Radiative corrections to superallowed $β$ decays in effective field theory
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916486647382016 |
|---|---|
| author | Cirigliano, Vincenzo Dekens, Wouter de Vries, Jordy Gandolfi, Stefano Hoferichter, Martin Mereghetti, Emanuele |
| author_facet | Cirigliano, Vincenzo Dekens, Wouter de Vries, Jordy Gandolfi, Stefano Hoferichter, Martin Mereghetti, Emanuele |
| contents | The accuracy of $V_{ud}$ determinations from superallowed $β$ decays critically hinges on control over radiative corrections. Recently, substantial progress has been made on the single-nucleon, universal corrections, while nucleus-dependent effects, typically parameterized by a quantity $δ_\text{NS}$, are much less well constrained. Here, we lay out a program to evaluate this correction from effective field theory (EFT), highlighting the dominant terms as predicted by the EFT power counting. Moreover, we compare the results to a dispersive representation of $δ_\text{NS}$ and show that the expected momentum scaling applies even in the case of low-lying intermediate states. Our EFT framework paves the way towards ab-initio calculations of $δ_\text{NS}$ and thereby addresses the dominant uncertainty in $V_{ud}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18469 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Radiative corrections to superallowed $β$ decays in effective field theory Cirigliano, Vincenzo Dekens, Wouter de Vries, Jordy Gandolfi, Stefano Hoferichter, Martin Mereghetti, Emanuele High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory The accuracy of $V_{ud}$ determinations from superallowed $β$ decays critically hinges on control over radiative corrections. Recently, substantial progress has been made on the single-nucleon, universal corrections, while nucleus-dependent effects, typically parameterized by a quantity $δ_\text{NS}$, are much less well constrained. Here, we lay out a program to evaluate this correction from effective field theory (EFT), highlighting the dominant terms as predicted by the EFT power counting. Moreover, we compare the results to a dispersive representation of $δ_\text{NS}$ and show that the expected momentum scaling applies even in the case of low-lying intermediate states. Our EFT framework paves the way towards ab-initio calculations of $δ_\text{NS}$ and thereby addresses the dominant uncertainty in $V_{ud}$. |
| title | Radiative corrections to superallowed $β$ decays in effective field theory |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2405.18469 |