Data-driven results for light-quark connected and strange-plus-disconnected hadronic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> shor

A key issue affecting the attempt to reduce the uncertainty on the Standard Model prediction for the muon anomalous magnetic moment is the current discrepancy between lattice-QCD and data-driven results for the hadronic vacuum polarization. Progress on this issue benefits from precise data-driven determinations of the isospin-limit light-quark-connected (lqc) and strange-plus-light-quark-disconnected (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi mathvariant="normal">s</a:mi><a:mo>+</a:mo><a:mi>lqd</a:mi></a:mrow></a:math>) components of the related RBC/UKQCD windows. In this paper, using a strategy employed previously for the intermediate window, we provide data-driven results for the lqc and <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mrow><d:mi mathvariant="normal">s</d:mi><d:mo>+</d:mo><d:mi>lqd</d:mi></d:mrow></d:math> components of the short- and long-distance RBC/UKQCD windows. Comparing these results with those from the lattice, we find significant discrepancies in the lqc parts but good agreement for the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mrow><g:mi mathvariant="normal">s</g:mi><g:mo>+</g:mo><g:mi>lqd</g:mi></g:mrow></g:math> components. We also explore the impact of recent CMD-<j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mn>3</j:mn><j:mtext> </j:mtext><j:mtext> </j:mtext><j:msup><j:mi>e</j:mi><j:mo>+</j:mo></j:msup><j:msup><j:mi>e</j:mi><j:mo>−</j:mo></j:msup><j:mo stretchy="false">→</j:mo><j:msup><j:mi>π</j:mi><j:mo>+</j:mo></j:msup><j:msup><j:mi>π</j:mi><j:mo>−</j:mo></j:msup></j:math> cross section results, demonstrating that an upward shift in the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>ρ</m:mi></m:math>-peak region of the type seen in the CMD-3 data serves to eliminate the discrepancies for the lqc components without compromising the good agreement between lattice and data-driven <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mrow><o:mi mathvariant="normal">s</o:mi><o:mo>+</o:mo><o:mi>lqd</o:mi></o:mrow></o:math> results.