Speaker
Description
The upcoming EIC will allow us to study in depth the three-dimensional tomography of hadrons via Generalized Parton Distributions (GPDs). Recently, the 𝑥-dependence of GPDs have been found to be extracted from the lattice utilizing matrix elements of nonlocal operators. In this presentation we discuss results on the transversity GPDs utilizing novel theoretical developments of lattice QCD to extract GPDs. On the twist-2 level, there are four transversity GPDs: $H_T$, $E_T$, $\tilde{H}_T$, and $\tilde{E}_T$. Traditionally, calculations have been conducted in the symmetric frame but was computationally expensive. As shown in Phys.Rev.D 106 (2022) 11, 114512, an optimized calculation of GPDs has been done allowing to gain more values of -t at a reduced computational cost. Calculations presented here use an ensemble where $N_f=2+1+1$ with twisted mass fermions and a clover improvement. The light-quark masses lead to a simulated pion mass of 260 MeV. All calculations done are at zero-skewness.
