The minimum velocity required for an electron and positron to produce a Z boson during annihilation is determined by their relativistic kinetic energy. The calculation indicates that the Lorentz factor, γ, must be approximately 90,000 to achieve the necessary energy equivalent to the rest mass of the Z boson. This results in a velocity very close to the speed of light, c, as the particles must be highly relativistic to create a real Z boson rather than a virtual one. The initial calculation of 422 m/s is significantly lower than required, highlighting the necessity for relativistic considerations in particle physics.
PREREQUISITESPhysicists, students of particle physics, and anyone interested in understanding the dynamics of electron-positron annihilation and the production of Z bosons.