Nucleon mass in covariant baryon chiral perturbation theory at leading two-loop order
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915425381515264 |
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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 within a manifestly relativistic formulation of baryon chiral perturbation theory (BChPT), extending the framework to leading two-loop order ($\mathcal{O}(p^5)$). By employing dimensional counting analysis and rigorously verifying the extended on-mass-shell scheme at this order, we obtain a complete chiral representation of the nucleon mass that preserves analyticity, respects proper power counting, and maintains renormalization-scale independence. The resulting expression exhibits excellent convergence, with $\mathcal{O}(p^5)$ contributions remaining small ($\sim 8~\rm{MeV}$). This formulation provides a robust foundation for chiral extrapolation, demonstrating remarkable agreement with lattice QCD data across a wide range of pion masses ($M_π\lesssim 300~\rm{MeV}$). The success of this calculation establishes two-loop relativistic BChPT as a precision tool for studying nucleon structure and related properties. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_02196 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nucleon mass in covariant baryon chiral perturbation theory 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 We calculate the nucleon mass within a manifestly relativistic formulation of baryon chiral perturbation theory (BChPT), extending the framework to leading two-loop order ($\mathcal{O}(p^5)$). By employing dimensional counting analysis and rigorously verifying the extended on-mass-shell scheme at this order, we obtain a complete chiral representation of the nucleon mass that preserves analyticity, respects proper power counting, and maintains renormalization-scale independence. The resulting expression exhibits excellent convergence, with $\mathcal{O}(p^5)$ contributions remaining small ($\sim 8~\rm{MeV}$). This formulation provides a robust foundation for chiral extrapolation, demonstrating remarkable agreement with lattice QCD data across a wide range of pion masses ($M_π\lesssim 300~\rm{MeV}$). The success of this calculation establishes two-loop relativistic BChPT as a precision tool for studying nucleon structure and related properties. |
| title | Nucleon mass in covariant baryon chiral perturbation theory at leading two-loop order |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2508.02196 |