IdeasOfParticlePhysics
The Ideas of Particle Physics (Coughlan, Dodd, and Gripaios)
- Three varieties of radiation result from the three main fundamental forces of nature effective within atoms.
- QM + SR makes it necessary to invent spin. (If electron spin had not been proposed and discovered experimentally, it would be been proposed theoretically.)
- In non-relativistic QM, g=2 is an experimental fact. With the Dirac equation it is a prediction.
- Anti-matter => that fundamental particles cannot be thought of as immutable fundamental entities. They can be created and destroyed.
- Four forces, only two relevant for most of the world.
Intrinsic parity has meaning only because particles can be created or destroyed. If particles where conserved, then the product of intrinsic parities would always be the same.
- Can determine pion spin from p+ p->d + pi and pi + d -> p +
- Spin splitting from B-field is like mass splitting of isospin from charge.
- 1st massive accelerator experiment: In 25 days produced 1014 nus and got 51 muons
- Kaons produced by strong interactions (ks or \bar{k}) but they decay as kL or kS
K1 = (K + \bar(k)) (Up to normalization) K2 = (K - \bar(k)) (Up to normalization)
KL = K2 + epsilon x K1 and Ks = K1 - epsilon x K2
epsilon is due to higher-order weak process => very small
- sigma(nu + e -> e + nu) = sigma0 x (Enu)/me where sigma0 ~ 10-44 cm2 ~ (10-7 GeV-1) ^2
- The reversion to the simplicity of the point-like scattering after a relatively more complicated transitional phase is taken to indicate that we have broken through to a new, more basic level of matter with in the nucleon.
- Deep inelastic lepton-nucleon scattering has been an extremely useful tool for probing the structure of hadrons.
Learned:
- the nucleon contains point-like constituents (partons), as evidenced by the approximate scale invariance of structure functions F(nu, q2) = F(x)
- partons have spin 1/2 is clear from the observed relation between the electromagnetic structure functions: 2F1(x) = F2(x)
- behavior of the electro-weak cross sections strongly suggests the identification of these spin 1/2 partons with fractionally charged quarks
- partons only account for about half of the nucleon momentum (at the energies that were originally probed)
- pi0 -> gamma gamma support for three colors. Calculation off by factor of 9 with only one color.
- Asymptotic freedom requires a non-Abelian interaction, <= 16 quarks, no Higgs breaking
- p158: nice explanation of pdf variation with q2.
- Unusual lifetime of J/psi: preferred decay modes inhibited. Obvious J/psi -> D0 + \bar{D_0} not possible b/c of D mass. More complicated (3 gluon) decay to non-charmed hadrons takes longer.
- Number of fundamental particles in SM: 45 spin-1/2: 15 * 3(families) = (1 nu (L-only) + 2 charged-leps (Land R) + 3(colors)*2(flavors)*2(helicities))x 3 12 gauge bosons: (27 DoF) 8 gluons + W+ W- Z + gamma 8*2 + 3x3 + 2 = 27 1 Higgs boson
Question: How to think about anomalies in an EFT ?
19 Free parameters in the SM 18 + 1 (theta QCD ~0) Claim with nu mass now 27 + 1
18: 9 masses + 3 coupling strengths + 4 quark mixing parameters (How to see 4?) + 2 EWK symmetry breaking (v and mH) 27: 18 + 3 nu masses + 4 mixing parameters + 2 phases if Majorana