  The transverse-momentum-dependent distributions (TMDs), which are defined by
gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson
lines, can be calculated from quark and gluon correlators fixed in the Coulomb
gauge on a Euclidean lattice. These quantities can be expressed
gauge-invariantly as the correlators of dressed fields in the Coulomb gauge,
which reduce to the standard TMD correlators in the infinite boost limit. In
the framework of Large-Momentum Effective Theory, a quasi-TMD defined from such
correlators in a large-momentum hadron state can be matched to the TMD via a
factorization formula, whose exact form is derived using Soft Collinear
Effective Theory and verified at one-loop order. Compared to the currently used
gauge-invariant quasi-TMDs, this new method can substantially improve
statistical precision and simplify renormalization, thus providing a more
efficient way to calculate TMDs in lattice QCD.
