Isospin-breaking corrections to weak decays: the current status and a new infrared improvement
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911758417920000 |
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| author | Di Carlo, Matteo |
| author_facet | Di Carlo, Matteo |
| contents | We provide an overview of the current state of lattice calculations concerning isospin-breaking corrections in weak decays, focusing in particular on leptonic decays of light pseudoscalar mesons. We examine the two currently existing calculations, placing a particular emphasis on the role of electromagnetic finite-volume corrections. Given the large systematic uncertainty associated with such corrections, we propose a novel method to improve the finite-volume scaling of leptonic decay rates and other hadronic observables, like hadron masses and the hadronic vacuum polarization contribution to the muon $g{-}2$. We introduce a new prescription for the QED action, referred to as QED$_\mathrm{r}$, which effectively removes finite-volume corrections at $\mathcal{O}(1/L^3)$ and consequently shifts the systematic uncertainty to a higher order. The specifics of this action, the practical implementation of the infrared improvement, and the ongoing numerical tests are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07666 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isospin-breaking corrections to weak decays: the current status and a new infrared improvement Di Carlo, Matteo High Energy Physics - Lattice We provide an overview of the current state of lattice calculations concerning isospin-breaking corrections in weak decays, focusing in particular on leptonic decays of light pseudoscalar mesons. We examine the two currently existing calculations, placing a particular emphasis on the role of electromagnetic finite-volume corrections. Given the large systematic uncertainty associated with such corrections, we propose a novel method to improve the finite-volume scaling of leptonic decay rates and other hadronic observables, like hadron masses and the hadronic vacuum polarization contribution to the muon $g{-}2$. We introduce a new prescription for the QED action, referred to as QED$_\mathrm{r}$, which effectively removes finite-volume corrections at $\mathcal{O}(1/L^3)$ and consequently shifts the systematic uncertainty to a higher order. The specifics of this action, the practical implementation of the infrared improvement, and the ongoing numerical tests are also discussed. |
| title | Isospin-breaking corrections to weak decays: the current status and a new infrared improvement |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.07666 |