Excited-state uncertainties in lattice-QCD calculations of hadron masses and scattering phase shifts
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918314327932928 |
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| author | Detmold, William Grebe, Anthony V. Hackett, Daniel C. Illa, Marc Perry, Robert J. Shanahan, Phiala E. Wagman, Michael L. |
| author_facet | Detmold, William Grebe, Anthony V. Hackett, Daniel C. Illa, Marc Perry, Robert J. Shanahan, Phiala E. Wagman, Michael L. |
| contents | Lattice QCD has historically produced energy results interpretable as either estimates relying on implicit assumptions about asymptotic behavior or one-sided upper bounds. New Lanczos methods providing two-sided bounds with less-restrictive assumptions are introduced and quantified in a high-statistics calculation with unphysical quark masses. Two-sided bounds without spectral assumptions provide sub-percent constraints on the nucleon mass. Other bounds, which assume all states in a given energy window are resolved, provide meaningful two-sided constraints on nucleon-nucleon scattering phase shifts. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_22273 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Excited-state uncertainties in lattice-QCD calculations of hadron masses and scattering phase shifts Detmold, William Grebe, Anthony V. Hackett, Daniel C. Illa, Marc Perry, Robert J. Shanahan, Phiala E. Wagman, Michael L. High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory Lattice QCD has historically produced energy results interpretable as either estimates relying on implicit assumptions about asymptotic behavior or one-sided upper bounds. New Lanczos methods providing two-sided bounds with less-restrictive assumptions are introduced and quantified in a high-statistics calculation with unphysical quark masses. Two-sided bounds without spectral assumptions provide sub-percent constraints on the nucleon mass. Other bounds, which assume all states in a given energy window are resolved, provide meaningful two-sided constraints on nucleon-nucleon scattering phase shifts. |
| title | Excited-state uncertainties in lattice-QCD calculations of hadron masses and scattering phase shifts |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2601.22273 |