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Perturbative heavy quark contributions to the anomalous magnetic moment of the muon
by P. D. Kennedy, J. Erler and H. Spiesberger
Submission summary
| Authors (as registered SciPost users): | Philip David Kennedy |
| Submission information | |
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| Preprint Link: | scipost_202111_00050v1 (pdf) |
| Date submitted: | 2021-11-23 20:03 |
| Submitted by: | Kennedy, Philip David |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 16th International Workshop on Tau Lepton Physics (TAU2021) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Phenomenological |
Abstract
We discuss a method for calculating the heavy quark vacuum polarisation contribution to the muon anomalous magnetic moment, $a_\mu$, using perturbative QCD. This approach is independent of $e^+e^-$ cross-section data allowing a fully theoretical evaluation of these contributions. We confirm an existing result at lower orders in $\alpha_s$ and state a new explicit analytic formula which includes terms up to $\order{\alpha_s^3}$. Numerically the charm quark contribution to $a_\mu$ is found to be $a_\mu^c = (14.5 \pm 0.2)\times 10^{-10}$ and the bottom contributes $a_\mu^b = (0.302 \pm 0.002) \times 10^{-10} $. Our uncertainty estimates include both parametric uncertainties from $\hat{m}_q(\hat{m}_q)$ and $\alpha_s(\hat{m}_q)$, and theoretical uncertainties in the perturbative expansion. Comparison is made between these results and alternative approaches such as lattice QCD or those based on a dispersion relation and cross-section data.