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We show that the on-shell effective theory (OSEFT) is the quantum fieldtheory counterpart of a Foldy-Wouthuysen diagonalization of relativisticquantum mechanics for massless fermions. Thus, it is free of the Zitterbewegungoscillations that would yield an ill-defined meaning to the semiclassicaltransport approach at short distances if derived from the pure Dirac picture.We present a detailed derivation of the collision terms in the chiral kinetictheory using the OSEFT. Collision integrals are derived up to order 1/E, whereE is the energy of an on-shell fermion. At this order, the collision termsdepends on the spin tensor of the fermion, and in the presence of chiralimbalance, it describes how a massless fermion of a given helicity interactsdifferently with the transverse photons of different circular polarization. Inorder to back up our results, we check that they allow us to reproduce thefermion decay rate in an ultradegenerate plasma with a chiral imbalancecomputed directly from QED.

Chiral kinetic theory from the on-shell effective theory: derivation of collision terms