Template synthesis approach for radio emission from extensive air showers

The radio detection technique of cosmic ray air showers has gained renewed interest in the last two decades. While the radio experiments are very cost-effective to deploy, the Monte-Carlo simulations required to analyse the data are computationally expensive. Here we present a novel way to synthesise the radio emission from extensive air showers in simulations. It is a hybrid approach which uses a single microscopic Monte-Carlo simulation, called the origin shower, to generate the radio emission from a target shower with a different longitudinal evolution, primary particle type and energy. The method employs semi-analytical relations which only depend on the shower parameters to transform the radio signals in the simulated antennas. We apply this method to vertical air showers with energies ranging from $10^{17} \; \text{eV}$ to $10^{19} \; \text{eV}$ and compare the results with CoREAS simulations in two frequency bands, namely the broad [20, 500] MHz band and a more narrow one at [30, 80] MHz . We gauge the synthesis quality using the maximal amplitude and energy fluence contained in the signal. We observe that the quality depends primarily on the difference in \textXmax\ between the origin and target shower. After applying a linear bias correction, we find template synthesis to have an accuracy of better than 10% on the broad frequency range. On the restricted [30, 80] MHz range the accuracy is better than 5%. We surmise the template synthesis approach to be limited by intrinsic shower fluctuations which were not accounted for