  This work is dedicated to the study of power expansion in the transverse
momentum dependent (TMD) factorization theorem. Each genuine term in this
expansion gives rise to a series of kinematic power corrections (KPCs). All
terms of this series exhibit the same properties as the leading term and share
the same nonperturbative content. Among various power corrections, KPCs are
especially important since they restore charge conservation and frame
invariance, which are violated at a fixed power order. I derive and sum a
series of KPCs associated with the leading-power term of the TMD factorization
theorem. The resulting expression resembles a hadronic tensor computed with
free massless quarks while still satisfying a proven factorization statement.
Additionally, I provide an explicit check of this novel form of factorization
theorem at the next-to-leading order (NLO) and demonstrate the restoration of
the frame-invariant argument of the leading-power coefficient function.
Numerical estimations show that incorporating the summed KPCs into the
cross-section leads to an almost constant shift, which may help to explain the
observed challenges in the TMD phenomenology.
