In the electroweak theory, symmetry breaking occurs on a length scale of about 10^-17 m. Compute the frequency of particles with de Broglie wavelengths (see Section 10.5) equal to this value, and, using this result, determine their energies by the Planck formula E = hf. Show that the mass of particles having such energies is on the order of the mass of the W± particles (Figure 12.23).

MATTER ANTIMATTER III Top/truth Charm Antiup Anticharm Antitop/truth Up R,G,B C, M,Y R,G,B R,G,B C,M,Y C, M,Y 1275 174,300 2.5 1275 174,300 2.5 Quarks Antiquarks- Antidown Antibottom/ Down Strange Bottom/ Antistrange beauty beauty d. R,G,B R,G,B R,G,B C, M,Y CM,Y C, M,Y 4.8 95 4180 4.8 95 4180 Electron Muon Tau Positron Antimuon Antitau e+ Antileptons - e- U.511 105.7 1777 U.511 105.7 1777 Leptons Electron Neutrino Muon Electron Tau Neutrino Muon Tau Antincutrino Antincutrino Neutrino Antincutrino V. Ve , P