Probing the Higgs sector in the nonrelativistic domain

As a process that contains direct information from the Higgs self-coupling, we investigate the muon-induced Higgs pair production $\mu^-\mu^+\rightarrow HH$. We calculate the one-loop corrections to the cross section, and in the threshold region we take into account the nonperturbative contribution from the Higgs self-interactions in the final state. We point out that the Higgs pair production in the nonrelativistic domain might be a useful process for probing the Higgs sector.

NONPERTURBATIVE STOCHASTIC DEFINITIONS OF 2-D QUANTUM GRAVITY

I construct the ground state, up to first nonperturbative order, of the stochastic stabilization of the zero-dimensional matrix model which defines 2-D quantum gravity. It is given by the linear combination of a perturbative wave function and a nonperturbative one. The nonperturbative behavior which arise from the stabilized model and from the string equation are similar. I show the modification of the loop equation by nonperturbative contribution.