  The Hirzebruch-Milnor class is given by the difference between the homology
Hirzebruch characteristic class and the virtual one. It is known that the
Hirzebruch-Milnor class for a certain singular hypersurface can be calculated
by using the Hodge spectrum of each stratum of singular locus. So far there is
no explicit calculation of this invariant for any non-trivial examples, and we
calculate this invariant by two different ways for low dimmensional hyperplane
arrangements.
