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  5. Short distance analysis of weak interactions

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Article
English
1977

Short distance analysis of weak interactions

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English
1977
Nuclear Physics B
Vol 122 (1)
DOI: 10.1016/0550-3213(77)90428-x

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Edward Witten
Edward Witten

Institute For Advanced Study

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Abstract

We systematically formulate the short distance analysis of weak interactions, and show that in an asymptotically free theory one can calculate the dependence of any weak amplitude on the W boson and heavy quark masses. Our main purpose is to settle some conceptual questions, but we also derive some new quantitative results. For example, we show that in the SU(3) gauge theory with four quark triplets, the two W boson contribution to KL → μμ will differ from the free quark theory estimate by a factor 25(1 − (α(M W /α(m p′) 1 25 )(α(M W )/α(m p′ )) 24 25 . We also show that the amplitudes for K+ → π +e+e− will differ from the free quark theory estimate by a factor of 1.66(α(M W )/α(m p′)) 2 9 − 1.88(α(M W )/α(m p′) −4 9 .

How to cite this publication

Edward Witten (1977). Short distance analysis of weak interactions. Nuclear Physics B, 122(1), pp. 109-143, DOI: 10.1016/0550-3213(77)90428-x.

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Publication Details

Type

Article

Year

1977

Authors

1

Datasets

0

Total Files

0

Language

English

Journal

Nuclear Physics B

DOI

10.1016/0550-3213(77)90428-x

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