All orders factorization and the Coulomb problem
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917764476698624 |
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| author | Hill, Richard J. Plestid, Ryan |
| author_facet | Hill, Richard J. Plestid, Ryan |
| contents | In the limit of large nuclear charge, $Z\gg 1$, or small lepton velocity, $β\ll 1$, Coulomb corrections to nuclear beta decay and related processes are enhanced as $Zα/β$ and become large or even non-perturbative (with $α$ the QED fine structure constant). We provide a constructive demonstration of factorization to all orders in perturbation theory for these processes and compute the all-orders hard and soft functions appearing in the factorization formula. We clarify the relationship between effective field theory amplitudes and historical treatments of beta decay in terms of a Fermi function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15929 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | All orders factorization and the Coulomb problem Hill, Richard J. Plestid, Ryan High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory In the limit of large nuclear charge, $Z\gg 1$, or small lepton velocity, $β\ll 1$, Coulomb corrections to nuclear beta decay and related processes are enhanced as $Zα/β$ and become large or even non-perturbative (with $α$ the QED fine structure constant). We provide a constructive demonstration of factorization to all orders in perturbation theory for these processes and compute the all-orders hard and soft functions appearing in the factorization formula. We clarify the relationship between effective field theory amplitudes and historical treatments of beta decay in terms of a Fermi function. |
| title | All orders factorization and the Coulomb problem |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2309.15929 |