Deriving the Energy Function of Non-repeaters from CHIME/FRB Baseband Data

Fast radio bursts (FRBs) are radio pulses that originate from cosmological distance. Over 800 FRB sources with thousands of bursts have been detected, yet their origins remain unknown. Analyse of the energy function and the redshift evolution of volumetric rate could provide crucial insights into FRB progenitors. In this paper, we present the energy functions of non-repeaters selected from the CHIME/FRB baseband data using the $V_\mathrm{max}$ method. The $V_\mathrm{max}$ method allows us to measure redshift evolution without prior assumptions. We observed Schechter-like shapes in the energy function at low redshift region, while high redshift regions show a relatively small slope ($\gamma\approx -2$). The redshift evolution of volumetric rates shows an ambiguous trend, indicating that the population of non-repeaters is still not well understood. In the future, more samples and accurate measurements are needed to clarify these trends.