31 July 2023 to 4 August 2023
America/Chicago timezone

Twist-3 axial GPDs of the proton from lattice QCD

3 Aug 2023, 15:10
20m
One West (WH1W)

One West

WH1W

Speaker

Martha Constantinou (Temple University)

Description

We present the first lattice calculation of the four twist-3 axial quark GPDs for the proton in the $N_f=2+1+1$ twisted-mass formulation with a clover improvement. The ensemble has a volume $32^3\times64$, lattice spacing 0.0934 fm, and corresponds to a pion mass of 260 MeV. The calculation used the quasi-GPDs approach, which requires matrix elements with momentum-boosted proton states coupled to non-local operators. Here, we use three values of the proton momentum, namely 0.83, 1.25, and 1.67 GeV. The light-cone GPDs are defined in the symmetric frame, which we implement here with a (negative) 4-momentum transfer squared of 0.69, 1.38, and 2.76 GeV2, all at zero skewness. We also conduct several consistency checks, including assessing the local limit of the twist-3 GPDs and examining the Burkhardt-Cottingham-type as well as Efremov-Teryaev-Leader-type sum rules.

Topical area Structure of Hadrons and Nuclei

Primary authors

Martha Constantinou (Temple University) Shohini Bhattacharya (BNL) Krzysztof Cichy (Adam Mickiewicz University) Jack Dodson (Temple University) Andreas Metz (Temple) Aurora Scapellato Fernanda Steffens (Bonn)

Presentation materials