Comment on "LaMET's Asymptotic Extrapolation vs. Inverse Problem"
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arXiv
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| Format: | Preprint |
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2025
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| author | Dutrieux, Hervé Karpie, Joe Monahan, Christopher J. Orginos, Kostas Radyushkin, Anatoly Richards, David Zafeiropoulos, Savvas |
| author_facet | Dutrieux, Hervé Karpie, Joe Monahan, Christopher J. Orginos, Kostas Radyushkin, Anatoly Richards, David Zafeiropoulos, Savvas |
| contents | In arXiv:2504.17706 {Dutrieux:2025jed} we criticized the excessive model-dependence introduced by rigid few-parameter fits to extrapolate lattice data in the large momentum effective theory (LaMET) when the data are noisy and lose signal before an exponential asymptotic behavior of the space-like correlators is established. In reaction, arXiv:2505.14619 {Chen:2025cxr} claims that even when the data is of poor quality, rigid parametrizations are better than attempts at representing the uncertainty using what they call "inverse problem methods". We clarify the fundamental differences in our perspectives regarding how to meaningfully handle noisy lattice matrix elements, especially when they exhibit a strong sensitivity to the choice of regularization in the inverse problem. We additionally correct misunderstandings of {Chen:2025cxr} on our message and methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_24037 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comment on "LaMET's Asymptotic Extrapolation vs. Inverse Problem" Dutrieux, Hervé Karpie, Joe Monahan, Christopher J. Orginos, Kostas Radyushkin, Anatoly Richards, David Zafeiropoulos, Savvas High Energy Physics - Lattice High Energy Physics - Phenomenology In arXiv:2504.17706 {Dutrieux:2025jed} we criticized the excessive model-dependence introduced by rigid few-parameter fits to extrapolate lattice data in the large momentum effective theory (LaMET) when the data are noisy and lose signal before an exponential asymptotic behavior of the space-like correlators is established. In reaction, arXiv:2505.14619 {Chen:2025cxr} claims that even when the data is of poor quality, rigid parametrizations are better than attempts at representing the uncertainty using what they call "inverse problem methods". We clarify the fundamental differences in our perspectives regarding how to meaningfully handle noisy lattice matrix elements, especially when they exhibit a strong sensitivity to the choice of regularization in the inverse problem. We additionally correct misunderstandings of {Chen:2025cxr} on our message and methods. |
| title | Comment on "LaMET's Asymptotic Extrapolation vs. Inverse Problem" |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.24037 |