The rare decay B --> X_s l^+ l^- to NNLL precision for arbitrary dilepton invariant mass

Details The rare decay B --> X_s l^+ l^- to NNLL precision for arbitrary dilepton invariant mass The rare decay B --> X_s l^+ l^- to NNLL precision for arbitrary dilepton invariant mass

2003-12-09

arxiv.org/abs/hep-ph/0312128v2

Nucl.Phys. B685 (2004) 351-392

Physics

High Energy Physics

High Energy Physics - Phenomenology

40 pages, 12 figures. v2: extended phenomenological discussion; results unchanged; published version

Scientific paper

10.1016/j.nuclphysb.2004.02.028

We present a new phenomenological analysis of the inclusive rare decay $B \to X_s \ell^+\ell^-$. In particular, we present the first calculation of the NNLL contributions due to the leading two-loop matrix elements, evaluated for arbitrary dilepton invariant mass. This allows to obtain the first NNLL estimates of the dilepton mass spectrum and the lepton forward-backward asymmetry in the high $ M^2_{\ell^+ \ell^-}$ region, and to provide an independent check of previously published results in the low $ M^2_{\ell^+ \ell^-}$ region. The numerical impact of these NNLL corrections in the high-mass region ($ M^2_{\ell^+ \ell^-} > 14.4 GeV^2$) amounts to -13% in the integrated rate, and leads to a reduction of the scale uncertainty to $\pm 3%$. The impact of non-perturbative contributions in this region is also discussed in detail.

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