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We investigate the multicritical behavior of the three-dimensional Z_2 gaugeHiggs model, at the multicritical point (MCP) of its phase diagram, where onefirst-order transition line and two continuous Ising-like transition linesmeet. The duality properties of the model determine some features of themulticritical behavior at the MCP located along the self-dual line. Moreover,we argue that the system develops a multicritical XY behavior at the MCP, whichis controlled by the stable XY fixed point of the three-dimensionalmulticritical Landau-Ginzburg-Wilson field theory with two competing scalarfields associated with the continuous Z_2 transition lines meeting at the MCP.This implies an effective enlargement of the symmetry of the multicriticalmodes at the MCP, to the continuous group O(2). We also provide some numericalresults to support the multicritical XY scenario.

Multicritical point of the three-dimensional Z_2 gauge Higgs model