NNLL QCD Corrections to the Decay $B\to X_s{\ell }^{+}{\ell }^{-}$

Abstract

We briefly discuss the status of the NNLL QCD calculations in the inclusive rare B decay $B\to X_s{\ell }^{+}{\ell }^{-}$. Two important ingredients, the two-loop matrix elements of the four quark operator ${\mathcal{O}}_2$ and the bremsstrahlung contributions, were quite recently finalised. The new contributions significantly improve the sensitivity of the inclusive decay $B\to X_s{l}^{+}{l}^{-}$ decay in testing extensions of the standard model in the sector of flavour dynamics; for instance the two-loop calculation cuts the low- scale uncertainty in half and the bremsstrahlung calculation leads to a 10% shift of the position of the zero of the forward- backward asymmetry.

arXiv comment7 pages, latex, 5 figures, references added

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Cited by in corpus (9)

• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• Present Status of Inclusive Rare B Decays
• The Impact of Universal Extra Dimensions on B -> X_s gamma, B -> X_s gluon, B -> X_s mu^+ mu^-, K_L -> pi^0 e^ +e^-, and epsilon'/epsilon
• The rare decay B --> X_s l^+ l^- to NNLL precision for arbitrary dilepton invariant mass
• Virtual- and bremsstrahlung corrections to b -> d l+ l- in the standard model
• Shape-Function Effects and Split Matching in B-> Xs l+ l-
• Effects of the scalar FCNC in $b\to s{l}^{+}{l}^{-}$ transitions and supersymmetry
• The Forward Backward asymmetries of $B\to X_s{\tau }^{+}{\tau }^{-}$ in the MSSM
• CP violation in polarized B-> pi ell+ ell- and B-> rho ell+ ell- decays