Probing Magnetic Moment Operators in $H{\hat{I}}^3$ Production and $H\to \ddot{I}{„}^{+}\ddot{I}{„}^{-}{\hat{I}}^3$ Rare Decay

Abstract

The magnetic moment ($a_{\hat{I}}^3$) and weak magnetic moment ($a_W$) of charged leptons and quarks are sensitive to quantum effects of new physics heavy resonances. In effective field theory $a_{\hat{I}}^3$ and $a_W$ are induced by two independent operators, therefore, one has to measure both the $a_{\hat{I}}^3$ and $a_W$ to shed lights on new physics. The $a_W$'s of the SM fermions are measured at the LEP. In this work, we analyze the contributions from magnetic and weak magnetic moment operators in the processes of $pp\to H{\hat{I}}^3$ and $gg\to H\to \ddot{I}{„}^{+}\ddot{I}{„}^{-}{\hat{I}}^3$ at the High-Luminosity Large Hadron Collider. We demonstrate that the two processes could cover most of the parameter space that cannot be probed at the LEP.