Probing magnetic moment operators in production and rare decay *

The magnetic moment ($a_\gamma$) and weak ($a_W$) of charged leptons quarks are sensitive to quantum effects new physics heavy resonances. In effective field theory $a_\gamma$ $a_W$ induced by two independent operators, therefore, one has measure both the shed lights on physics. $a_W$'s SM fermions measured at LEP. this work, we analyze contributions from operators in processes $pp\to H \gamma$ $gg\to \to \tau^+ \tau^- High-Luminosity Large Hadron Collider. We demonstrate that could cover most parameter space cannot be probed