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The particle lateral distribution function (LDF) of air showers at a givenaltitude is sensitive to the mass composition and primary energy of cosmicrays. Studies of the LDF are difficult to perform due to experimental effectssuch as sampling bias, as well as shower-to-shower fluctuations in particledensity. The High Altitude Water Cherenkov (HAWC) observatory, a dense airshower array located in central Mexico at 4100 m a.s.l., is well-suited toperform detailed event-by-event studies of the LDF of multi-TeV cosmic-rayshowers. The detector is instrumented with 1,200 photomultipliers (PMTs) inclose-packed water Cherenkov tanks containing a total of 60 ML of water. Wepresent a study of the LDF of cosmic-ray air showers recorded by HAWC in 2016with energies between 3 TeV and 300 TeV and zenith angle < 16.7$^{\circ}$. Thedata are used to determine the optimal parameterization of the LDF at the HAWCsite. From here the lateral shower age is obtained and its sensitivity to thecosmic ray mass composition is analyzed.

The lateral distribution function of cosmic-ray induced air showers studied with the HAWC observatory