This is a written version of a series of lectures aimed at graduate students
in astrophysics/particle theory/particle experiment. In the first part, we
explain the important progress made in recent years towards understanding the
experimental data on cosmic rays with energies > 10^8 GeV. We begin with a
brief survey of the available data, including a description of the energy
spectrum, mass composition, and arrival directions. At this point we also give
a short overview of experimental techniques. After that, we introduce the
fundamentals of acceleration and propagation in order to discuss the
conjectured nearby cosmic ray sources, and emphasize some of the prospects for
a new (multi-particle) astronomy. Next, we survey the state of the art
regarding the ultrahigh energy cosmic neutrinos which should be produced in
association with the observed cosmic rays. In the second part, we summarize the
phenomenology of cosmic ray air showers. We explain the hadronic interaction
models used to extrapolate results from collider data to ultrahigh energies,
and describe the prospects for insights into forward physics at the Large
Hadron Collider (LHC). We also explain the main electromagnetic processes that
govern the longitudinal shower evolution. Armed with these two principal shower
ingredients and motivation from the underlying physics, we describe the
different methods proposed to distinguish primary species. In the last part, we
outline how ultrahigh energy cosmic ray interactions can be used to probe new
physics beyond the electroweak scale.Comment: Lectures given at the 6th CERN-Latin-American School of High-Energy
Physics, Natal, Brazil, March - April, 2011. (92 pages, 37 figures) Submitted
for publication in a CERN Yellow Report.
http://physicschool.web.cern.ch/PhysicSchool/CLASHEP/CLASHEP2011/