$W$ -Boson Contribution to the Anomalous Magnetic Moment of the Muon

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25 April 1967

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 156 (5) , 1644-1647
https://doi.org/10.1103/physrev.156.1644

Abstract

The contribution of the intermediate vector boson to the muon anomalous moment is calculated in the

ξ

-limiting formalism. We find

Δ κ_{μ} = Δ [\frac{(g_{μ} - 2)}{2}] = (\frac{{g_{W}}^{2}}{8 π^{2}}) {(\frac{M_{μ}}{M_{W}})}^{2} [2 (1 - κ_{W}) \ln ξ + \frac{10}{3}],

where

\sqrt{2} {(\frac{g_{W}}{M_{W}})}^{2} = G_{F}

is the Fermi weak coupling constant and

κ_{W}

is the

W

anomalous moment. For

κ_{W} = 0

, and

ξ

chosen according to the prescription of Lee, this contribution is numerically

Δ κ_{μ} ≅ - 1.0 \times 10^{- 8} ≅ - 0.8 {(\frac{α}{π})}^{3} .

Keywords

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