Urethane (meth)acrylate and active energy ray-curable resin composition

A urethane (meth)acrylate comprising a cyclic structure in a molecule,

• wherein the urethane (meth)acrylate is obtained by reacting a polyol (X), a polyisocyanate (Y), and a hydroxy-containing (meth)acrylate (Z),
• wherein the polyol (X) comprises an isosorbide,
• the urethane (meth)acrylate is prepared by reacting the polyol (X) and the polyisocyanate (Y) to form an isocyanate-containing urethane isocyanate prepolymer, and reacting the urethane isocyanate prepolymer with the hydroxy-containing (meth)acrylate (Z),
• the urethane (meth)acrylate has a total weight of carbon, oxygen, nitrogen, and sulfur atoms constituting a ring or rings of the cyclic structure of 10 to 27.2 percent by weight based on the total weight (100 percent by weight) of the urethane (meth)acrylate,
• the urethane (meth)acrylate comprises two or more different hydroxy-containing (meth)acrylates,
• the urethane (meth)acrylate has an average number of functional groups of 3.5 to 4.5, and
• the urethane (meth)acrylate comprising at least one feature selected from the group consisting of (A) and (B):
• (A) the cyclic structure includes at least one heterocyclic ring, and
• (B) the hydroxy-containing (meth)acrylate (Z) includes hydroxy-containing (meth)acrylates containing a cyclic structure in the molecule.