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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2512.02407 |
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| _version_ | 1866911297834057728 |
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| author | Son, Sangyeong |
| author_facet | Son, Sangyeong |
| contents | We present the formalism of hadron-to-two-hadron transition generalized parton distributions (GPDs) for spinless hadron case. Definitions of the twist-2 unpolarized and polarized $π\toππ$ transition GPDs are introduced with a particular choice of kinematic variables that characterize the produced two-pion system. In the vicinity of $ρ(770)$, we work out the two-pion decay angular distributions of the $e^-π\to e^-γππ$ cross section, incorporating both the Bethe-Heitler and deeply virtual Compton scattering processes. Each cross section exhibits a distinctive angular distribution, which is sensitive to the polarization states of the produced $ρ(770)$ resonance. In addition, we construct the double partial-wave expansion of $π\toππ$ transition GPDs in the two-pion decay angles as a generalization of GPDs for transition from a pion to a spin-$\ell$ resonance state. With the help of the Omnès representation, we constrain the $π\toππ$ transition GPDs in terms of the low energy $ππ$ scattering phase shift and build a phenomenological model for these GPDs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02407 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-diagonal DVCS with spinless hadron-to-two-hadron transition $γ^* π\to γππ$ Son, Sangyeong High Energy Physics - Phenomenology Nuclear Theory We present the formalism of hadron-to-two-hadron transition generalized parton distributions (GPDs) for spinless hadron case. Definitions of the twist-2 unpolarized and polarized $π\toππ$ transition GPDs are introduced with a particular choice of kinematic variables that characterize the produced two-pion system. In the vicinity of $ρ(770)$, we work out the two-pion decay angular distributions of the $e^-π\to e^-γππ$ cross section, incorporating both the Bethe-Heitler and deeply virtual Compton scattering processes. Each cross section exhibits a distinctive angular distribution, which is sensitive to the polarization states of the produced $ρ(770)$ resonance. In addition, we construct the double partial-wave expansion of $π\toππ$ transition GPDs in the two-pion decay angles as a generalization of GPDs for transition from a pion to a spin-$\ell$ resonance state. With the help of the Omnès representation, we constrain the $π\toππ$ transition GPDs in terms of the low energy $ππ$ scattering phase shift and build a phenomenological model for these GPDs. |
| title | Non-diagonal DVCS with spinless hadron-to-two-hadron transition $γ^* π\to γππ$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2512.02407 |