A complete QCD×QED, next-to-leading-power factorization now gives a percent-level prediction for B⁻→μ⁻ν̄(γ) with all structure-dependent electromagnetic corrections included.
Virtual Photon Emission in Leptonic Decays of Charged Pseudoscalar Mesons
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
We study the radiative leptonic decays $P\to\ell\nu_\ell\,\ell^{\prime\,+}\ell^{\prime\,-}$, where $P$ is a pseudoscalar meson and $\ell$ and $\ell^\prime$ are charged leptons. In such decays the emitted photon is off-shell and, in addition to the "point-like" contribution in which the virtual photon is emitted either from the lepton or the meson treated as a point-like particle, four structure-dependent (SD) form factors contribute to the amplitude. We present a strategy for the extraction of the SD form factors and implement it in an exploratory lattice computation of the decay rates for the four channels of kaon decays ($\ell,\ell^\prime=e,\mu$). It is the SD form factors which describe the interaction between the virtual photon and the internal hadronic structure of the decaying meson, and in our procedure we separate the SD and point-like contributions to the amplitudes. We demonstrate that the form factors can be extracted with good precision and, in spite of the unphysical quark masses used in our simulation ($m_\pi\simeq 320\,$MeV and $m_K\simeq 530\,$MeV), the results for the decay rates are in reasonable semiquantitative agreement with experimental data (for the channels where these exist). Following this preparatory work, the emphasis of our future work will be on obtaining results at physical quark masses and on the control of the systematic uncertainties associated with discretisation and finite-volume errors.
representative citing papers
First complete lattice QCD determination of the four structure-dependent form factors for K- → ℓ- ν̄ℓ ℓ'+ ℓ'- decays at physical quark masses with controlled statistical and systematic errors.
A first-principles lattice QCD+QED calculation determines the structure-dependent radiative correction and yields the most precise Standard-Model predictions for R_{e/μ} in pion and kaon leptonic decays.
Lattice QCD supplies Standard Model branching-fraction predictions for all four K to l nu l' l' channels with controlled uncertainties of 2-7 percent, consistent with published data and preliminary NA62 results.
Lattice QCD calculation of branching ratios and form factors for π and K → ℓνℓγ decays at physical pion mass with IVR method, showing agreement with PIBETA for π→eνeγ and tensions with some kaon data.
citing papers explorer
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The Simplest B Decay, Precisely
A complete QCD×QED, next-to-leading-power factorization now gives a percent-level prediction for B⁻→μ⁻ν̄(γ) with all structure-dependent electromagnetic corrections included.
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Complete lattice QCD calculation of $K^{-}\to \ell^{-}\bar{\nu}_{\ell}\ell^{'+}\ell^{'-}$ form factors
First complete lattice QCD determination of the four structure-dependent form factors for K- → ℓ- ν̄ℓ ℓ'+ ℓ'- decays at physical quark masses with controlled statistical and systematic errors.
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First Lattice QCD Determination of Lepton-Flavor-Universality Ratios in Light-Meson Leptonic Decays
A first-principles lattice QCD+QED calculation determines the structure-dependent radiative correction and yields the most precise Standard-Model predictions for R_{e/μ} in pion and kaon leptonic decays.
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Rare kaon decays $K^- \to \ell^- \bar{\nu}_\ell \ell'^{+} \ell'^{-}$: Standard Model predictions from lattice QCD
Lattice QCD supplies Standard Model branching-fraction predictions for all four K to l nu l' l' channels with controlled uncertainties of 2-7 percent, consistent with published data and preliminary NA62 results.
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Lattice Calculation of Light Meson Radiative Leptonic Decays
Lattice QCD calculation of branching ratios and form factors for π and K → ℓνℓγ decays at physical pion mass with IVR method, showing agreement with PIBETA for π→eνeγ and tensions with some kaon data.