A vehicle wheel tire includes a carcass, a tread, a pair of side walls ending with beads for mounting the tire on a rim, a belt structure, and at least one breaker layer. The belt structure includes first, second, and third belts strips. The first and second belt strips each include metal cords parallel with respect to each other. The first metal cords are crossed with respect to the second metal cords. The third belt strip is in a radially external position with respect to the first and second belt strips. The at least one breaker layer includes reinforcing cords that are inclined with respect to the equatorial plane and is in a radially external position with respect to the belt structure. At least one reinforcing cord of the at least one breaker layer includes at least one metal wire deformed by a substantially sinusoidal deformation lying in a plane.