Speaker
Description
We evaluate the transverse momentum-dependent parton distribution functions for the pion and kaon by computing the quasi-beam functions with asymmetric staple-shaped quark bilinear operators and combine it with the soft function and Collins-Soper kernels. These are computed within lattice QCD using an $\mathcal{N}_f= 2 + 1 + 1$ twisted mass fermion ensemble of lattice size $24^3 \times 48$, lattice spacing $a= 0.093$ fm, pion mass of $350$ MeV and kaon mass of $554$ MeV. We study the mixing pattern of the extended operators composed of an asymmetric staple-shaped Wilson line through symmetry arguments and implement non-perturbative renormalization within both the RI/MOM scheme and a variant scheme, where the renormalization factors are computed at short distances.
