Neutrino quantum kinetics in the Early Universe

Future observatories will push precision on cosmological parameters to the 1% level.  Coupled with data from nuclear and neutrino terrestrial experiments, the early universe has the potential to become a laboratory for probing Beyond Standard Model (BSM) physics.  Focusing on the neutrino sector of cosmology, I will begin by giving an overview of past approaches to neutrino decoupling and the synthesis of primordial elements within the standard model.  The past approaches either do not fully capture the flavor-oscillation behavior or the energy transport.  At this point, I will explain how to simultaneously evolve the neutrino flavor and energy components using Quantum Kinetic Equations (QKEs).  A full QKE solution is a challenging numerical problem and I will show some results in a two-flavor model of neutrinos.  Finally, I will conclude with examples of BSM physics which have ramifications on primordial abundances and neutrino parameters.