Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Axial-vector case
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arXiv
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| Autores principales: | , , , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929258939547648 |
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| author | Bhattacharya, Shohini Cichy, Krzysztof Constantinou, Martha Dodson, Jack Gao, Xiang Metz, Andreas Miller, Joshua Mukherjee, Swagato Petreczky, Peter Steffens, Fernanda Zhao, Yong |
| author_facet | Bhattacharya, Shohini Cichy, Krzysztof Constantinou, Martha Dodson, Jack Gao, Xiang Metz, Andreas Miller, Joshua Mukherjee, Swagato Petreczky, Peter Steffens, Fernanda Zhao, Yong |
| contents | Recently, we made significant advancements in improving the computational efficiency of lattice QCD calculations for Generalized Parton Distributions (GPDs). This progress was achieved by adopting calculations of matrix elements in asymmetric frames, deviating from the computationally-expensive symmetric frame typically used, and allowing freedom in the choice for the distribution of the momentum transfer between the initial and final states. A crucial aspect of this approach involves the adoption of a Lorentz covariant parameterization for the matrix elements, introducing Lorentz-invariant amplitudes. This approach also allows us to propose an alternative definition of quasi-GPDs, ensuring frame independence and potentially reduce power corrections in matching to light-cone GPDs. In our previous work, we presented lattice QCD results for twist-2 unpolarized GPDs ($H$ and $E$) of quarks obtained from calculations performed in asymmetric frames at zero skewness. Building upon this work, we now introduce a novel Lorentz covariant parameterization for the axial-vector matrix elements. We employ this parameterization to compute the axial-vector GPD $\widetilde{H}$ at zero skewness, using an $N_f=2+1+1$ ensemble of twisted mass fermions with clover improvement. The light-quark masses employed in our calculations correspond to a pion mass of approximately 260 MeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_13114 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Axial-vector case Bhattacharya, Shohini Cichy, Krzysztof Constantinou, Martha Dodson, Jack Gao, Xiang Metz, Andreas Miller, Joshua Mukherjee, Swagato Petreczky, Peter Steffens, Fernanda Zhao, Yong High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology High Energy Physics - Theory Recently, we made significant advancements in improving the computational efficiency of lattice QCD calculations for Generalized Parton Distributions (GPDs). This progress was achieved by adopting calculations of matrix elements in asymmetric frames, deviating from the computationally-expensive symmetric frame typically used, and allowing freedom in the choice for the distribution of the momentum transfer between the initial and final states. A crucial aspect of this approach involves the adoption of a Lorentz covariant parameterization for the matrix elements, introducing Lorentz-invariant amplitudes. This approach also allows us to propose an alternative definition of quasi-GPDs, ensuring frame independence and potentially reduce power corrections in matching to light-cone GPDs. In our previous work, we presented lattice QCD results for twist-2 unpolarized GPDs ($H$ and $E$) of quarks obtained from calculations performed in asymmetric frames at zero skewness. Building upon this work, we now introduce a novel Lorentz covariant parameterization for the axial-vector matrix elements. We employ this parameterization to compute the axial-vector GPD $\widetilde{H}$ at zero skewness, using an $N_f=2+1+1$ ensemble of twisted mass fermions with clover improvement. The light-quark masses employed in our calculations correspond to a pion mass of approximately 260 MeV. |
| title | Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Axial-vector case |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.13114 |