icemc: A Monte Carlo Simulation for Cosmogenic Neutrinos interacting in the Antarctic ice as viewed by the Antarctic Impulsive Transient Antenna (ANITA)

A Monte Carlo simulation tool for the radio detection of Ultra High Energy (UHE) neutrino interactions in the Antarctic ice, \icemc, is described in this article. This tool includes the simulation of UHE neutrinos, the parametrization of the Askaryan radiation generated by their interaction in the ice, and the propagation of the radiation through ice and air to a simulated model of the third and fourth ANITA (Antarctic Impulsive Transient Antenna) flights. This paper provides an overview of the \icemc simulation, a detailed description of the physics models used, data/simulation comparisons to validate the physics performance, and a summary of the impact of published results. Finally the sensitivity of the fourth ANITA flight is presented. If no neutrinos are detected, ANITA is expected to improve upon its world leading limit on the cosmogenic neutrino flux above $10^{19}$\,eV.