  We obtain the leading-twist valence quark transverse-momentum-dependent
parton distribution functions (TMD PDFs) for the proton within the basis
light-front quantization (BLFQ) framework. Our results are consistent with
lattice QCD calculations and our previous results for the collinear limit. We
also obtain consistency with the Soffer-type bounds. Within our approach, we
find that six T-even TMDs in the leading twist are all independent of each
other, and previously found model-dependent relations do not hold. This is a
promising sign that our results are representative of future, more extensive
treatments of QCD. Furthermore, we obtain a non-trivial $ x $-dependence of the
$ \left<(p^\perp)^2\right> $ and some consistency with the Gaussian ansatz but
only in the small $ (p^\perp)^2 $ region. Those features suggest our results
may be a useful alternative in future experimental extractions.
