Double Distributions and Pseudo-Distributions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914637158547456 |
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| author | Radyushkin, A. V. |
| author_facet | Radyushkin, A. V. |
| contents | We describe the approach to lattice extraction of Generalized Parton Distributions (GPDs) that is based on the use of the double distributions (DDs) formalism within the pseudo-distribution framework. The advantage of using DDs is that GPDs obtained in this way have the mandatory polynomiality property, a non-trivial correlation between $x$- and $ξ$-dependences of GPDs. Another advantage of using DDs is that the $D$-term appears as an independent entity in the DD formalism rather than a part of GPDs $H$ and $E$. We relate the $ξ$-dependence of GPDs to the width of the $α$-profiles of the corresponding DDs, and discuss strategies for fitting lattice-extracted pseudo-distributions by DDs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06007 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Double Distributions and Pseudo-Distributions Radyushkin, A. V. High Energy Physics - Phenomenology High Energy Physics - Lattice We describe the approach to lattice extraction of Generalized Parton Distributions (GPDs) that is based on the use of the double distributions (DDs) formalism within the pseudo-distribution framework. The advantage of using DDs is that GPDs obtained in this way have the mandatory polynomiality property, a non-trivial correlation between $x$- and $ξ$-dependences of GPDs. Another advantage of using DDs is that the $D$-term appears as an independent entity in the DD formalism rather than a part of GPDs $H$ and $E$. We relate the $ξ$-dependence of GPDs to the width of the $α$-profiles of the corresponding DDs, and discuss strategies for fitting lattice-extracted pseudo-distributions by DDs. |
| title | Double Distributions and Pseudo-Distributions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2311.06007 |