Possibility of large lifetime differences in neutral B meson systems

Abstract

We investigate new physics models that can increase the lifetime differences in the $B_q$--${\bar{B}}_q$ systems ($q=d,s$) above their standard model values. If both $B_q$ as well as ${\bar{B}}_q$ can decay to a final state through flavour dependent new physics interactions, the so-called Grossman bound may be evaded. As examples, we consider the scalar leptoquark model and ${\lambda }^{\prime \prime }$-type R-parity violating supersymmetry. We find that models with a scalar leptoquark can enhance $\Delta {\Gamma }_s/{\Gamma }_s$ all the way up to its experimental upper bound and $\Delta {\Gamma }_d/{\Gamma }_d$ to as much as $\sim 2.5$, at the same time allowing the CP violating phase ${\beta }_s$ to vary between $-45^{\circ }$ and $20^{\circ }$. R-parity violating supersymmetry models cannot enhance the lifetime differences significantly, but can enhance the value of ${\beta }_s$ up to $\sim \pm 20^{\circ }$. This may bring the values of $\Delta {\Gamma }_q/{\Gamma }_q$ as well as ${\beta }_s$ within the measurement capabilities of $B$ factories and LHCb. We also obtain bounds on combinations of these new physics couplings, and predict enhanced branching ratios of $B_{s/d}\to {\tau }^{+}{\tau }^{-}$.

20 pages, 9 eps figures, revtex4 format

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