The three-pion $K$-matrix at NLO in ChPT
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arXiv
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| Format: | Preprint |
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2024
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| author | Baeza-Ballesteros, Jorge Bijnens, Johan Husek, Tomáš Romero-López, Fernando Sharpe, Stephen R. Sjö, Mattias |
| author_facet | Baeza-Ballesteros, Jorge Bijnens, Johan Husek, Tomáš Romero-López, Fernando Sharpe, Stephen R. Sjö, Mattias |
| contents | The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_14293 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The three-pion $K$-matrix at NLO in ChPT Baeza-Ballesteros, Jorge Bijnens, Johan Husek, Tomáš Romero-López, Fernando Sharpe, Stephen R. Sjö, Mattias High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory The three-particle $K$-matrix, $\mathcal{K}_{\mathrm{df},3}$, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold. |
| title | The three-pion $K$-matrix at NLO in ChPT |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2401.14293 |