Speaker
Description
Recent developments in large-momentum effective theory (LaMET) and short-distance factorization (SDF) enable access to the $x$ dependence of generalized parton distributions through matrix elements of nonlocal operators. Using a Lorentz-invariant decomposition of matrix elements computed in an asymmetric kinematic frame, we determine the corresponding invariant amplitudes. This approach significantly reduces the computational cost of evaluating matrix elements over a broad range of momentum transfers. In this work, we use the operator-product expansion of these nonlocal matrix elements to extract Mellin moments of the four leading-twist transversity GPDs, $H_T$, $E_T$, $\widetilde{H}_T$, and $\widetilde{E}_T$. The calculation is performed on an $N_f=2+1+1$ twisted-mass fermion ensemble with clover improvement, corresponding to a pion mass of approximately $260~\mathrm{MeV}$, for momentum transfers in the range $0.17 \leq -t \leq 2.3~\mathrm{GeV}^2$. Since the transversity sector remains largely unexplored, the resulting generalized form factors provide valuable information on the transverse structure of the proton and constitute important input for studies of impact-parameter distributions and transverse quark densities.