Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Tensor Case
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918229398519808 |
|---|---|
| author | Bhattacharya, Shohini Cichy, Krzysztof Constantinou, Martha Metz, Andreas Miller, Joshua Petreczky, Peter Steffens, Fernanda |
| author_facet | Bhattacharya, Shohini Cichy, Krzysztof Constantinou, Martha Metz, Andreas Miller, Joshua Petreczky, Peter Steffens, Fernanda |
| contents | The calculation of generalized parton distributions (GPDs) in lattice QCD was traditionally done by calculating matrix elements in the symmetric frame. Recent advancements have significantly reduced computational costs by calculating these matrix elements in the asymmetric frame, allowing us to choose the momentum transfer to be in either the initial or final states only. The theoretical methodology requires a new parametrization of the matrix element to obtain Lorentz-invariant amplitudes, which are then related to the GPDs. The formulation and implementation of this approach have already been established for the unpolarized and helicity GPDs. Building upon this idea, we extend this formulation to the four leading-twist quark transversity GPDs ($H_T$, $E_T$, $\widetilde{H}_T$, $\widetilde{E}_T$). We also present numerical results for zero skewness using an $N_f=2+1+1$ ensemble of twisted mass fermions with a clover improvement. The light quark masses employed in these calculations correspond to a pion mass of about 260 MeV. Furthermore, we include a comparison between the symmetric and asymmetric frame calculations to demonstrate frame independence of the Lorentz-invariant amplitudes. Analysis of the matrix elements in the asymmetric frame is performed at several values of the momentum transfer squared, $-t$, ranging from 0.17 GeV$^2$ to 2.29 GeV$^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11288 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Tensor Case Bhattacharya, Shohini Cichy, Krzysztof Constantinou, Martha Metz, Andreas Miller, Joshua Petreczky, Peter Steffens, Fernanda High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology High Energy Physics - Theory The calculation of generalized parton distributions (GPDs) in lattice QCD was traditionally done by calculating matrix elements in the symmetric frame. Recent advancements have significantly reduced computational costs by calculating these matrix elements in the asymmetric frame, allowing us to choose the momentum transfer to be in either the initial or final states only. The theoretical methodology requires a new parametrization of the matrix element to obtain Lorentz-invariant amplitudes, which are then related to the GPDs. The formulation and implementation of this approach have already been established for the unpolarized and helicity GPDs. Building upon this idea, we extend this formulation to the four leading-twist quark transversity GPDs ($H_T$, $E_T$, $\widetilde{H}_T$, $\widetilde{E}_T$). We also present numerical results for zero skewness using an $N_f=2+1+1$ ensemble of twisted mass fermions with a clover improvement. The light quark masses employed in these calculations correspond to a pion mass of about 260 MeV. Furthermore, we include a comparison between the symmetric and asymmetric frame calculations to demonstrate frame independence of the Lorentz-invariant amplitudes. Analysis of the matrix elements in the asymmetric frame is performed at several values of the momentum transfer squared, $-t$, ranging from 0.17 GeV$^2$ to 2.29 GeV$^2$. |
| title | Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Tensor Case |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.11288 |