Hadronic light-by-light contribution to (g-2)μ from lattice QCD with SU(3) flavor symmetry
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- En-Hung Chao
- Antoine Gerardin
- Jeremy R Green
- Renwick J Hudspith
- Harvey B Meyer
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000574627000004&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1140/epjc/s10052-020-08444-3
- eISSN
- 1434-6052
- Externe Identifier
- Clarivate Analytics Document Solution ID: NV9JA
- ISSN
- 1434-6044
- Ausgabe der Veröffentlichung
- 9
- Zeitschrift
- EUROPEAN PHYSICAL JOURNAL C
- Artikelnummer
- ARTN 869
- Datum der Veröffentlichung
- 2020
- Status
- Published
- Titel
- Hadronic light-by-light contribution to (g-2)μ from lattice QCD with SU(3) flavor symmetry
- Sub types
- Article
- Ausgabe der Zeitschrift
- 80
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Abstract
- <jats:title>Abstract</jats:title><jats:p>We perform a lattice QCD calculation of the hadronic light-by-light contribution to <jats:inline-formula><jats:alternatives><jats:tex-math>$$(g-2)_\mu $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>μ</mml:mi> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> at the SU(3) flavor-symmetric point <jats:inline-formula><jats:alternatives><jats:tex-math>$$m_\pi =m_K\simeq 420\,$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>π</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>K</mml:mi> </mml:msub> <mml:mo>≃</mml:mo> <mml:mn>420</mml:mn> <mml:mspace /> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>MeV. The representation used is based on coordinate-space perturbation theory, with all QED elements of the relevant Feynman diagrams implemented in continuum, infinite Euclidean space. As a consequence, the effect of using finite lattices to evaluate the QCD four-point function of the electromagnetic current is exponentially suppressed. Thanks to the SU(3)-flavor symmetry, only two topologies of diagrams contribute, the fully connected and the leading disconnected. We show the equivalence in the continuum limit of two methods of computing the connected contribution, and introduce a sparse-grid technique for computing the disconnected contribution. Thanks to our previous calculation of the pion transition form factor, we are able to correct for the residual finite-size effects and extend the tail of the integrand. We test our understanding of finite-size effects by using gauge ensembles differing only by their volume. After a continuum extrapolation based on four lattice spacings, we obtain <jats:inline-formula><jats:alternatives><jats:tex-math>$$a_\mu ^{\mathrm{hlbl}}= (65.4\pm 4.9 \pm 6.6)\times 10^{-11}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>a</mml:mi> <mml:mi>μ</mml:mi> <mml:mi>hlbl</mml:mi> </mml:msubsup> <mml:mo>=</mml:mo> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>65.4</mml:mn> <mml:mo>±</mml:mo> <mml:mn>4.9</mml:mn> <mml:mo>±</mml:mo> <mml:mn>6.6</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>×</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>11</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, where the first error results from the uncertainties on the individual gauge ensembles and the second is the systematic error of the continuum extrapolation. Finally, we estimate how this value will change as the light-quark masses are lowered to their physical values.</jats:p>
- Autoren
- En-Hung Chao
- Antoine Gérardin
- Jeremy R Green
- Renwick J Hudspith
- Harvey B Meyer
- DOI
- 10.1140/epjc/s10052-020-08444-3
- eISSN
- 1434-6052
- ISSN
- 1434-6044
- Ausgabe der Veröffentlichung
- 9
- Zeitschrift
- The European Physical Journal C
- Sprache
- en
- Artikelnummer
- 869
- Online publication date
- 2020
- Datum der Veröffentlichung
- 2020
- Status
- Published
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1140/epjc/s10052-020-08444-3
- Datum der Datenerfassung
- 2021
- Titel
- Hadronic light-by-light contribution to $$(g-2)_\mu $$ from lattice QCD with SU(3) flavor symmetry
- Ausgabe der Zeitschrift
- 80
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