Answer
The process that gives rise to the aurora borealis and aurora Australis is emission of photons of the visible light.
Work Step by Step
These high energy photon from the Sun gush to the earth and interfere with the magnetic field of the earth then they are pushed to the north and south pole of our planet.
We can say in short these charged particles and earth's magnetic field cause the beautiful thing observed in the sky which is elegant to the eyes.