Measuring the Mass of the Z Boson Mass

Measuring the Mass of the Z Boson

Mass, Energy & Momentum [ Lorentz transform ] At Rest In Motion [ Squaring ] [ Rearranging ]

Mass, Energy & Momentum [ Distributing ] [ Simplifying ] [ Using p = mv ]

Mass, Energy & Momentum [ Using E=mc 2 ] [ Rearranging ] If using units of e. V for Energy, e. V/c 2 for the units of Mass and e. V/c for the units of Momentum

Measuring the Mass of the Z Boson E 2 = p 2 + mo 2 = E 2 - p 2

Measuring the Mass of the Z Boson Energy is a scalar Momentum is a vector mo 2 = E 2 - p 2 At high energies, the magnitude of the Energy (in Ge. V) is equal to the magnitude of the Momentum (in Ge. V/c) Total Energy (in Ge. V) = 43. 6 + 48. 0 = 91. 6 Ge. V

Measuring the Mass of the Z Boson Energy is a scalar Momentum is a vector mo 2 = E 2 - p 2 To calculate the total momentum of the two particles, we must do a vector sum of their momentum e. V 48. 0 G 14 o 22 o G 43. 6 e. V Total Momentum = 7. 78 Ge. V/c (Vector sum)

Measuring the Mass of the Z Boson Energy is a scalar = 91. 6 Ge. V (Scalar sum) Momentum is a vector = 7. 78 Ge. V/c (Vector sum) E = 43. 6 Ge. V + 48. 0 Ge. V = 91. 6 Ge. V 48. 0 G 14 o 22 o G 43. 6 e. V