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In this paper we discuss the analytical properties of the binary collisionintegral for a gas of ultrarelativistic particles interacting via a constantcross-section. Starting from a near-equilibirum expansion over a complete basisof irreducible tensors in momentum space we compute the linearized collisionmatrices analytically. Using these results we then numerically compute alltransport-coefficients of relativistic fluid dynamics with variouspower-counting schemes that are second-order in Knudsen and/or inverse Reynoldsnumbers. Furthermore, we also exactly compute the leading-order contributionwith respect to the particle mass to the coefficient of bulk viscosity, therelaxation time, and other second-order transport coefficients of the bulkviscous pressure.

Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas