Towards the NNLL precision in $\bar{B}\to X_s{\hat{I}}^3$

Abstract

The present NLL prediction for the decay rate of the rare inclusive process $\bar{B}\to X_s{\hat{I}}^3$ has a large uncertainty due to the charm mass renormalization scheme ambiguity. We estimate that this uncertainty will be reduced by a factor of 2 at the NNLL level. This is a strong motivation for the on-going NNLL calculation, which will thus significantly increase the sensitivity of the observable $\bar{B}\to X_s{\hat{I}}^3$ to possible new degrees of freedom beyond the SM. We also give a brief status report of the NNLL calculation.

5 pages, 2 figures, contribution to the proceedings of EPS-HEP 2005