Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ
Abstract Hadron-to-two-hadron transition generalized parton distributions (GPDs) extend the concept of hadron-to-resonance transition GPDs and provide a unified description of non-diagonal hard exclusive reactions in the generalized Bjorken limit. We present the formalism for the case of spinless ha...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)119 |
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| author | Sangyeong Son Kirill M. Semenov-Tian-Shansky |
| author_facet | Sangyeong Son Kirill M. Semenov-Tian-Shansky |
| author_sort | Sangyeong Son |
| collection | DOAJ |
| description | Abstract Hadron-to-two-hadron transition generalized parton distributions (GPDs) extend the concept of hadron-to-resonance transition GPDs and provide a unified description of non-diagonal hard exclusive reactions in the generalized Bjorken limit. We present the formalism for the case of spinless hadrons addressing the non-diagonal deeply virtual Compton scattering γ * π → γππ in terms of π → ππ transition GPDs, which generalize GPDs for π → f 0, ρ, f 2, ⋯ transitions. We work out the basic properties of π → ππ transition GPDs and establish the soft pion theorems at the 2π production threshold. We construct the partial wave expansion of π → ππ transition GPDs in the two-pion decay angles and employ the dispersive approach to constrain π → ππ transition GPDs in terms of ππ-scattering phases with help of the Omnès representation. We estimate the e − π + → e − γπ + π 0 cross section in the kinematics of the JLab@12 GeV incorporating the isolated ρ(770) resonance state and work out the angular distributions of the cross section, specifying the observables sensitive to the polarization states of the produced ρ(770) resonance. |
| format | Article |
| id | doaj-art-425e81fc6a484936aa29739e6d9e06ca |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-425e81fc6a484936aa29739e6d9e06ca2025-02-09T12:07:58ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114710.1007/JHEP01(2025)119Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππSangyeong Son0Kirill M. Semenov-Tian-Shansky1Department of Physics, Kyungpook National UniversityDepartment of Physics, Kyungpook National UniversityAbstract Hadron-to-two-hadron transition generalized parton distributions (GPDs) extend the concept of hadron-to-resonance transition GPDs and provide a unified description of non-diagonal hard exclusive reactions in the generalized Bjorken limit. We present the formalism for the case of spinless hadrons addressing the non-diagonal deeply virtual Compton scattering γ * π → γππ in terms of π → ππ transition GPDs, which generalize GPDs for π → f 0, ρ, f 2, ⋯ transitions. We work out the basic properties of π → ππ transition GPDs and establish the soft pion theorems at the 2π production threshold. We construct the partial wave expansion of π → ππ transition GPDs in the two-pion decay angles and employ the dispersive approach to constrain π → ππ transition GPDs in terms of ππ-scattering phases with help of the Omnès representation. We estimate the e − π + → e − γπ + π 0 cross section in the kinematics of the JLab@12 GeV incorporating the isolated ρ(770) resonance state and work out the angular distributions of the cross section, specifying the observables sensitive to the polarization states of the produced ρ(770) resonance.https://doi.org/10.1007/JHEP01(2025)119Deep Inelastic Scattering or Small-x PhysicsParton DistributionsProperties of Hadrons |
| spellingShingle | Sangyeong Son Kirill M. Semenov-Tian-Shansky Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ Journal of High Energy Physics Deep Inelastic Scattering or Small-x Physics Parton Distributions Properties of Hadrons |
| title | Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ |
| title_full | Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ |
| title_fullStr | Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ |
| title_full_unstemmed | Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ |
| title_short | Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ |
| title_sort | non diagonal dvcs and transition gpds a unified framework for spinless hadron case γ π γππ |
| topic | Deep Inelastic Scattering or Small-x Physics Parton Distributions Properties of Hadrons |
| url | https://doi.org/10.1007/JHEP01(2025)119 |
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