$V_{ud}$ radiative corrections with lattice input

Abstract

We will describe several pioneering efforts in the study of electromagnetic radiative corrections to semileptonic decay processes, with particular emphasis on the role of lattice QCD. These studies are essential for the precise extraction of the matrix element $V_{ud}$ from beta decays of pion, free neutron and $J^P=0^{+}$ nuclei, and are crucial to address several recently-emerged anomalies involving $V_{ud}$ and $V_{us}$, which may provide hints for physics beyond the Standard Model.

arXiv comment6 pages, 4 figures. Contribution to the 2021 EW session of the 55th Rencontres de Moriond

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• 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
• Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
• High-precision determination of the $K_{e3}$ radiative corrections
• Improved $K_{e3}$ radiative corrections sharpen the $K_{\mu 2}$--$K_{l3}$ discrepancy

Cited by in corpus (2)

• Radiative corrections to semileptonic beta decays: Progress and challenges
• Towards a discovery of BSM physics from the Cabibbo angle anomaly