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We present a calculation of $1/m_b^2$ corrections to the lifetime differencesof $B_s$ mesons in the heavy-quark expansion. We find that they are small tosignificantly affect $\Delta\Gamma$ $(B_s)$ and present the result for lifetimedifference including non-perturbative $1/m_b$ and $1/m_b^2$ corrections. Wealso analyze the generic $\Delta B$ = 1 New Physics contributions to thelifetime difference of $B_s$ mesons and provide several examples

Lifetime difference in B_s mixing: Standard Model and beyond