  The Bargman-Wigner equations are generalized to include chiral symmetry based
on the irreps of the Poincar\'{e} group, and the chirial Bargmann-Wigner
equations are derived for spin-1 massive fields. By specifying the chiral
basis, the chiral Bargmann-Wigner equations are reduced to the Proca-like
equation, which is coupled by chirality to an auxiliary equation for spin-0
massive field. The coupling is a new phenomenon whose physical implications for
the Higgs field and dark matter are discussed.
