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We present the results of a quenched lattice calculation of the operator matrix elements relevant for predicting the B-s width difference. Our main result is (Delta Gamma (Bs)/Gamma (Bs)) = (4.7 +/- 1.5 +/- 1.6) x 10(-2), obtained from tho ratio of matrix elements R(m(b)) = ((B) over bar (0)(s)\Qs\B-s(0)]/[(B) over bar (0)(s)\QL\B-s(0)) = -0.93(3)(-0.01)(+0.00) . R(m(b)) was evaluated from the two relevant B parameters B-S((MS) over bar)(m(b)) = 0.86(2)(-0.02)(+0.02) and B-Bs((MS) over bar)(m(b)) = 0.91(3)(-0.06)(+0.00), which we computed in our simulation

A theoretical prediction of the $B_s$ meson lifetime difference