Application of Bayesian statistics to the sector of decay constants in three-flavour ChPT
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913213516349440 |
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| author | Kolesár, Marián Říha, Jaroslav |
| author_facet | Kolesár, Marián Říha, Jaroslav |
| contents | The sector of decay constants of the octet of light pseudoscalar mesons in the framework of 'resummed' $SU(3)$ chiral perturbation theory is investigated. A theoretical prediction for the decay constant of $η$-meson is compared to a range of available determinations. Compatibility of these determinations with the latest fits of the $SU(3)$ low energy coupling constants is discussed. Using a Bayesian statistical approach, constraints on the low energy coupling constants $L_4^r$ and $L_5^r$, as well as higher order remainders to the decay constants $F_K$ and $F_η$, are extracted from the most recent experimental and lattice QCD inputs for the values of the decay constants. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2301_08027 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Application of Bayesian statistics to the sector of decay constants in three-flavour ChPT Kolesár, Marián Říha, Jaroslav High Energy Physics - Phenomenology High Energy Physics - Lattice The sector of decay constants of the octet of light pseudoscalar mesons in the framework of 'resummed' $SU(3)$ chiral perturbation theory is investigated. A theoretical prediction for the decay constant of $η$-meson is compared to a range of available determinations. Compatibility of these determinations with the latest fits of the $SU(3)$ low energy coupling constants is discussed. Using a Bayesian statistical approach, constraints on the low energy coupling constants $L_4^r$ and $L_5^r$, as well as higher order remainders to the decay constants $F_K$ and $F_η$, are extracted from the most recent experimental and lattice QCD inputs for the values of the decay constants. |
| title | Application of Bayesian statistics to the sector of decay constants in three-flavour ChPT |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2301.08027 |