QED-Corrections to Weak Decays

Important aspects of QED-corrections to hadronic decays are reviewed with emphasis on conceptual points such as infrared divergences and structure dependence. These matter are illustrated for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline...

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Main Author: Roman Zwicky
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Symmetry
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Online Access:https://www.mdpi.com/2073-8994/13/11/2036
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author Roman Zwicky
author_facet Roman Zwicky
author_sort Roman Zwicky
collection DOAJ
description Important aspects of QED-corrections to hadronic decays are reviewed with emphasis on conceptual points such as infrared divergences and structure dependence. These matter are illustrated for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo>→</mo><mi>h</mi><mi>a</mi><mi>d</mi><mi>r</mi><mi>o</mi><mi>n</mi><mi>s</mi></mrow></semantics></math></inline-formula>, the leptonic decay <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>π</mi><mo>+</mo></msup><mo>→</mo><msup><mo>ℓ</mo><mo>+</mo></msup><mover accent="true"><mi>ν</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> and the semileptonic decay <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo>→</mo><mi>π</mi><msup><mo>ℓ</mo><mo>+</mo></msup><mover accent="true"><mi>ν</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula>. Aspects of structure dependence include the (non)-cancellation of hard-collinear logs (e.g., <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">ln</mo><msub><mi>m</mi><mo>ℓ</mo></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">ln</mo><msub><mi>m</mi><mi>π</mi></msub></mrow></semantics></math></inline-formula>) of charged final states.
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spelling doaj.art-d6f87654c15d40ac8bd7128ac4c6fe932023-11-23T01:43:48ZengMDPI AGSymmetry2073-89942021-10-011311203610.3390/sym13112036QED-Corrections to Weak DecaysRoman Zwicky0Higgs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, UKImportant aspects of QED-corrections to hadronic decays are reviewed with emphasis on conceptual points such as infrared divergences and structure dependence. These matter are illustrated for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo>→</mo><mi>h</mi><mi>a</mi><mi>d</mi><mi>r</mi><mi>o</mi><mi>n</mi><mi>s</mi></mrow></semantics></math></inline-formula>, the leptonic decay <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>π</mi><mo>+</mo></msup><mo>→</mo><msup><mo>ℓ</mo><mo>+</mo></msup><mover accent="true"><mi>ν</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula> and the semileptonic decay <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo>→</mo><mi>π</mi><msup><mo>ℓ</mo><mo>+</mo></msup><mover accent="true"><mi>ν</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula>. Aspects of structure dependence include the (non)-cancellation of hard-collinear logs (e.g., <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">ln</mo><msub><mi>m</mi><mo>ℓ</mo></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">ln</mo><msub><mi>m</mi><mi>π</mi></msub></mrow></semantics></math></inline-formula>) of charged final states.https://www.mdpi.com/2073-8994/13/11/2036QED-correctionsweak decays
spellingShingle Roman Zwicky
QED-Corrections to Weak Decays
Symmetry
QED-corrections
weak decays
title QED-Corrections to Weak Decays
title_full QED-Corrections to Weak Decays
title_fullStr QED-Corrections to Weak Decays
title_full_unstemmed QED-Corrections to Weak Decays
title_short QED-Corrections to Weak Decays
title_sort qed corrections to weak decays
topic QED-corrections
weak decays
url https://www.mdpi.com/2073-8994/13/11/2036
work_keys_str_mv AT romanzwicky qedcorrectionstoweakdecays