Standard Model does not give a quantum theory of gravity. In accelerators this is not a problem as gravity is a very weak force on an atomic scale. In black holes and in Big Bang theory, where energies are extremely high, quantum gravity cannot be ignored. v Visible matter makes up only 4.6% of energy/mass of the Universe. 24% of energy/mass of the Universe is in cold dark matter, which is currently unknown. 71.4% of energy/mass of the Universe is in dark energy, which is currently not understood. v Work continues in supersymmetry theory, string theory, the quest to unify, simplify and understand the constants of nature, and energy hierarchy of observed particles.

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