  We show that an angular analysis of B -> V1 V2 decays yields numerous tests
for new physics in the decay amplitudes. Many of these new-physics observables
are nonzero even if the strong phase differences vanish. For certain
observables, neither time-dependent measurements nor tagging is necessary.
Should a signal for new physics be found, one can place a lower limit on the
size of the new-physics parameters, as well as bound its effect on the
measurement of the B^0--Bbar^0 mixing phase.
