STI Publications - View Publication Form #16428
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Publication Information
| Title | Electroweak axial structure functions and improved extraction of the $V_{ud}$ CKM matrix element | ||||
| Abstract | We present a comprehensive analysis of the $\gamma W$ interference radiative correction to the neutron $\beta$-decay matrix element. Within a dispersion relations approach, we compute the axial-vector part of the $\gamma W$ box amplitude $\Box^{\gamma W}_A$ in terms of the isoscalar part of the $F_3^{\gamma W}$ interference structure function. Using the latest available phenomenology for $F_3^{\gamma W}$ from the nucleon elastic, resonance, deep-inelastic, and Regge regions, we find the real part of the box correction to be \mbox{$\Box^{\gamma W}_A = 3.90(9) \times 10^{-3}$}. This improved correction gives a theoretical estimate of the CKM matrix element $|V_{ud}|^2=0.94796(25)$, which represents a 4$\sigma$ violation of unitarity. | ||||
| Author(s) | Kyle Shiells, Peter Blunden, Wally Melnitchouk | ||||
| Publication Date | August 2021 | ||||
| Document Type | Journal Article | ||||
| Primary Institution | University of Manitoba, Winnipeg, Canada | ||||
| Affiliation | Theory & Comp Physics / THEORY CENTER / THEORY CENTER | ||||
| Funding Source | Nuclear Physics (NP) | ||||
| Proprietary? | No | ||||
| This publication conveys | Technical Science Results | ||||
| Document Numbers |
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| Associated with an experiment | No | ||||
| Associated with EIC | No | ||||
| Supported by Jefferson Lab LDRD Funding | No |
Journal Article
| Journal Name | Physical Review D |
| Refereed | Yes |
| Volume | 104 |
| Issue | |
| Page(s) | 033003 |
Attachments/Datasets/DOI Link
| Document(s) |
gW_box.pdf
(STI Document)
PhysRevD.104.033003.pdf
(Accepted Manuscript)
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| DOI Link | |
| Dataset(s) | (none) |
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