- Relativistic kinematics and four-momentum conservation
- Orientation with respect to an axis (the beam axis)
- Mandelstam variables
- Hadronic collisions
Convince yourself that the equation
correctly describes boosts along the z-axis.
Hint: The energy and momentum along this axis, seen from an observer with
velocity v are given by
What would an u-channel process look like in a scetch?
Consider 2→2 processes on the parton level with incoming hadrons.
Express the partonic scattering angle (the angle between an incoming and an
outgoing particle) θ in the c.m. (laboratory) frame through the
rapidites of the two outgoing particles.
Calculate do the Mandelstam variables t and u for this process in terms of
rapidities and transverse momenta of the outgoing particles.