Pion fragmentation functions from a quark-jet model in a functional approach
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909653373288448 |
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| author | da Silveira, Roberto Correa Serna, Fernando E. El-Bennich, Bruno |
| author_facet | da Silveira, Roberto Correa Serna, Fernando E. El-Bennich, Bruno |
| contents | The elementary fragmentation function that describes the process $q\to π$ is predicted applying crossing and charge symmetry to the cut diagram of the pion valence quark distribution function. This elementary probability distribution defines the ladder-kernel of a quark jet fragmentation equation, which is solved self-consistently to obtain the full pion fragmentation function. The hadronization into a pion employs the complete Poincaré invariant Bethe-Salpeter wave function, though the overwhelming contribution to the fragmentation function is due the leading Bethe-Salpeter amplitude. Compared to a Nambu--Jona-Lasinio model prediction, the fragmentation function we obtain is enhanced in the range $z \lesssim 0.8$ but otherwise in good qualitative agreement. The full pion fragmentation function is overall greater than the elementary fragmentation function below $z\lesssim 0.6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19907 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pion fragmentation functions from a quark-jet model in a functional approach da Silveira, Roberto Correa Serna, Fernando E. El-Bennich, Bruno High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory The elementary fragmentation function that describes the process $q\to π$ is predicted applying crossing and charge symmetry to the cut diagram of the pion valence quark distribution function. This elementary probability distribution defines the ladder-kernel of a quark jet fragmentation equation, which is solved self-consistently to obtain the full pion fragmentation function. The hadronization into a pion employs the complete Poincaré invariant Bethe-Salpeter wave function, though the overwhelming contribution to the fragmentation function is due the leading Bethe-Salpeter amplitude. Compared to a Nambu--Jona-Lasinio model prediction, the fragmentation function we obtain is enhanced in the range $z \lesssim 0.8$ but otherwise in good qualitative agreement. The full pion fragmentation function is overall greater than the elementary fragmentation function below $z\lesssim 0.6$. |
| title | Pion fragmentation functions from a quark-jet model in a functional approach |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2412.19907 |