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New method for calculating electromagnetic effects in semileptonic beta-decays of mesons

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arxiv 2009.00459 v2 pith:RIDPHM3Q submitted 2020-09-01 hep-lat hep-exhep-phnucl-exnucl-th

Chien-Yeah Seng , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Ulf-G. Mei{ss}ner This is my paper · ORCID
classification hep-lathep-exhep-phnucl-exnucl-th
keywords effectselectromagneticmatrixsemileptonicthemanomaliesarguebeta
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct several classes of hadronic matrix elements and relate them to the low-energy constants in Chiral Perturbation Theory that describe the electromagnetic effects in the semileptonic beta decay of the pion and the kaon. We propose to calculate them using lattice QCD, and argue that such a calculation will make an immediate impact to a number of interesting topics at the precision frontier, including the outstanding anomalies in $|V_{us}|$ and the top-row Cabibbo-Kobayashi-Maskawa matrix unitarity.

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  1. Semileptonic kaon decays and the precise determination of $V_{us}$

    hep-ph 2025-02 unverdicted novelty 2.0 of 10

    A hybrid chiral perturbation theory and lattice QCD treatment of radiative corrections to kaon semileptonic decays is claimed to reach 10^-4 precision, yielding V_us = 0.22308(39)(39)(3) and sharpening the Cabibbo ang...

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