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PARTICLES AND (fundamental and fundamental forces) strong Introducing: 3 forces: weak electromagnetic

12 “” particles 12 “” particles 3 charged 8 3 3 “weakons” 6 ( 3 “up” + 3 “down”) 1 ? 24 “matter” particles (if you count “colours”) But what about the Higgs!??? () SOME FAMILAR THE PARTICLES ≈10-10m

(-) 0.511 MeV A Fundamental (“pointlike”)

THE NUCLEUS

(+) 938.3 MeV

(0) 939.6 MeV Wave/Particle Duality () Einstein E = h f f = frequency (in time) De Broglie p = h k k = frequency in space! (k = 1/ λ λ = wavelength) “low”

“high” momentum

Heisenberg’s Uncertainty Principle ∆ ≈ 10-15 m ∆p ≥ h ∆p ∆x ≥ h ∆x ∆p ≈ 1 GeV The “” are composite: ≈10-15 m

proton ≈ 1 GeV neutron

“up” quark (+2/3) FUNDAMENTAL “down” quark (-1/3) (“pointlike”) PARTICLES !!! “” (0) 0 MeV Another “A photon is a particle of light” familiar particle: photon (0) 0 MeV

e- e-

Electrical (and Magnetic) Forces explained by photon exchange!! Quantum Electro-Dymamics (QED) :

e- e-

ɣ

e- e-

How do we know there are quarks inside the nucleons? Ans: We can do electron-quark “” and see (e.g. at the HERA electron-proton collider)

d-1/3 e-

ɣ

d-1/3 e- DESY Laboratory (Hamburg, Germany) The experiment at the HERA accelerator

scattered electron e-

30 GeV e- 900 GeV p+

quark jet The H1 Experiment at the HERA Accelerator Struck quark proton forms “jet” of “ = quark + anti-quark composite particle (“”)

quarks and gluons said to be “confined” in Confinement Confinement is a property of the strong force. The strong force works by gluon exchange (see next slide) but at “large” distance the self-interaction of the gluons breaks the inverse square-law forming “flux tubes”:

Quarks and gluons carry “colour “ quantum numbers analogous to – but only “colourless” objects like (3-quark states) and mesons (quark-antiquark states) escape confinement. Quantum “Chromo”-Dynamics (QCD) (more Feynman diagrams)

quarks come gluons come in 3 “colours” in 8 “colours” Quark/gluon scattering in the UA1 pp experiment at CERN (1981-1987)

p

p

The UA1 experiment is famous for the discovery of the W and Z - the carriers of the “weak force” The “weak” force: β-decay:

Radioactive β-decay n → p e- ѵ is an example of the “weak force” in action! The free neutron is an unstable particle: ≈15 mins It beta-decays to a proton with the emission of an electron (e-) and an (anti-)

n p

anti-neutrino electron At the level of the quarks, a d-quark in the neutron is changing into an u-quark giving a proton instead:

d u

anti-neutrino electron Feynman diagram for : (at the quark level)

u e-

d  e The weak force is here mediated by W exchange The weak force only looks weak because the W is such a heavy particle ≈ 80 GeV (1983)

uW+ e-

The photon and the gluon are both massless. Why are the not massless also? Ans: the W and Z bosons get their masses in the theory via their interaction with the Higgs !!! W→ e ѵ decay in the ATLAS experiment 1973 Discovery of “Neutral Currents” in the at CERN (implies existence of Z boson) 1983 Discovery of the W and Z bosons In the UA1 Experiment at CERN Heaviest ± 0 particle W ≈ 80 GeV Z ≈ 91 GeV known at (W and Z masses due to interaction that time! with the Higgs field!) 1994 Discovery of the “top” quark in the CDF and D0 Experiments at FNAL

mtop ≈ 175 GeV Heaviest to date! ( mass from interaction with the Higgs field!) 2003 Nothing Much! – That I can remember! 2012 Discovery of the !!!!

mH ≈ 125 GeV see Ben’s lecture !!!!!! The Discovery of “Neutral Currents” (1973)

  Feynman diagram involving the Weak “Neutral Current” force:

e

Z 0

  The 12 “force” particles (bosons)

g1 g2 g3 g4 g5 g6 g7 g8 (the 8 gluons)

W+ Z0 W- (the 3 “weakons”)

What about the ɣ Higgs boson!??? (the photon) The 4 LEP Experiments at the LEP e+ e- collider at CERN (Geneva) LEP was built to study the Z0

Z0

91.1876 GeV

The 12 “matter” particles ()

leptons quarks

  3 b t (1.77 GeV) (≈50 meV) (≈5 GeV) (≈175 GeV)

  2 s c (≈ 0.106 GeV) (≈10 μeV) (≈ 0.1 GeV) (≈ 2 GeV)

e 1 d u (0.511 MeV) (≈ 0 μeV) ( ≈ 2 MeV) ( ≈ 1 MeV) -1 0 -1/3 +2/3 Identical fermions obey the “Pauli Exclusion Prnciple” The discovery of the top quark The very heavy top quark Fermilab 1994 (USA) mass is “explained” in the theory by saying that the top quark has a very large coupling (interaction) with the Higgs field !!! (significantly larger than that of the W and Z bosons)

All the other “matter” particles have much smaller couplings to the Higgs field and hence much smaller masses e.g. “bottom” quark (b) ≈ 5 GeV “” quark (c) ≈ 2 GeV “strange” quark (s) ≈ 0.1 GeV electron = 0.5 MeV etc. neutrino = 50 meV etc.

mt ≈ 175 GeV The 12 “matter” particles leptons quarks

  3 b t (1.77 GeV) (≈50 meV) (≈5 GeV) (≈175 GeV)   s c 2 (≈ 0.1 GeV) (≈ 2 GeV) (≈ 0.106 GeV) (≈10 μeV)

e 1 d u (0.511 MeV) (≈ 0 μeV) ( ≈ 2 MeV) ( ≈ 1 MeV)

All these different masses of these fundamental particles come from their different interaction with the Higgs field!! The 12 “matter” particles 12 →24 ! leptons quarks

  3 b t (1.77 GeV) (≈50 meV) (≈5 GeV) (≈175 GeV) 6 x 3 for colour   2 s c = 18 (≈10 μeV) (≈ 0.1 GeV) (≈ 2 GeV) quarks (≈ 0.106 GeV) total! e 1 d u (0.511 MeV) (≈ 0 μeV) ( ≈ 2 MeV) ( ≈ 1 MeV)

All these different masses of these fundamental particles come from their different interaction with the Higgs field!!

Feynman diagram for W at LEP2

(“electroweak” theory) w+ w-

ɣ/Z

e- e+ DON’T TALK MORE ABOUT MATTER OR FORCE PARTICLES!!! TALK INSTEAD ABOUT FERMIONS AND BOSONS !!!

MATTER PARTICLES = FERMIONS – EXCLUDE EACH OTHER!!!

1 + 1 = 0 STRANGE ARITHMETIC!!! I.E. OBEY THE PAULI EXCLUSION PRINCIPLE!!!

FORCE PARTICLES = BOSONS – “ATTRACT” EACH OTHER!!! 1 + 1 = 4 STRANGE ARITHMETIC!!! E.G. STIMULATED EMMISSION, LASERS ETC !!!

SYMMETRY BETWEEN FERMIONS AND BOSONS?? SUPER- (SUSY) !!! PLANCK GRAND UNIFICATION: SCALE 10 19 GeV

GUT SCALE 10 15 GeV DOMAIN

STRING

THEORY ETC. INVERSE COUPLINGINVERSE

ENERGY GeV We may rbe getting close to realising Einstein’s dream:

ELECTRO- MAGNETIC

UNIFIED GRAVITY FORCE? STRONG

of unifying all the WEAK fundamental forces together with gravity

Interaction with the ambient all-pervasiveHiggs field gives mass to the fundamental particles: neutrino

V ≈ C electron

top quark V < C

V << C PROF HIGGS UNIV EDINBURGH

The Higgs field is non-zero even in the vacuum.

Interaction with the non-zero Higgs field gives masses to the fundamental particles

Waves in the Higgs field correspond to a new kind of “force” particle: The Higgs boson!! TO DISCOVER THE HIGGS WE NEED: THE LHC SNO point CC / NC  0.35  0.03 is my naive average Solar Data of Salt  No Salt - ignoring corr. systs . and 8B spect. dist. HPS P LB 530 (2 0 0 2 ) 167 hep - p h/0 2 0 2 0 7 4 ; see also P LB 374 (1 9 9 6 ) 111 hep - p h/9 6 0 1 3 4 6 CP-VIOLATION