Speaker
Description
Traditional approaches on studying the $x$-dependence through Large Momentum Effective Theory (LaMET) for GPDs are calculating non-local matrix elements in the symmetric frame. Recently, the novel approach of calculating GPDs in the asymmetric frame through a parameterization of the matrix elements, using Lorentz-invariant amplitudes, has been conducted for the unpolarized (PhysRevD.106.114512) and helicity (PhysRevD.109.034508) cases. Here, we extend our work to the twist-2 tensor case, where we calculate the 4 GPDs: $H_T$, $E_T$, $\tilde{H}_T$, and $\tilde{E}_T$. This is done for a momentum boost of $P_3$ = 1.25 GeV in the direction of the Wilson line, with a momentum transfer square $-t \in [0.17, 2.29] ~\mathrm{GeV}^2$. The calculations for this work use an $N_f$ = 2+1+1 ensemble of twisted mass fermions with a clover improvement. The quark masses give a pion mass of roughly 260 MeV.
