Z Boson Mass Lab Answers (Stanford)

From SJS Wiki
Jump to: navigation, search

Z_boson_mass_histo.JPG


Z_mass_excel_pic.JPG

The unit of mass is GeV/c^2

Procedure

Mr. Freidman gave us p1t, angle1, p2t, angle2, pz1, pz2

we found p1x, p2x, pmx, p1y, p2y, pmy, pmz, p1mag, p2mag, pmmag, total energy:

p1x=(p1t)(Cos{anglhttp://wiki.sjs.org/wiki/index.php?title=Z_Boson_Mass_Lab_Answers_%28Stanford%29&action=edit&section=1 Editing Z Boson Mass Lab Answers (Stanford) (section) - SJS Wikie1})
p2x=(p2t)(Cos(angle2))
pmx=-(p1x-p2x) p1y=(p1t)(Sin(angle1))
p2y=(p2t)(Sin(angle2))
pmy=-(p1y-p2y)
pmz=-(p1z-p2z)
p1mag=(p1x^2+p1y^2+p1z^2)^.5
p2mag=(p2x^2+p2y^2+p2z^2)^.5
pmmag=(pmx^2+pmy^2+pmz^2)^.5
total energy=p1mag+p2mag+pmmag

We can conclude from the data that the mass of the Z boson is about 40 GeV/c^2. The actual mass is = 91.1876 ± 0.0021 GeV. Ouch! The large count of events at low energy is part of the background! The mass of the Z shows up in the smaller peak in the 90-95 GeV bin. Return to Stanford