High-precision determination of the $K_{e3}$ radiative corrections

Abstract

We report a high-precision calculation of the Standard Model electroweak radiative corrections in the $K\to \pi e^{+}\nu (\gamma )$ decay as a part of the combined theory effort to understand the existing anomaly in the determinations of $V_{us}$. Our new analysis features a chiral resummation of the large infrared-singular terms in the radiative corrections and a well-under-control strong interaction uncertainty based on the most recent lattice QCD inputs. While being consistent with the current state-of-the-art results obtained from chiral perturbation theory, we reduce the existing theory uncertainty from $10^{-3}$ to $10^{-4}$. Our result suggests that the Standard Model electroweak effects cannot account for the $V_{us}$ anomaly.

arXiv commentVersion accepted by PLB

References in corpus (19)

• Kaon Decays in the Standard Model
• Reduced hadronic uncertainty in the determination of $V_{ud}$
• An evaluation of |Vus| and precise tests of the Standard Model from world data on leptonic and semileptonic kaon decays
• Virtual Photons in Chiral Perturbation Theory
• Towards a consistent estimate of the chiral low-energy constants
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• Radiative corrections to K_{l3} decays
• 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
• Chiral Perturbation Theory with Virtual Photons and Leptons
• $\gamma W$-box Inside-Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum
• First-principles calculation of electroweak box diagrams from lattice QCD
• Radiative corrections in weak semi-leptoni processes at low energy: a two-step matching determination
• Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
• Radiative Corrections to K^0_{l3} Decays
• Radiative Corrections to the $K_{e3}^{\pm }$ Decay Revised
• Radiative corrections to the Dalitz plot of K_{l3}^\pm decays: Contribution of the four-body region
• Radiative corrections to the Dalitz plot of K_{l3}^\pm decays

Cited by in corpus (22)

• Scrutinizing CKM unitarity with a new measurement of the $K_{\mu 3}/K_{\mu 2}$ branching fraction
• Are the CKM anomalies induced by vector-like quarks? Limits from flavor changing and Standard Model precision tests
• First-Generation New Physics in Simplified Models: From Low-Energy Parity Violation to the LHC
• Global Fit of Modified Quark Couplings to EW Gauge Bosons and Vector-Like Quarks in Light of the Cabibbo Angle Anomaly
• Neutron Stars with Baryon Number Violation, Probing Dark Sectors
• Testing Lepton Flavor Universality with Pion, Kaon, Tau, and Beta Decays
• Update on $|V_{us}|$ and $|V_{us}/V_{ud}|$ from semileptonic kaon and pion decays
• Complete theory of radiative corrections to $K_{\ell 3}$ decays and the $V_{us}$ update
• 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
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Superallowed nuclear beta decays and precision tests of the Standard Model
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• $K_{\ell 3}$ form factors at the physical point: Toward the continuum limit
• 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
• Theoretical point of view on Cabibbo angle anomaly
• Workshop summary -- Kaons@CERN 2023
• Improved $K_{e3}$ radiative corrections sharpen the $K_{\mu 2}$--$K_{l3}$ discrepancy
• $V_{ud}$ radiative corrections with lattice input
• Electron Mass Singularities in Semileptonic Kaon Decays