An $\text{ab initio}$ strategy for taming nuclear-structure dependence of $V_{ud}$ extractions: the ${}^{10}\mathrm{C}\to {}^{10}\mathrm{B}$ superallowed transition

Abstract

We report the first \textit{ab initio} calculation of the nuclear-structure-dependent radiative correction ${\delta }_{\mathrm{NS}}$ to the ${}^{10}\mathrm{C}\to {}^{10}\mathrm{B}$ superallowed transition, computed with the no-core shell model and chiral effective field theory. We obtain ${\delta }_{\mathrm{NS}}=-0.422(29{)}_{\mathrm{nuc}}(12{)}_{n,\mathrm{el}}$ with a $1.6$-times reduction in the total uncertainty when compared to the current literature estimate based on the shell model and Fermi gas picture. This work paves the way for a precise determination of $V_{ud}$ from superallowed beta decays within a systematically improvable framework.

10 pages, 6 figures

References in corpus (45)

• Correlated Electrons in High Temperature Superconductors
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Reduced hadronic uncertainty in the determination of $V_{ud}$
• Superallowed 0+ --> 0+ nuclear beta decays: 2014 critical survey, with precise results for Vud and CKM unitarity
• Nuclear shadowing
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Radiative Corrections to Neutron and Nuclear Beta Decays Revisited
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• The CKM unitarity problem: A trace of new physics at the TeV scale?
• Joint lattice QCD - dispersion theory analysis confirms the quark-mixing top-row unitarity deficit
• Subleading contributions to the three-nucleon contact interaction
• Beta decays as sensitive probes of lepton flavor universality
• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• Global Electroweak Fit and Vector-Like Leptons in Light of the Cabibbo Angle Anomaly
• $\gamma W$-box Inside-Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum
• A measurement of $alph{a}_s(Q^2)$ from the Gross-Llewellyn Smith Sum Rule
• Scrutinizing CKM unitarity with a new measurement of the $K_{\mu 3}/K_{\mu 2}$ branching fraction
• Cabibbo anomaly versus electroweak precision tests: An exploration of extensions of the Standard Model
• On the Statistical Treatment of the Cabibbo Angle Anomaly
• First-Generation New Physics in Simplified Models: From Low-Energy Parity Violation to the LHC
• Nuclear Shadowing in Electro-Weak Interactions
• Lorentz Integral Transform for Inclusive and Exclusive Cross Sections with the Lanczos Method
• The Jacobi Polinomials QCD Analysis of the CCFR Data for xF_3 and the Q^2-Dependence of the Gross-Llewllyn Smith Sum Rule
• Quenching of spin operators in the calculation of radiative corrections for nuclear beta decay
• Global Fit of Modified Quark Couplings to EW Gauge Bosons and Vector-Like Quarks in Light of the Cabibbo Angle Anomaly
• Searches for massive neutrinos with mechanical quantum sensors
• Nuclear spin-dependent parity-violating effects in light polyatomic molecules
• Ab initio nuclear response functions for dark matter searches
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• Role of chiral two-body currents in ${}^6$Li magnetic properties in light of a new precision measurement with the relative self-absorption technique
• Radiative corrections to superallowed $\beta$ decays in effective field theory
• Ab initio informed evaluation of the radiative capture of protons on ${}^7$Be
• Superallowed nuclear beta decays and precision tests of the Standard Model
• A Mathematica script for harmonic oscillator nuclear matrix elements arising in semileptonic electroweak interactions
• Adler Function, DIS sum rules and Crewther Relations
• The Standard Model theory of neutron beta decay
• Ab initio calculations of electric dipole moments of light nuclei
• Probing uncertainties of nuclear structure corrections in light muonic atoms
• Muon Capture on ${}^6$Li, ${}^{12}$C, and ${}^{16}$O from $AbInitio$ Nuclear Theory
• The BeEST Experiment: Searching for Beyond Standard Model Neutrinos using ${}^7$Be Decay in STJs
• A formalism to assess the accuracy of nuclear-structure weak interaction effects in precision $\beta$-decay studies

Cited by in corpus (9)

• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size
• Unique forbidden beta decays at zero momentum transfer
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Conformal prediction for uncertainties in nucleon-nucleon scattering
• Computational schemes for the Magnus expansion of the in-medium similarity renormalization group
• $A_{\beta }[E_{\beta }]$ in ${}^{37}$K decay: new physics with opposite $\beta$ helicity
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms