Hybrid analysis of radiative corrections to neutron decay with current algebra and effective field theory

Abstract

We introduce a useful framework for high-precision studies of the neutron beta decay by merging the current algebra description and the fixed-order effective field theory calculation of the electroweak radiative corrections to the neutron axial form factor. We discuss the advantages of this hybrid method and show that it only requires a minimal amount of lattice QCD inputs to achieve a $10^{-4}$ theory accuracy for the Standard Model prediction of the neutron lifetime and the axial-to-vector coupling ratio $\lambda$, both important to the search for physics beyond the Standard Model.

arXiv commentVersion accepted by JHEP

References in corpus (35)

• FLAG Review 2021
• Unitary Isobar Model - MAID2007
• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• Reduced hadronic uncertainty in the determination of $V_{ud}$
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Radiative Corrections to Neutron and Nuclear Beta Decays Revisited
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• Precision Measurements and CKM Unitarity
• Proton and neutron electromagnetic form factors and uncertainties
• Right-handed charged currents in the era of the Large Hadron Collider
• The size of the proton - closing in on the radius puzzle
• Ground-state energy of pionic hydrogen to one loop
• Joint lattice QCD - dispersion theory analysis confirms the quark-mixing top-row unitarity deficit
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Model independent determination of the axial mass parameter in quasielastic neutrino-nucleon scattering
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• Electroweak axial structure functions and improved extraction of the $V_{ud}$ CKM matrix element
• First-principles calculation of electroweak box diagrams from lattice QCD
• Neutron beta decay in effective field theory
• Massive photons: an infrared regularization scheme for lattice QCD+QED
• Pion-induced radiative corrections to neutron beta-decay
• High-precision determination of the electric and magnetic radius of the proton
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• 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
• Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
• Complete theory of radiative corrections to $K_{\ell 3}$ decays and the $V_{us}$ update
• High-precision determination of the $K_{e3}$ radiative corrections
• New method for calculating electromagnetic effects in semileptonic beta-decays of mesons
• Radiative corrections to semileptonic beta decays: Progress and challenges
• A New Theory Framework for the Electroweak Radiative Corrections in $K_{l3}$ Decays
• All orders factorization and the Coulomb problem
• The Standard Model theory of neutron beta decay
• Pseudo-neutrino versus recoil formalism for 4-body phase space and applications to nuclear decay

Cited by in corpus (1)

• Unique forbidden beta decays at zero momentum transfer