The two-loop ?4 kink mass

At one loop, quantum kinks are described by a free theory. The nonlinearity and so the interesting phenomenology arrives at two loops, where, for example, internal excitations couple to continuum excitations. We calculate two-loop mass of scalar kink. Unlike previous calculations, we include counterterm which cancels vacuum energy density this order, that our result kink is finite even when nonzero. This allows us apply $\phi^4$ kink, obtain contribution $0.0126\lambda/m$ in terms coupling $\lambda$ meson $m$ evaluated minimum potential.