  Three- and four-pion Bose-Einstein correlations are presented in pp, p-Pb,
and Pb-Pb collisions at the LHC. We compare our measured four-pion correlations
to the expectation derived from two- and three-pion measurements. Such a
comparison provides a method to search for coherent pion emission. We also
present mixed-charge correlations in order to demonstrate the effectiveness of
several analysis procedures such as Coulomb corrections. Same-charge four-pion
correlations in pp and p-Pb appear consistent with the expectations from
three-pion measurements. However, the presence of non-negligible background
correlations in both systems prevent a conclusive statement. In Pb-Pb
collisions, we observe a significant suppression of three- and four-pion
Bose-Einstein correlations compared to expectations from two-pion measurements.
There appears to be no centrality dependence of the suppression within the
0-50% centrality interval. The origin of the suppression is not clear. However,
by postulating either coherent pion emission or large multibody Coulomb
effects, the suppression may be explained.
