Speaker
Description
We report a lattice QCD study of iso-vector helicity transverse momentum-dependent distributions (TMDs) and flavor-dependent unpolarized TMDs of $u$- and $d$-quarks. Utilizing domain-wall fermion discretization with physical quark masses and a fine lattice spacing of $a$ = 0.0836 fm, we compute both conventional gauge-invariant (GI) quasi-TMDs and the novel Coulomb-gauge-fixed quasi-TMDs. Based on the factorization to the light-cone TMDs under the framework of large momentum effective theory (LaMET), we extract the renormalization-group-invariant (RGI) ratios between these three TMDs as functions of longitudinal momentum fraction $x$ and transverse separation $b_T$. Our results are compared with recent global analyses of helicity and unpolarized TMDs. Additionally, we discuss the connection between the three-dimensional TMDs and the one-dimensional parton distribution functions.
