Gluon Parton Distribution on the Lattice using Pseudo-PDF technique

We present a calculation of the unpolarized gluon parton distribution function (PDF) in the nucleon using the Pseudo-PDF framework. The nucleon interpolating fields are constructed using distillation and we apply the sGEVP method to calculate the gluonic matrix elements. We modify the gauge fields using gradient flow, and form a double ratio of matrix elements to yield the flowed reduced matrix elements. We extrapolate the results to the zero flow-time limit to calculate the pseudo Ioffe-time distribution. We extract the unpolarized gluon PDF directly from pseudo-ITD by implementing Jacobi ploynomial parametrization. We describe the prospect of polarized gluon PDF calculation by showing some preliminary results.