Radiative Corrections to Neutron and Nuclear Beta Decays Revisited

Abstract

The universal radiative corrections common to neutron and super-allowed nuclear beta decays (also known as ``inner'' corrections) are revisited in light of a recent dispersion relation study that found $+2.467(22)\%$, i.e.~about $2.4\sigma$ larger than the previous evaluation. For comparison, we consider several alternative computational methods. All employ an updated perturbative QCD four-loop Bjorken sum rule (BjSR) defined QCD coupling supplemented with a nucleon form factor based Born amplitude to estimate axial-vector induced hadronic contributions. In addition, we now include hadronic contributions from low $Q^2$ loop effects based on duality considerations and vector meson resonance interpolators. Our primary result, $2.426(32)\%$ corresponds to an average of a Light Front Holomorphic QCD approach and a three resonance interpolator fit. It reduces the dispersion relation discrepancy to approximately $1.1\sigma$ and thereby provides a consistency check. Consequences of our new radiative correction estimate, along with that of the dispersion relation result, for CKM unitarity are discussed. The neutron lifetime-$g_A$ connection is updated and shown to suggest a shorter neutron lifetime $<879$ s. We also find an improved bound on exotic, non-Standard Model, neutron decays or oscillations of the type conjectured as solutions to the neutron lifetime problem, $\text{BR}(n\to \text{exotics})<0.16\%$.

References in corpus (13)

• Reduced hadronic uncertainty in the determination of $V_{ud}$
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• 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?
• $\gamma W$-box Inside-Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• Dark Side of the Neutron?
• Exotic decay channels are not the cause of the neutron lifetime anomaly
• Neutron lifetime and dark decay of the neutron and hydrogen
• Addendum to arXiv:0907.2110: "Charm and Bottom Quark Masses: An Update"
• Toward a First-Principles Calculation of Electroweak Box Diagrams
• A very Practical Guide to Light Front Holographic QCD

Cited by in corpus (103)

• FLAG Review 2021
• 50 Years of Quantum Chromodynamics
• 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
• Global Fit to Modified Neutrino Couplings and the Cabibbo-Angle Anomaly
• 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
• Comprehensive analysis of beta decays within and beyond the Standard Model
• Electroweak axial structure functions and improved extraction of the $V_{ud}$ CKM matrix element
• FLAG Review 2024
• Scrutinizing CKM unitarity with a new measurement of the $K_{\mu 3}/K_{\mu 2}$ branching fraction
• The Fermi constant from muon decay versus electroweak fits and CKM unitarity
• Cabibbo anomaly versus electroweak precision tests: An exploration of extensions of the Standard Model
• Explaining $b\to s{\ell }^{+}{\ell }^{-}$ and the Cabibbo Angle Anomaly with a Vector Triplet
• On the Statistical Treatment of the Cabibbo Angle Anomaly
• Searching for Lepton Flavour (Universality) Violation and Collider Signals from a Singly-Charged Scalar Singlet
• Are the CKM anomalies induced by vector-like quarks? Limits from flavor changing and Standard Model precision tests
• A Minimal Explanation of Flavour Anomalies: B-Meson Decays, Muon Magnetic Moment, and the Cabibbo Angle
• First-Generation New Physics in Simplified Models: From Low-Energy Parity Violation to the LHC
• Addressing the CKM Unitarity Problem with a Vector-like Up Quark
• Vector-like Singlet Quarks: a Roadmap
• Unveiling Hidden Physics at the LHC
• Pion-induced radiative corrections to neutron beta-decay
• Global Analysis of Leptophilic Z' Bosons
• Improved determination of the $\beta$-${\overline{\nu }}_e$ angular correlation coefficient $a$ in free neutron decay with the $a$SPECT spectrometer
• Effective field theory for radiative corrections to charged-current processes I: Vector coupling
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
• Global Fit of Modified Quark Couplings to EW Gauge Bosons and Vector-Like Quarks in Light of the Cabibbo Angle Anomaly
• New Physics effects in leptonic and semileptonic decays
• Neutron Stars with Baryon Number Violation, Probing Dark Sectors
• Particle Physics at the European Spallation Source
• Muon $g-2$ and CKM Unitarity in Extra Lepton Models
• Testing Lepton Flavor Universality with Pion, Kaon, Tau, and Beta Decays
• An accurate evaluation of electron (anti-)neutrino scattering on nucleons
• Update on $|V_{us}|$ and $|V_{us}/V_{ud}|$ from semileptonic kaon and pion decays
• A low-energy perspective on the minimal left-right symmetric model
• Measurement of the neutron decay electron-antineutrino angular correlation by the aCORN experiment
• Electroweak nuclear radii constrain the isospin breaking correction to $V_{ud}$
• Leptonic anomalous magnetic moments in $\nu$SMEFT
• Constraints on the charged currents in general neutrino interactions with sterile neutrinos
• Beta-decay implications for the W-boson mass anomaly
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• $\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay
• Testing isospin symmetry breaking in ab initio nuclear theory
• An $\text{ab initio}$ strategy for taming nuclear-structure dependence of $V_{ud}$ extractions: the ${}^{10}\mathrm{C}\to {}^{10}\mathrm{B}$ superallowed transition
• Radiative corrections to superallowed $\beta$ decays in effective field theory
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Ab initio calculation of the $\beta$ decay spectrum of ${}^6$He
• A New Theory Framework for the Electroweak Radiative Corrections in $K_{l3}$ Decays
• Superallowed nuclear beta decays and precision tests of the Standard Model
• All orders factorization and the Coulomb problem
• Correlating Non-Resonant Di-Electron Searches at the LHC to the Cabibbo-Angle Anomaly and Lepton Flavour Universality Violation
• The Standard Model theory of neutron beta decay
• Model-independent determination of nuclear weak form factors and implications for Standard Model precision tests
• Field Theory of the Fermi Function
• $K_{l3}$ form factors at the physical point on (10.9 fm)${}^3$ volume
• Sterile neutrinos with non-standard interactions in $\beta$- and $0\nu \beta \beta$-decay experiments
• Nuclear charge radius of ${}^{26m}$Al and its implication for V${}_{ud}$ in the quark-mixing matrix
• Towards fully non-perturbative computation of inelastic $\ell N$ scattering cross sections from lattice QCD
• One colorful resolution to the neutrino mass generation, three lepton flavor universality anomalies, and the Cabibbo angle anomaly
• Neutron lifetime anomaly and mirror matter theory
• The role of non-universal $Z$ couplings in explaining the $V_{us}$ anomaly
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Opportunities and open questions in modern $\beta$ decay
• Correlating New Physics Effects in Semileptonic $\Delta C=1$ and $\Delta S=1$ Processes
• How Macroscopic Limits on Neutron Star Baryon Loss Yield Microscopic Limits on Non-Standard-Model Baryon Decay
• Probing Dark Sectors with Neutron Stars
• Renormalization of beta decay at three loops and beyond
• Study of Two-Photon Exchange via the Beam Transverse Single Spin Asymmetry in Electron-Proton Elastic Scattering at Forward Angles over a Wide Energy Range
• Decays of the Heavy Top and New Insights on ${\epsilon }_K$ in a one-VLQ Minimal Solution to the CKM Unitarity Problem
• A decay microscope for trapped neon isotopes
• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size
• Constraints on the charged-current non-standard neutrino interactions induced by the gauge boson $W^{\prime }$
• High-Precision Branching Ratio Measurement and Spin Assignment Implications for ${}^{62}$Ga Superallowed $\beta$ Decay
• Influence of the recoil-order and radiative correction on the beta decay correlation coefficients in mirror decays
• Towards a discovery of BSM physics from the Cabibbo angle anomaly
• Hybrid analysis of radiative corrections to neutron decay with current algebra and effective field theory
• Branching ratio of the super-allowed beta decay of 10C
• Generalized eikonal identities for charged currents
• On the correlation coefficient T(E_e) of the neutron beta decay, caused by the correlation structure invariant under discrete P, C and T symmetries
• CP-odd and CP-even Weak-Basis Invariants in the Presence of Vector-Like Quarks
• Radiative corrections of order $O(\alpha E_e/m_N)$ to Sirlin's radiative corrections of order $O(\alpha /\pi )$, induced by the hadronic structure of the neutron
• Precision pulse shape simulation for proton detection at the Nab experiment
• Theoretical description of the neutron beta decay in the standard model at the level of 10^{-5}
• Quark flavor physics and lattice QCD
• Radiative corrections to neutron beta decay and (anti)neutrino-nucleon scattering from low-energy effective field theory
• Corrections of order O(E^2_e/m^2_N), caused by weak magnetism and proton recoil, to the neutron lifetime and correlation coefficients of the neutron beta decay
• Improved $K_{e3}$ radiative corrections sharpen the $K_{\mu 2}$--$K_{l3}$ discrepancy
• Neutron-neutral particle mixing and its observable consequences
• Pion Beta Decay and CKM Unitarity
• Radiative Corrections and the Renormalization Group for the Two-Nucleon Interaction in Effective Field Theory
• Most general neutron decay correlations: Standard Model recoil and radiative corrections
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Cabibbo angle anomalies and a global fit to vector-like quarks
• Electron Mass Singularities in Semileptonic Kaon Decays
• Round table on Standard Model Anomalies
• Testing effective field theory with the most general neutron decay correlations
• Do the Small Numbers in the Quark Mixing arise from New Physics?
• Fill and dump measurement of the neutron lifetime using an asymmetric magneto-gravitational trap
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms