Lorentz transformations are used in particle physics because they describe how measurements of space and time are related between observers moving at constant velocities, which is important when particles move near the speed of light. Galilean transformations do not account for the speed of light and are therefore not accurate enough for particle physics where velocities approach light speed. Applying Lorentz transformations to experimental data sets of particles brings their measurements into a common rest frame and allows for symmetrical analysis that reveals insights about particle behavior.

1. Application of Lorentz
transformation in High energy
physics
Barnett

2. Why used in particle physics?
• The transformations describe how
measurements related to events in space and
time by two observers, in inertial frames
moving at constant velocity with respect to
each other, are related.

3. http://video.mit.edu/watch/lorentz-
tranformation-11635/

4. • If the velocity of object is far slower than
speed of light, the results of two
transformation are approximately the same.
• Galilean transformation does not consider the
speed of light into calculation.
• So in particle physics, particles are moving
almost at the speed of light, that’s the reason
why we have to use Lorentz instead of
Galilean to decrease uncertainty.

5. After we did Lorentz transformation to 2000 dataset, it
is obvious that all the plotting are symmetrical to
plotting of another muon. Lorentz transformation
changes the lab frame to the rest frame so that muons
in every events will be back to back and have same
momentum.

7. Thanks for your attention!