The hadronic vacuum polarisa+on contribu+on to ( g–2 ) μ from 2+1 flavours of O ( a ) improved Wilson quarks Hartmut Wi6g PRISMA Cluster of Excellence, Ins6tute for Nuclear Physics and Helmholtz Ins6tute Mainz 36th Interna+onal Symposium on La6ce Field Theory — La6ce 2018 East Lansing, MI — USA 22–28 July 2018
<latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> <latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> <latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> <latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> The muon anomalous magne+c moment E821 @ BNL 116 592 080(54)(33) · 10 − 11 a µ ≡ 1 2 ( g − 2) µ = SM predic6on 116 591 825(34)(26)(1) · 10 − 11 SM es6mate dominated by QED; error dominated by QCD + a strong a µ = a QED + a weak µ µ µ Strong QED+EW HLbL HVP QED 2 Hartmut Wittig
<latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> <latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> <latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> <latexit sha1_base64="hJvTkACZwDFfbYbz9t4YmN752/s=">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</latexit> The muon anomalous magne+c moment E821 @ BNL 116 592 080(54)(33) · 10 − 11 a µ ≡ 1 2 ( g − 2) µ = SM predic6on 116 591 825(34)(26)(1) · 10 − 11 SM es6mate dominated by QED; error dominated by QCD + a strong a µ = a QED + a weak + a NP? µ µ µ µ Strong QED+EW Contribu6on from “New Physics”? γ HLbL HVP ? QED µ µ 2 Hartmut Wittig
The Mainz ( g – 2 ) μ project Collaborators: N. Asmussen, M. Cè, A. Gérardin, O. Gryniuk, G. von Hippel, B. Hörz, H.B. Meyer, A. Nyffeler, K. O]nad, V. Pascalutsa, A. Risch, T. San José Perez, HW J. Green, B. Jäger, G. Herdoíza • Direct determina6ons • Exact QED kernel • Transi6on form factor a hvp of LO • Forward sca]ering for π 0 → γ ∗ γ ∗ µ • Running of α and sin 2 θ W amplitude 3 Hartmut Wittig
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