There is a rich program of forward physics measurements within the CMS
Collaboration covering a wide range of topics. In many cases there is a
connection to quantities and effects relevant for very high energy cosmic ray
interaction. Some of the recent measurements in the fields of exclusive final
states, low-pT inclusive and diffractive cross sections, underlying event,
multi parton interactions, double parton scattering, final state particle
correlations and minimum bias results are briefly summarized here.Comment: ISVHECRI 2018 Nagoy