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Renormalization of beta decay at three loops and beyond
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Renormalization of beta decay at three loops and beyond
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The anomalous dimension for heavy-heavy-light effective theory operators describing nuclear beta decay is computed through three-loop order in the static limit. The result at order $Z^2\alpha^3$ corrects a previous result in the literature. An all-orders symmetry is shown to relate the anomalous dimensions at leading and subleading powers of $Z$ at a given order of $\alpha$. The first unknown coefficient for the anomalous dimension now appears at $O(Z^2\alpha^4)$.
Forward citations
Cited by 2 Pith papers
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Taming nuclear size and shape effects in superallowed beta-decay
A combined ab initio and experimental analysis of nuclear form factors reduces uncertainties in superallowed beta-decay rates, enabling a more precise first-row CKM unitarity test.
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Pion β decay and τ→ππν short-distance radiative corrections are matched at NLL accuracy with evanescent-scheme dependence cancelled, giving Δ_RC^{πℓ}=0.03403(11) and a τ-HVP isospin-breaking shift of −0.07(4)×10^-10.
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