Journal Article

FZJ-2022-06020

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Electron mass singularities in semileptonic kaon decays

Seng, C.-Y.Extern* ; Marciano, W. J.Extern* ; Meißner, U.-G.FZJ*

2022
Inst. Melville, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/33274  doi:10.1103/PhysRevD.106.013006

Abstract: We 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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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Theorie der starken Wechselwirkung (IKP-3)

Research Program(s):

1. 5111 - Domain-Specific Simulation Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)

Appears in the scientific report 2022

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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