Improved $K_{e3}$ radiative corrections sharpen the $K_{\mu 2}$--$K_{l3}$ discrepancy

Abstract

The measurements of $V_{us}$ in leptonic $(K_{\mu 2})$ and semileptonic $(K_{l3})$ kaon decays exhibit a $3\sigma$ disagreement, which could originate either from physics beyond the Standard Model or some large unidentified Standard Model systematic effects. Clarifying this issue requires a careful examination of all existing Standard Model inputs. Making use of a newly-proposed computational framework and the most recent lattice QCD results, we perform a comprehensive re-analysis of the electroweak radiative corrections to the $K_{e3}$ decay rates that achieves an unprecedented level of precision of $10^{-4}$, which improves the current best results by almost an order of magnitude. No large systematic effects are found, which suggests that the electroweak radiative corrections should be removed from the ``list of culprits'' responsible for the $K_{\mu 2}$--$K_{l3}$ discrepancy.

arXiv commentVersion accepted by JHEP

References in corpus (58)

• FLAG Review 2019
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Two-pion contribution to hadronic vacuum polarization
• Kaon Decays in the Standard Model
• Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
• 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
• Flavor Physics in the Quark Sector
• Virtual Photons in Chiral Perturbation Theory
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Towards a consistent estimate of the chiral low-energy constants
• Mesonic low-energy constants
• Radiative Corrections to Neutron and Nuclear Beta Decays Revisited
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• A sum rule approach to the violation of Dashen's theorem
• Precise Determination of |V{us}| from Lattice Calculations of Pseudoscalar Decay Constants
• 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
• Beta decays as sensitive probes of lepton flavor universality
• Detailed Report of the MuLan Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant
• Chiral Perturbation Theory with Virtual Photons and Leptons
• $\gamma W$-box Inside-Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• A note on isospin violation in Pl2(gamma) decays
• $K\to \pi$ semileptonic form factors with $N_f=2+1+1$ Twisted Mass fermions
• Dispersive representation and shape of the Kl3 form factors: robustness
• First-principles calculation of electroweak box diagrams from lattice QCD
• K^L_{mu3} decay: A Stringent Test of Right-Handed Quark Currents
• 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
• Radiative corrections in weak semi-leptoni processes at low energy: a two-step matching determination
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Electromagnetic effects in Kl3 decays
• On the Statistical Treatment of the Cabibbo Angle Anomaly
• $|V_{us}|$ from $K_{\ell 3}$ decay and four-flavor lattice QCD
• Combined Explanation of the $Z\to b\bar{b}$ Forward-Backward Asymmetry, the Cabibbo Angle Anomaly, $\tau \to \mu \nu \nu$ and $b\to s{\ell }^{+}{\ell }^{-}$ Data
• Determination of $|V_{us}|$ from a lattice-QCD calculation of the $K\to \pi \ell \nu$ semileptonic form factor with physical quark masses
• Matching Chiral Perturbation Theory and the Dispersive Representation of the Scalar Kpi Form Factor
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Constraints on the form factors for K --> pi l nu and implications for V_us
• Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
• Kaon semileptonic vector form factor and determination of |V_{us}| using staggered fermions
• Muon $g-2$ and CKM Unitarity in Extra Lepton Models
• Electromagnetic charge radius of the pion at high precision
• Vector-like Quark Interpretation for the CKM Unitarity Violation, Excess in Higgs Signal Strength, and Bottom Quark Forward-Backward Asymmetry
• On the mass difference between proton and neutron
• 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
• Laboratory tests of the ordinary-mirror particle oscillations and the extended CKM matrix
• Radiative Corrections to the $K_{e3}^{\pm }$ Decay Revised
• $K_{l3}$ form factors at the physical point on (10.9 fm)${}^3$ volume
• Two-Meson Form Factors in Unitarized Chiral Perturbation Theory
• 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 (3)

• First-Generation New Physics in Simplified Models: From Low-Energy Parity Violation to the LHC
• Unveiling Hidden Physics at the LHC
• $V_{ud}$ radiative corrections with lattice input