PS9.pdf - 253a\/Schwartz Due November 9 2010 Problem Set 9 \u0001 1 Consider the following diagram for e e\u2212 \u2192 \u00b5 \u00b5\u2212 in QED a What other diagrams

PS9.pdf - 253a/Schwartz Due November 9 2010 Problem Set 9...

This preview shows page 1 - 2 out of 2 pages.

253a/Schwartz Due November 9, 2010 Problem Set 9 1. Consider the following diagram fore+e-μ+μ-in QEDa) What other diagrams contribute at the same order in perturbation theory?b) Show explicitly that the sum of this diagram and the diagram with the photonscrossed is gauge invariant (independent ofξ).2. Parity Violation.We calculated thate+e-μ+μ-has a1 +cos2θangular dependence. This agreeswith experiment, as the simulated data in Figure 1 shows. However, the angular distribu-tion for scattering into muon neutrinose+e-νμν¯μis very different, as shown in thesimulated data in Figure 2. (This simulation is somewhat idealized – interference hasbeen dropped, but the physics is correct and has been observed.)Minus1.0Minus0.50.00.51.00100200300400500600cosΘeventsFigure 1.e+e-μ+μ-Minus1.0Minus0.50.00.51.00100200300400500600cosΘeventsFigure 2.e+e-νμν¯μa) Atlowenergy, the total cross sectionσtotfore+e-νμν¯μscattering grows withenergy, in contrast to the totale+e-μ+μ-cross section. Show that this is con-
Image of page 1
Image of page 2

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture