Hadronic vacuum polarization contribution to muon g-2 from four - PowerPoint PPT Presentation


 
 Hadronic vacuum polarization contribution to muon g-2 from four flavors of HISQ quarks 
 Ruth Van de Water (for the Fermilab Lattice, HPQCD, 
 & MILC Collaborations) Second plenary workshop of Muon g-2 Theory Initiative Johannes Gutenberg Universit ä t Mainz 
 20 June, 2018

Participants Fermilab Lattice Collaboration Aida El Khadra (Illinois) Daniel Hatton (Glasgow) Andreas Kronfeld (Fermilab) Christine Davies (Glasgow) Ethan Neil (Colorado) Peter Lepage (Cornell) Ruth Van de Water (Fermilab) Craig McNeile (Plymouth) MILC Collaboration Yuzhi Liu (Indiana) Carleton DeTar (Utah) Doug Toussaint (Arizona) Steve Gottlieb (Indiana) Alejandro Vaquero (Utah) Jack Laiho (Syracuse) Shuhei Yamamoto (Utah) R. Van de Water HVP contribution to muon g-2 with (2+1+1) HISQ quarks 2

Motivation Muon anomalous magnetic moment (g-2) provides sensitive probe of physics beyond the Standard Model : Mediated by quantum-mechanical loops Known to very high precision of 0.54ppm Measurement from BNL E821 disagrees with Standard-Model theory expectations by more than 3 σ Muon g-2 Experiment at Fermilab aims to reduce the experimental error by a factor of four, and expect first results in 2019! Theory error must be reduced to a commensurate level to identify definitively whether any deviation observed between theory and experiment is due to new particles or forces We are using ab-initio lattice-QCD to target the hadronic vacuum-polarization (HVP) contribution, which is the largest source of theory error R. Van de Water HVP contribution to muon g-2 with (2+1+1) HISQ quarks 3

Background Build upon HPQCD’s published work Introduced “time-moments” no new physics method obtain a μ HVP from zero- HPQCD momentum vector-current this paper ETMC correlation functions [PRD89, 1308.4327 no. 11, 114501 (2014)] Jegerlehner Obtained precise s, c-, and b- 1511.04473 Benayoun et al quark connected contributions 1507.02943 [PRD 91, no. 7, 074514 (2015)] Hagiwara et al 1105.3149 and bound on quark- Jegerlehner et al disconnected contribution 1101.2872 [HPQCD+HadSpec, PRD 93, no. 640 650 660 670 680 690 700 710 720 730 7, 074509 (2016)] a HVP , LO × 10 10 µ Calculated light-quark connected contribution & total Dominant�errors�from�omission�of�EM� a µHVP ,LO with ~2% uncertainty &�isospin�breaking,�and�from�quark- [HPQCD+RV, PRD96 (2017) no. disconnected�contributions 3, 034516] R. Van de Water HVP contribution to muon g-2 with (2+1+1) HISQ quarks 4

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1.13215(35) 0.9881(10) 0.13473(71) 7746 24 3 × 64 0.12 0.01020/0.0509/0.635 1.3826(11) 0.99220(40) 0.3012(16) 1053 24 3 × 64 0.12 0.0050724c/0.0507/0.628 1.40290(90) 0.99220(40) 0.2178(12) 1020 32 3 × 64 0.12 0.0050732c/0.0507/0.628 1.40290(90) 0.99220(40) 0.2165(11) 1000 40 3 × 64 0.12 0.0050740c/0.0507/0.628 1.40290(90) 0.99220(40) 0.2163(11) 331 48 3 × 64 0.12 0.00184/0.0507/0.628 1.41490(60) 0.99220(40) 0.13273(70) 998 32 3 × 96 0.09 0.00740/0.037/0.440 1.9006(20) 0.99400(50) 0.3076(17) 1000 48 3 × 96 0.09 0.00363/0.0363/0.430 1.9330(20) 0.99400(50) 0.2191(12) 298 64 3 × 96 0.09 0.00120/0.0363/0.432 1.95180(70) 0.99400(50) 0.12834(68) 1557 96 3 × 192 0.06 0.0008/0.022/0.260 3.0170(23) 0.9941(11) 0.13495(72) 945 R. Van de Water HVP contribution to muon g-2 with (2+1+1) HISQ quarks 5