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000916219 0247_ $$2doi$$a10.1103/PhysRevD.106.013006
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000916219 1001_ $$00000-0002-3062-0118$$aSeng, Chien-Yeah$$b0
000916219 245__ $$aElectron mass singularities in semileptonic kaon decays
000916219 260__ $$aMelville, NY$$bInst.$$c2022
000916219 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2022-07-19
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000916219 520__ $$aWe show that recent improvements in the O(α) long-distance quantum electrodynamics (QED) corrections to the radiative inclusive Ke3 decay rate using the Sirlin representation are free from infrared divergences and collinear electron mass singularities in the limit me→0, as predicted by the Kinoshita-Lee-Nauenberg theorem. We also verify that in massless QED with the simultaneous dimensional regularization of QED photon infrared divergences and electron mass singularities leads to the same result for the inclusive rate in the limit of four space-time dimensions. The equivalence of the two approaches results in part from an interesting interplay between a small chirality-breaking effect in the massless electron limit and the generalization of space-time algebra and phase space integrals to d>4 dimensions. Our finding supports the small theoretical uncertainty claimed for Ke3 radiative inclusive rates and reaffirms its utility in precision unitarity tests of the quark mixing matrix.
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000916219 536__ $$0G:(GEPRIS)196253076$$aDFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076)$$c196253076$$x1
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000916219 7001_ $$00000-0001-6943-1296$$aMarciano, William J.$$b1
000916219 7001_ $$0P:(DE-Juel1)131252$$aMeißner, Ulf-G.$$b2
000916219 77318 $$2Crossref$$3journal-article$$a10.1103/physrevd.106.013006$$bAmerican Physical Society (APS)$$d2022-07-19$$n1$$p013006$$tPhysical Review D$$v106$$x2470-0010$$y2022
000916219 773__ $$0PERI:(DE-600)2844732-3$$a10.1103/PhysRevD.106.013006$$gVol. 106, no. 1, p. 013006$$n1$$p013006$$tPhysical review / D$$v106$$x2470-0010$$y2022
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000916219 9201_ $$0I:(DE-Juel1)IAS-4-20090406$$kIAS-4$$lTheorie der Starken Wechselwirkung$$x0
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