B_s/ B_d and _s confront new physics in b s

Several new physics scenarios that address anomalies in B-physics predict an enhancement of b -> s tau tau with respect to its Standard Model prediction. Such scenarios necessarily imply modifications of the lifetime ratio tau B-s/ tau B-d and the lifetime difference Delta Gamma(s). In this work, we explore indirect bounds provided by these observables over new physics scenarios. We also estimate future projections, showing that future experimental and theoretical improvements on both tau B-s/ tau B-d and Delta Gamma(s) have the potential to provide bounds competitive with those directly extracted from b -> s tau tau transitions. After performing a model-independent analysis, we apply our results to the particular case of leptoquark mediators proposed to address the R-D(& lowast;) anomalies.