Hadronic light-by-light contribution to the muon anomaly from lattice QCD with infinite volume QED at physical pion mass

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mo stretchy="false">(</a:mo><a:mi>g</a:mi><a:mo>−</a:mo><a:mn>2</a:mn><a:mo stretchy="false">)</a:mo><a:mrow><a:mo>/</a:mo><a:mn>2</a:mn></a:mrow></a:mrow></a:math>, is computed in the infinite volume QED framework with lattice QCD. We report <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msubsup><e:mi>a</e:mi><e:mi>μ</e:mi><e:mtext>HLbL</e:mtext></e:msubsup><e:mo>=</e:mo><e:mn>12.47</e:mn><e:mo stretchy="false">(</e:mo><e:mn>1.15</e:mn><e:mo stretchy="false">)</e:mo><e:mo stretchy="false">(</e:mo><e:mn>0.95</e:mn><e:mo stretchy="false">)</e:mo><e:mo>×</e:mo><e:msup><e:mn>10</e:mn><e:mrow><e:mo>−</e:mo><e:mn>10</e:mn></e:mrow></e:msup></e:math> where the first error is statistical and the second systematic. The result is mainly based on the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mrow><k:mn>2</k:mn><k:mo>+</k:mo><k:mn>1</k:mn></k:mrow></k:math> flavor Möbius domain wall fermion ensemble with inverse lattice spacing <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msup><m:mi>a</m:mi><m:mrow><m:mo>−</m:mo><m:mn>1</m:mn></m:mrow></m:msup><m:mo>=</m:mo><m:mn>1.73</m:mn><m:mtext> </m:mtext><m:mtext> </m:mtext><m:mi>GeV</m:mi></m:math>, lattice size <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>L</o:mi><o:mo>=</o:mo><o:mn>5.5</o:mn><o:mtext> </o:mtext><o:mtext> </o:mtext><o:mi>fm</o:mi></o:math>, and <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msub><q:mi>m</q:mi><q:mi>π</q:mi></q:msub><q:mo>=</q:mo><q:mn>139</q:mn><q:mtext> </q:mtext><q:mtext> </q:mtext><q:mi>MeV</q:mi></q:math>, generated by the RBC-UKQCD collaborations. The leading systematic error of this result comes from the lattice discretization. This result is consistent with previous determinations.