Chiral Representation of the Nucleon Mass at Leading Two-loop Order
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916658709266432 |
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| author | Liang, Ze-Rui Chen, Han-Xue Guo, Feng-Kun Guo, Zhi-Hui Yao, De-Liang |
| author_facet | Liang, Ze-Rui Chen, Han-Xue Guo, Feng-Kun Guo, Zhi-Hui Yao, De-Liang |
| contents | We calculate the nucleon mass in a manifestly relativistic baryon chiral perturbation theory up to the leading two-loop order. Through dimensional counting analysis, we perform the chiral expansion and verify the validity of the extended-on-mass-shell scheme at the two-loop level. As a result, we obtain the complete chiral representation of the nucleon mass up to $\mathcal{O}(p^5)$, which preserves the original analytic properties and satisfies the correct power counting. The obtained chiral result is well-suited for chiral extrapolation and provides an excellent description of lattice QCD data across a broad range of pion masses. We find that the $\mathcal{O}(p^5)$ contribution is small, approximately $10$ MeV, and varies only mildly with increasing pion mass, demonstrating good convergence of the nucleon mass up to pion masses of about 350 MeV at two-loop order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chiral Representation of the Nucleon Mass at Leading Two-loop Order Liang, Ze-Rui Chen, Han-Xue Guo, Feng-Kun Guo, Zhi-Hui Yao, De-Liang High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory We calculate the nucleon mass in a manifestly relativistic baryon chiral perturbation theory up to the leading two-loop order. Through dimensional counting analysis, we perform the chiral expansion and verify the validity of the extended-on-mass-shell scheme at the two-loop level. As a result, we obtain the complete chiral representation of the nucleon mass up to $\mathcal{O}(p^5)$, which preserves the original analytic properties and satisfies the correct power counting. The obtained chiral result is well-suited for chiral extrapolation and provides an excellent description of lattice QCD data across a broad range of pion masses. We find that the $\mathcal{O}(p^5)$ contribution is small, approximately $10$ MeV, and varies only mildly with increasing pion mass, demonstrating good convergence of the nucleon mass up to pion masses of about 350 MeV at two-loop order. |
| title | Chiral Representation of the Nucleon Mass at Leading Two-loop Order |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2502.19168 |