Timelike form factor for the anomalous process $γ^\ast π\rightarrow ππ$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908414407344128 |
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| author | Miramontes, Angel S. Eichmann, Gernot Alkofer, Reinhard |
| author_facet | Miramontes, Angel S. Eichmann, Gernot Alkofer, Reinhard |
| contents | The form factor $F_{3π}(s,t,u)$ for the anomalous process $γ^\ast π\rightarrow ππ$ is calculated in the isospin limit for several values of the light current-quark mass (i.e., the pion mass) using Dyson-Schwinger and Bethe-Salpeter equations. Beyond a quark interaction kernel representing gluon-mediated interactions, leading beyond-rainbow-ladder effects at low energies are incorporated by back-coupling pions as explicit degrees of freedom. Building upon an earlier calculation of the quark-photon vertex that captures the branch cut associated with the two-pion threshold and the rho meson resonance, the form factor $F_{3π}(s,t,u)$ is determined for timelike Mandelstam s. In particular, predictions are made for the kinematics relevant for the Primakoff reaction studied with COMPASS/AMBER at CERN. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20899 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Timelike form factor for the anomalous process $γ^\ast π\rightarrow ππ$ Miramontes, Angel S. Eichmann, Gernot Alkofer, Reinhard High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory The form factor $F_{3π}(s,t,u)$ for the anomalous process $γ^\ast π\rightarrow ππ$ is calculated in the isospin limit for several values of the light current-quark mass (i.e., the pion mass) using Dyson-Schwinger and Bethe-Salpeter equations. Beyond a quark interaction kernel representing gluon-mediated interactions, leading beyond-rainbow-ladder effects at low energies are incorporated by back-coupling pions as explicit degrees of freedom. Building upon an earlier calculation of the quark-photon vertex that captures the branch cut associated with the two-pion threshold and the rho meson resonance, the form factor $F_{3π}(s,t,u)$ is determined for timelike Mandelstam s. In particular, predictions are made for the kinematics relevant for the Primakoff reaction studied with COMPASS/AMBER at CERN. |
| title | Timelike form factor for the anomalous process $γ^\ast π\rightarrow ππ$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2504.20899 |