  Although the $(g-2)_\mu$ anomaly can be explained by New Physics (NP)
involving only muons, a more general flavor structure is usually expected for
NP operators in the Standard Model (SM) Effective Field Theory (SMEFT). In
particular, if one wants to provide a combined explanation of several beyond
the SM effects, like Lepton Flavor Universality (LFU) Violation, as indicated
by the B anomalies, then a strong alignment of the NP operators in flavor space
is required to satisfy the bounds from observables featuring Lepton Flavor
Violation (LFV), like $\mu \to e \gamma$. We derived the tight bound of
$10^{-5}$ on the flavor angle in the dipole operator in the charged-lepton mass
basis in the SMEFT. We found that misalignment in several operators at
high-scale could spoil the alignment at low-scale, through the Renormalization
Group Evolution (RGE) of the SMEFT. In particular, it imposes constraints on
some 4-fermions operators. We explored dynamical mechanisms as well as flavor
symmetries to explain this flavor alignment, and illustrated the difficulty to
reach it in an explicit NP model. If the $(g-2)_\mu$ anomaly is confirmed, the
only natural explanation seems to lie in the individual lepton number
conservation. If this accidental symmetry of the SM is also present in
higher-order terms in the SMEFT, we are led to conclude that quark and lepton
sectors behave quite differently beyond the SM. This proceeding is based on
arXiv:2111.13724.
