Light quark mass dependence of nucleon mass to two-loop order
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914831077998592 |
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| author | Chen, Long-Bin Hu, Siwei Jia, Yu Mo, Zhewen |
| author_facet | Chen, Long-Bin Hu, Siwei Jia, Yu Mo, Zhewen |
| contents | We investigate the nucleon self energy through the sixth chiral order in the covariant $SU(2)$ chiral perturbation theory ($χ$PT) in the single baryon sector. The validity of the extended on-mass-shell (EOMS) renormalization scheme is explicitly verified to two-loop order, manifested by the miraculous cancellation of all nonlocal divergences and power-counting-breaking (PCB) terms that are nonanalytic in pion mass. Using the $σ_{πN}$ term determined from the latest lattice simulation to constrain some unknown higher-order low energy constants (LECs), we predict the nucleon mass in the chiral limit to be $856.6\pm 1.7$ MeV. It is found that the EOMS scheme exhibits quite satisfactory convergence behavior through ${\cal O}(q^6)$ around physical point. We also predict the pion mass dependence of the nucleon mass to the accuracy of ${\cal O}(q^6)$, which is in satisfactory agreement with the recent lattice results over a wide range of pion mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04124 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Light quark mass dependence of nucleon mass to two-loop order Chen, Long-Bin Hu, Siwei Jia, Yu Mo, Zhewen High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory We investigate the nucleon self energy through the sixth chiral order in the covariant $SU(2)$ chiral perturbation theory ($χ$PT) in the single baryon sector. The validity of the extended on-mass-shell (EOMS) renormalization scheme is explicitly verified to two-loop order, manifested by the miraculous cancellation of all nonlocal divergences and power-counting-breaking (PCB) terms that are nonanalytic in pion mass. Using the $σ_{πN}$ term determined from the latest lattice simulation to constrain some unknown higher-order low energy constants (LECs), we predict the nucleon mass in the chiral limit to be $856.6\pm 1.7$ MeV. It is found that the EOMS scheme exhibits quite satisfactory convergence behavior through ${\cal O}(q^6)$ around physical point. We also predict the pion mass dependence of the nucleon mass to the accuracy of ${\cal O}(q^6)$, which is in satisfactory agreement with the recent lattice results over a wide range of pion mass. |
| title | Light quark mass dependence of nucleon mass to two-loop order |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2406.04124 |