A new study explores the implications of scalar leptoquarks, both SU(2)L singlet and triplet, regarding the observed anomalies in lepton anomalous magnetic moments (g-2) and charged lepton flavor-violating decays. The research reveals significant correlations between the values of Δaₑ and Δaᵤ, as well as with decay rates such as e_b → e_aγ and the decays of Higgs and Z bosons into lepton pairs e_b⁺e_a⁻.

The proposed extended Standard Model, which incorporates these leptoquarks, cannot simultaneously accommodate sizable values for both the electron's magnetic anomaly (|Δaₑ| ~ 10⁻¹³) and the muon's (|Δaᵤ| ~ 10⁻¹⁰). If a significant value for the muon anomaly is assumed, for instance |Δaᵤ| ~ 10⁻¹⁰ and a decay rate Br(μ → eγ) > 10⁻¹⁵, the model predicts that the decay rates of tau into an electron and a photon, Br(τ → eγ), would be very small, below 10⁻¹², and Higgs decays into tau and electron, Br(h → τe), would also be suppressed, below 10⁻⁶. However, other decays could be within the reach of future experimental sensitivities.

Conversely, if significant values for the electron anomaly are considered, |Δaₑ| ~ 10⁻¹³, the model predicts a similar suppression for Br(τ → μγ) decays below 10⁻¹¹ and Br(h → τμ) below 10⁻⁷. These results suggest that while leptoquarks could offer an explanation for some observed anomalies, their ability to resolve all of them simultaneously is limited, and future measurements of lepton flavor-violating decay rates will be crucial for validating or ruling out this type of Standard Model extension.