New method for fitting the low-energy constants in chiral perturbation theory release_hwowfvndljgode5tzarkwrk3oq

by Qin-He Yang, Wei Guo, Feng-Jun Ge, Bo Huang, Hao Liu, Shao-Zhou Jiang

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abstracts[] {'sha1': 'a9ea5ba626c995f590802d3e367440a06ff9bce6', 'content': 'A new set of the next-to-leading order (NLO) and the next-to-next-to-leading\norder (NNLO) low-energy constants L_i^r and C_i^r in chiral perturbation\ntheory is obtained. These values are computed using the new experimental data\nwith a new calculation method. This method combines the traditional global fit\nand Monte Carlo method together. The higher order contributions are estimated\nwith this method. The theoretical values of the observables provide good\nconvergence at each chiral dimension, except for the NNLO values of the π K\nscattering lengths a_0^3/2 and a_0^1/2. The fitted values for L_i^r\nat NLO are close to their results with the new method at NNLO; i.e., these\nL_i^r are nearly order-independent in this method. The estimated ranges for\nC_i^r are consistent with those in the literature, and their possible upper\nor/and lower boundaries are given. The values of some linear combinations of\nC_i^r are also given, and they are more reliable. If one knows a more exact\nvalue C_i^r, another C_i^r can be obtained by these values.', 'mimetype': 'text/plain', 'lang': 'en'}
{'sha1': 'dba8bf3e197c41bc4a9aeab2d4d329a7504c56f8', 'content': 'A new set of the next-to-leading order (NLO) and the next-to-next-to-leading\norder (NNLO) low-energy constants $L_i^r$ and $C_i^r$ in chiral perturbation\ntheory is obtained. These values are computed using the new experimental data\nwith a new calculation method. This method combines the traditional global fit\nand Monte Carlo method together. The higher order contributions are estimated\nwith this method. The theoretical values of the observables provide good\nconvergence at each chiral dimension, except for the NNLO values of the $\\pi K$\nscattering lengths $a_0^{3/2}$ and $a_0^{1/2}$. The fitted values for $L_i^r$\nat NLO are close to their results with the new method at NNLO; i.e., these\n$L_i^r$ are nearly order-independent in this method. The estimated ranges for\n$C_i^r$ are consistent with those in the literature, and their possible upper\nor/and lower boundaries are given. The values of some linear combinations of\n$C_i^r$ are also given, and they are more reliable. If one knows a more exact\nvalue $C_i^r$, another $C_i^r$ can be obtained by these values.', 'mimetype': 'application/x-latex', 'lang': 'en'}
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{'index': 2, 'creator_id': None, 'creator': None, 'raw_name': 'Feng-Jun Ge', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
{'index': 3, 'creator_id': None, 'creator': None, 'raw_name': 'Bo Huang', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
{'index': 4, 'creator_id': None, 'creator': None, 'raw_name': 'Hao Liu', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
{'index': 5, 'creator_id': None, 'creator': None, 'raw_name': 'Shao-Zhou Jiang', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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license_slug ARXIV-1.0
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release_date 2020-11-12
release_stage accepted
release_type article
release_year 2020
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title New method for fitting the low-energy constants in chiral perturbation theory
version v3
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arxiv.base_id 2004.06085
arxiv.categories ['hep-ph']
arxiv.comments 24 pages, 3 figures
arxiv.journal_ref Phys. Rev. D 102, 094009 (2020)