We study the factorization relations between quasi gluon GPDs and twist-2
GPDs. The perturbative coefficient functions are obtained at one-loop level.
They are free from any collinear- or I.R. divergences. Unlike the case of the
factorization of quasi quark GPDs at one-loop, we have to add ghost
contributions for the factorization of quasi gluon GPDs in order to obtain
gauge-invariant results. In general, operators will be mixed beyond tree-level.
Our work shows that the mixing pattern of the nonlocal operators in quasi gluon
GPDs is the same as local operators, i.e., the nonlocal operators considered
are mixed with gauge-invariant operators, BRST-variation operators and
operators involving EOM operator. The factorization relations are obtained for
all quasi gluon GPDs. Taking the forward limit, we also obtain the relations
between quasi gluon PDFs and twist-2 PDFs.Comment: 23 pages, 5 figures, published versio