On the scalar $πK$ form factor beyond the elastic region
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916841132130304 |
|---|---|
| author | Noël, Frederic von Detten, Leon Hanhart, Christoph Hoferichter, Martin Kubis, Bastian |
| author_facet | Noël, Frederic von Detten, Leon Hanhart, Christoph Hoferichter, Martin Kubis, Bastian |
| contents | Pion-kaon ($πK$) final states, often appearing in heavy-particle decays at the precision frontier, are important for Standard-Model tests, to describe crossed channels with exotic states, and for spectroscopy of excited kaon resonances. We construct a representation of the $πK$ $S$-wave form factor using the elastic $πK$ scattering phase shift via dispersion relations in the elastic region and extend this model into the inelastic region using resonance exchange, while maintaining unitarity and the correct analytic structure. As a first application, we successfully described the $τ\to K_S πν_τ$ spectrum to not only achieve a better distinction between $S$- and $P$-wave contributions, but also to provide an improved estimate of the $CP$ asymmetry produced by a tensor operator as well as the forward-backward asymmetry, both of which can be confronted with future data at Belle II. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21883 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the scalar $πK$ form factor beyond the elastic region Noël, Frederic von Detten, Leon Hanhart, Christoph Hoferichter, Martin Kubis, Bastian High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory Pion-kaon ($πK$) final states, often appearing in heavy-particle decays at the precision frontier, are important for Standard-Model tests, to describe crossed channels with exotic states, and for spectroscopy of excited kaon resonances. We construct a representation of the $πK$ $S$-wave form factor using the elastic $πK$ scattering phase shift via dispersion relations in the elastic region and extend this model into the inelastic region using resonance exchange, while maintaining unitarity and the correct analytic structure. As a first application, we successfully described the $τ\to K_S πν_τ$ spectrum to not only achieve a better distinction between $S$- and $P$-wave contributions, but also to provide an improved estimate of the $CP$ asymmetry produced by a tensor operator as well as the forward-backward asymmetry, both of which can be confronted with future data at Belle II. |
| title | On the scalar $πK$ form factor beyond the elastic region |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2410.21883 |