Indirect new physics effects on Chad confront the (g-2) window discrepancies and the CMD-3 result

Recent lattice determinations of the hadronic-vacuum polarization contribution to the muon anomalous magnetic moment aHVP mu have confirmed the discrepancy with the data-driven dispersive method. In the meanwhile the CMD-3 Collaboration has reported a result for the e+e- -> pi+pi- cross section considerably larger than previous experimental results (and close to the lattice determinations) exacerbating the discordance between different e+e- datasets. We explore to what extent these disagreements can be accounted for by some new physics effect altering selectively the individual experimental determinations of sigma(e+e- -> hadrons). We find that specific effects of GeV-scale new particles are able to shift upwards the KLOE and BABAR results in the low and intermediate energy windows, while leaving the CMD-3 energy scan unaffected. Although these new physics effects cannot fully explain all the discrepancies among the different sigma(e+e- -> hadrons) datasets, they succeed in mitigating the overall tension between data-driven and lattice estimates of aHVP mu . Remarkably, the additional loop corrections involving the new particles concur to solve the residual discrepancy with the experimental value of (g - 2)mu.