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

Abstract

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 $M_{{\ell }^{+}{\ell }^{-}}^2$ region, and to provide an independent check of previously published results in the low $M_{{\ell }^{+}{\ell }^{-}}^2$ region. The numerical impact of these NNLL corrections in the high-mass region ($M_{{\ell }^{+}{\ell }^{-}}^2>14.4Ge{V}^2$) 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.

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

References in corpus (40)

• Heavy Quark Symmetry
• Minimal Flavour Violation: an effective field theory approach
• Weak Radiative B-Meson Decay Beyond Leading Logarithms
• Effective Hamiltonian for $B \ra X_s e^+ e^-$ Beyond Leading Logarithms in the NDR and HV Schemes
• Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]
• Quark mass effects in B -> Xs gamma
• B -> X_s gamma in supersymmetry: large contributions beyond the leading order
• b -> s γand supersymmetry with large tanβ
• Lepton Polarization in the Decays $B\to X_s{\mu }^{+}{\mu }^{-}$ and $B\to X_s{\tau }^{+}{\tau }^{-}$
• Improved Model-Independent Analysis of Semileptonic and Radiative Rare B Decays
• Virtual $O(\a_s)$ corrections to the inclusive decay $b\to s\gamma$
• Gluino Contribution to Radiative B Decays: Organization of QCD Corrections and Leading Order Results
• Present Status of Inclusive Rare B Decays
• Calculation of two-loop virtual corrections to b --> s l+ l- in the standard model
• Virtual corrections to the decay $b\to s\gamma$
• $K_L\to {\pi }^0{e}^{+}{e}^{-}$ and $B\to X_s{\ell }^{+}{\ell }^{-}$ Decay in the MSSM
• Exact ${\alpha }_s$ Calculation of $b\to s+\gamma$, \ $b\to s+g$
• Corrections of Order ${\Lambda }_{QCD}^2/m_c^2$ to Inclusive Rare B Decays
• Completing the NLO QCD calculation of B -> Xs gamma
• Two-loop virtual corrections to B --> X_s l^+ l^- in the standard model
• Order 1/m_b^3 corrections to B\to X_c\ell\barνdecay and their implication for the measurement of \barΛand λ_1
• The CKM Matrix and the Unitarity Triangle
• Bounds on flavour violating parameters in supersymmetry
• $O(m_c^{-2})$ nonperturbative corrections to the inclusive rate of the decay $B\to X_s\gamma$
• Power Corrections in the Decay Rate and Distributions in $B\to X_s{\ell }^{+}{\ell }^{-}$ in the Standard Model
• Elementary derivation of a recently proposed integral representation for permanents
• Two-loop matching of the dipole operators for $b\to s\gamma$ and $b\to sgluon$
• QCD estimate of the long-distance effect in $B\to K^{\ast }\gamma$
• Nonperturbative Effects in $\bar{B}\to X_s{l}^{+}{l}^{-}$ for Large Dilepton Invariant Mass
• Forward--Backward Asymmetry in B -> X_s l^+ l^- at the NNLL Level
• NNLL corrections to the angular distribution and to the forward-backward asymmetries in b -> X_s l+ l-
• Measurement of the Electroweak Penguin Process B --> X(s) l+ l-
• Complete gluon bremsstrahlung corrections to the process b -> s l+ l-
• Two-Loop Matrix Element of the Current-Current Operator in the Decay B -> X_s gamma
• Non-1/m_b^n Power Suppressed Contributions to Inclusive b->s l+ l- Decays
• Nonperturbative corrections to moments of the decay B -> X_s l^+ l^-
• On the Inclusive Determination of V_{ub} from the Lepton Invariant Mass Spectrum
• Nonperturbative corrections to B -> X_s l^+ l^- with phase space restrictions
• Reduction and evaluation of two-loop graphs with arbitrary masses
• NNLL QCD Corrections to the Decay $B\to X_s{\ell }^{+}{\ell }^{-}$

Cited by in corpus (90)

• Flavor Structure of Warped Extra Dimension Models
• Angular Distributions of B -> K ll Decays
• Flavor Physics in the Quark Sector
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• Electromagnetic Logarithms in B -> X_s l+ l-
• Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T-Parity
• B-factory Signals for a Warped Extra Dimension
• Exclusive rare B -> K*e+e- decays at low recoil: controlling the long-distance effects
• Theory of B -> K(*)l+l- decays at high q^2: OPE and quark-hadron duality
• Measurement of the B -> Xs l+ l- branching fraction with a sum over exclusive modes
• Improved Measurement of the Electroweak Penguin Process B->Xsll
• Complete NNLO QCD Analysis of B -> X_s l^+ l^- and Higher Order Electroweak Effects
• Rare $B$ Decays as Tests of the Standard Model
• SUSY-induced FCNC top-quark processes at the Large Hadron Collider
• Towards the Identification of New Physics through Quark Flavour Violating Processes
• Constraints on New Physics in MFV models: a model-independent analysis of Delta F=1 processes
• Improved Theory Predictions and Global Analysis of Exclusive $\mathbf{b}\to \mathbf{s}{\mathbf{\mu }}^{+}{\mathbf{\mu }}^{-}$ Processes
• Precise Calculation of the Dilepton Invariant-Mass Spectrum and the Decay Rate in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ in the SM
• Model-independent constraints on new physics in b --> s transitions
• B, D and K decays
• Non-local matrix elements in $B_{(s)}\to \{K^{(\ast )},\varphi \}{\ell }^{+}{\ell }^{-}$
• Logarithmically Enhanced Corrections to the Decay Rate and Forward Backward Asymmetry in anti-B --> X(s) l+ l-
• On the LHCb anomaly in B -> K* l+ l-
• Flavor & new physics opportunities with rare charm decays into leptons
• Measurement of the B->Xsl+l- branching fraction and search for direct CP violation from a sum of exclusive final states
• Determining the sign of the b -> s gamma amplitude
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Patterns of Flavour Violation in the Presence of a Fourth Generation of Quarks and Leptons
• Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
• Exclusive $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to K^{\ast }\gamma$ transitions in a scenario with a single Universal Extra Dimension
• Radiative and Electroweak Penguin Decays of B Mesons
• Upper Bounds on Rare K and B Decays from Minimal Flavour Violation
• New Physics at a Super Flavor Factory
• New Physics in $b\to s{\mu }^{+}{\mu }^{-}$: Distinguishing Models through CP-Violating Effects
• Are the CKM anomalies induced by vector-like quarks? Limits from flavor changing and Standard Model precision tests
• Rare dileptonic decays of Λ_b in a quark model
• Family Non-universal Z^\prime effects on \bar{B}_q-B_q$ mixing, B\to X_s μ^+μ^- and B_s\to μ^+μ^- Decays
• New-physics signals of a model with a vector-singlet up-type quark
• Analytic two-loop virtual corrections to $b-->d{l}^{+}{l}^{-}$
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Exclusive B-> K_{1}l ^{+}l ^{-} decay in model with single universal extra dimension
• Precise predictions for B -> Xs l+ l- in the large q^2 region
• Extracting short distance information from b -> s l+ l- effectively
• B meson Dileptonic Decays in NMSSM with a Light CP-odd Higgs Boson
• Flavor Changing Neutral Coupling Mediated Radiative Top Quark Decays at Next-to-Leading Order in QCD
• (Lambda_b -> Lambda l^+ l^-) decay in universal extra dimensions
• The Minimal Flavour Violation benchmark in view of the latest LHCb data
• B->X_s l^+l^- in the MSSM at NNLO
• Challenging SO(10) SUSY GUTs with family symmetries through FCNC processes
• Lepton polarization asymmetry and forward backward asymmetry in exclusive B->K_1 tau^(+)tau^(-) decay in universal extra dimension scenario
• Double-lepton polarization asymmetries in (Lambda_b -> Lambda l^+ l^-) decay in universal extra dimension model
• Phenomenology of inclusive $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ for the Belle II era
• Numerical multi-loop integrals and applications
• Higher order QCD corrections in exclusive charmless B decays
• Flavour Theory: 2009
• Rare $B_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states
• Flavor signatures of isosinglet vector-like down quark model
• Shape-Function Effects and Split Matching in B-> Xs l+ l-
• QCD Corrections to Flavor Changing Neutral Coupling Mediated Rare Top Quark Decays
• On the Physics Case of a Super Flavour Factory
• Two loop virtual corrections to $b\to (d,s){\ell }^{+}{\ell }^{-}$ and $c\to u{\ell }^{+}{\ell }^{-}$ for arbitrary momentum transfer
• Exact NLO Matching and Analyticity in $b\to s\ell \ell$
• Constraining new physics with B to K* mu+ mu- in the early LHC era
• Lepton polarization effects in "Lambda_b -> Lambda l+l-" decay in family non-universal Z' model
• General squark flavour mixing: constraints, phenomenology and benchmarks
• Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d{\ell }^{+}{\ell }^{-}$
• Universality and m_X cut effects in B -> Xs l+ l-
• Review of Heavy Quark Physics - theory
• Semileptonic Transition of $Σ_b \rar Σμ^+ μ^-$ in Family Non-universal $Z^{\prime }$ Model
• Nonperturbative m_X cut effects in B -> Xs l+ l- observables
• Status of SM calculations of b > s transitions
• Lambda_b -> Lambda l+ l- decay within family non-universal Z' model
• Model Independent Analysis of the Forward-Backward Asymmetry for the $B\to K_1{\mu }^{+}{\mu }^{-}$ Decay
• Lepton polarization asymmetries for FCNC decays of the ${\Lambda }_b$ baryon
• (B -> K_2 l^+ l^-) decay beyond the Standard Model
• Analysis of the semileptonic ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ transition in topcolor-assisted technicolor (TC2) model
• Rare B decays in the flip SU(5) Model
• Renormalization of heavy-light currents in moving NRQCD
• Isospin of new physics in $|\Delta S|=1$ charmless B decays
• Rare B decays in a single Universal Extra Dimension scenario
• Rare B-Meson Decays at the Crossroads
• $B\to X_{{}_S}{l}^{+}{l}^{-}$ in the minimal gauged $(B-L)$ supersymmetry
• B\to X_sγ, X_s l^+ l^- decays and constraints on the mass insertion parameters in the MSSM
• Rare Decays as a Probe for New Physics
• New Physics Search in Flavour Physics
• Analysis of Various Polarization Asymmetries In The Inclusive $b\to s{\ell }^{+}{\ell }^{-}$ Decay In The Fourth-Generation Standard Model
• Recent developments in radiative B decays
• Recent BABAR Results
• $B_s\to f_0(980)$ decays: Results from light-cone QCD Sum Rules
• Can contribution from magnetic-penguin operator with real photon to $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ in the standard model be neglected?