Chakraborty, B., Davies, C.T.H. , Donald, G.C., Dowdall, R.J., Koponen, J., Lepage, G.P. and Teubner, T. (2014) The strange and charm quark contributions to the anomalous magnetic moment of the muon. Physical Review D, 89(114501), (doi: 10.1103/PhysRevD.89.114501)
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Abstract
We describe a new technique to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarization using lattice QCD. Our method reconstructs the Adler function, using Pad\'{e} approximants, from its derivatives at q2=0 obtained simply and accurately from time-moments of the vector current-current correlator at zero spatial momentum. We test the method using strange quark correlators on large-volume gluon field configurations that include the effect of up and down (at physical masses), strange and charm quarks in the sea at multiple values of the lattice spacing and multiple volumes and show that 1% accuracy is achievable. For the charm quark contributions we use our previously determined moments with up, down and strange quarks in the sea on very fine lattices. We find the (connected) contribution to the anomalous moment from the strange quark vacuum polarization to be asμ=53.41(59)×10−10, and from charm to be acμ=14.42(39)×10−10. These are in good agreement with flavour-separated results from non-lattice methods, given caveats about the comparison. The extension of our method to the light quark contribution and to that from the quark-line disconnected diagram is straightforward.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Koponen, Dr Jonna and Davies, Professor Christine |
| Authors: | Chakraborty, B., Davies, C.T.H., Donald, G.C., Dowdall, R.J., Koponen, J., Lepage, G.P., and Teubner, T. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Physical Review D |
| Publisher: | American Physical Society |
| ISSN: | 1550-7998 |
| ISSN (Online): | 1550-2368 |
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