Corrections of Order ${\Lambda }_{QCD}^2/m_c^2$ to Inclusive Rare B Decays

Abstract

We calculate nonperturbative $\mathcal{O}({\Lambda }_{QCD}^2/m_c^2)$ corrections to the dilepton invariant mass spectrum and the forward-backward charge asymmetry in $B\to X_s{e}^{+}{e}^{-}$ decay using a heavy quark expansion approach. The method has recently been used to estimate long-distance effects in $B\to X_s\gamma$. We generalize this analysis to the case of nonvanishing photon invariant mass, $q^2\ne 0$, relevant for the rare decay mode $B\to X_s{e}^{+}{e}^{-}$. In the phenomenologically interesting $q^2$ region away from the $c\bar{c}$ resonances, the heavy quark expansion approach should provide a reasonable description of possible nonperturbative corrections. In particular this picture is preferable to the model-dependent approach relying on the tails of Breit-Wigner resonances, which has been employed so far in the literature to account for these effects. We find that the $\mathcal{O}({\Lambda }_{QCD}^2/m_c^2)$ corrections to the dilepton invariant mass spectrum and to the forward-backward asymmetry in $B\to X_s{e}^{+}{e}^{-}$ amount to several percent at most for $q^2/m_b^2<0.3$ and $q^2/m_b^2>0.6$. The $\mathcal{O}({\Lambda }_{QCD}^2/m_c^2)$ correction to the $B\to X_s\gamma$ decay rate is also computed and found to be +3%, which agrees in magnitude with previous calculations. Finally, we comment on long-distance effects in $B\to X_s\nu \bar{\nu }$, which in this case are extremely suppressed due to the absence of virtual photon contributions.

Latex, 15 pages, 3 figures (included)

References in corpus (5)

• QCD estimate of the long-distance effect in $B\to K^{\ast }\gamma$
• Comment on nonperturbative effects in $B\to X_s\gamma$
• Comment On Nonperturbative O(1/m_c^2) Corrections to B -> X_s gamma
• Non-1/m_b^n Power Suppressed Contributions to Inclusive b->s l+ l- Decays
• Re-examination of long distance effects in $b\to s{l}^{+}{l}^{-}$

Cited by in corpus (116)

• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• More Model-Independent Analysis of b->s Processes
• A Comparative Study of the Decays $B\to (K,K^{\ast }){\ell }^{+}{\ell }^{-}$ in Standard Model and Supersymmetric Theories
• Charm-loop effect in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }\gamma$
• Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]
• Quark mass effects in B -> Xs gamma
• Weak Radiative Decays of the B Meson and Bounds on $M_{H^{\pm }}$ in the Two-Higgs-Doublet Model
• 2HDMs predictions for $B\to X_s\gamma$ in NLO QCD
• Flavor Physics in the Quark Sector
• Next-to-Leading QCD Corrections to B\to X_s γin Supersymmetry
• Improved Model-Independent Analysis of Semileptonic and Radiative Rare B Decays
• Electromagnetic Logarithms in B -> X_s l+ l-
• Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops
• B->V gamma Beyond QCD Factorisation
• The Radiative Decays B -> V gamma at Next-to-Leading Order in QCD
• Direct CP Violation in B -> X_s gamma Decays as a Signature of New Physics
• Phenomenology of non-standard Z couplings in exclusive semileptonic b -> s transitions
• Theory of B -> K(*)l+l- decays at high q^2: OPE and quark-hadron duality
• On the anomalies in the latest LHCb data
• Gluino Contribution to Radiative B Decays: Organization of QCD Corrections and Leading Order Results
• Present Status of Inclusive Rare B Decays
• Complete NNLO QCD Analysis of B -> X_s l^+ l^- and Higher Order Electroweak Effects
• Calculation of two-loop virtual corrections to b --> s l+ l- in the standard model
• Rare $B$ Decays as Tests of the Standard Model
• Constraints on New Physics in MFV models: a model-independent analysis of Delta F=1 processes
• Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c
• Two-loop virtual corrections to B --> X_s l^+ l^- in the standard model
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• The rare decay B --> X_s l^+ l^- to NNLL precision for arbitrary dilepton invariant mass
• Electroweak radiative corrections to b --> s gamma
• QCD Corrections to B -> X_{d,s} nu nubar, B_{d,s} -> l^+l^-, K -> pi nu nubar and K_L -> mu^+ mu^- in the MSSM
• 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-
• B -> Xs l+ l- decays in supersymmetry
• Matching Conditions for $b\to s\gamma$ and $b\to sgluon$ in Extensions of the Standard Model
• Forward-backward and isospin asymmetry for B -> K* l+ l- decay in the standard model and in supersymmetry
• Determining the sign of the b -> s gamma amplitude
• Probing for New Physics in Polarized ${\Lambda }_b$ decays at the Z
• Radiative and Electroweak Penguin Decays of B Mesons
• Fermionic NNLL corrections to b -> s γ
• Forward--Backward Asymmetry in B -> X_s l^+ l^- at the NNLL Level
• Nonperturbative Effects in $\bar{B}\to X_s{l}^{+}{l}^{-}$ for Large Dilepton Invariant Mass
• NNLL corrections to the angular distribution and to the forward-backward asymmetries in b -> X_s l+ l-
• Time-dependent CP Asymmetry in B->K* gamma as a (Quasi) Null Test of the Standard Model
• Penguins with Charm and Quark-Hadron Duality
• The B -> X_s gamma Photon Spectrum
• Complete gluon bremsstrahlung corrections to the process b -> s l+ l-
• Precision Flavour Physics with $B\to K\nu \bar{\nu }$ and $B\to K{l}^{+}{l}^{-}$
• Penguin contributions to CP phases in $B_{d,s}$ decays to charmonium
• The electromagnetic dipole operator effect on B -> Xs gamma at O(alpha_s^2)
• Inclusive Decay Rate for $B\to X_d+\gamma$ in Next-to-Leading Logarithmic Order and CP Asymmetry in the Standard Model
• Two-Loop Matrix Element of the Current-Current Operator in the Decay B -> X_s gamma
• Enhanced Non-local Power Corrections to the B->X_s+gamma Decay Rate
• Extracting short distance information from b -> s l+ l- effectively
• Precise predictions for B -> Xs l+ l- in the large q^2 region
• On the invisible decays of the Upsilon and J/Psi resonances
• Virtual- and bremsstrahlung corrections to b -> d l+ l- in the standard model
• B-meson dileptonic decays enhanced by supersymmetry with large $\tan \beta$
• Heavy-to-light currents at NNLO in SCET and semi-inclusive anti-B ---> X(s) l+ l- decay
• B->X_s l^+l^- in the MSSM at NNLO
• Normalizing inclusive rare B decays
• Probe R-parity Violating Supersymmetry Effects in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B_s\to {\ell }^{+}{\ell }^{-}$ Decays
• Phenomenology of inclusive $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ for the Belle II era
• Rare b hadron decays at the LHC
• Complete bremsstrahlung corrections to the forward-backward asymmetries in $b\to X_s{\ell }^{+}{\ell }^{-}$
• B^0-\bar{B}^0 mixing and B \to X_s γdecay in the third type 2HDM: effects of NLO QCD contributions
• Note on the Extraction of |V_{ub}| using Radiative B Decays
• Shape-Function Effects and Split Matching in B-> Xs l+ l-
• Tree-level contributions to B -> Xs gamma
• Charming New $B$-Physics
• Reevaluating Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• NNLO QCD counterterm contributions to $B$ \to $X_s\gamma$ for the physical value of $m_c$
• The B -> X_d l^+ l^- decay in general two Higgs doublet model
• Imminent Phenomenology of a Minimal Gauge-Mediated Model
• Perturbative QCD- and Power-Corrected Hadron Spectra and Spectral Moments in the Decay $B\to X_s{\ell }^{+}{\ell }^{-}$
• Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d{\ell }^{+}{\ell }^{-}$
• Vector Quark Model and B to X_s gamma Decay
• B--> K^* l^+ l^- decay in the two Higgs doublet model with flavor changing neutral currents
• Nonperturbative m_X cut effects in B -> Xs l+ l- observables
• Effects of the scalar FCNC in $b\to s{l}^{+}{l}^{-}$ transitions and supersymmetry
• Double-lepton polarization asymmetries in the Exclusive (B -> rho l^+ l^-) decay beyond the Standard Model
• Exclusive (B -> rho l^+ l^-) decay and Polarized lepton pair forward--backward asymmetries
• Status of SM calculations of b > s transitions
• Failure of JoAnne's Global Fit to the Wilson Coefficients in Rare B Decays: A Left-Right Model Example
• Rare decays: theory vs. experiments
• A new model-independent way of extracting |V_ub/V_cb|
• Revisiting nonfactorizable charm-loop effects in exclusive FCNC $B$-decays
• CP Violation in rare semileptonic B decays and supersymmetry
• $B\to X_s{l}^{+}{l}^{-}$ decay in a Top quark two-Higgs-doublet model
• Rare decays $B\to X_s{l}^{+}{l}^{-}$ and $B\to K^{(\ast )}{l}^{+}{l}^{-}$ in SM and beyond
• General analysis of CP violation in polarized (b -> d l^+ l^-) decay
• Supersymmetric Effects on Isospin Symmetry Breaking and Direct CP Violation in $B\to \rho \gamma$
• Charming loops in exclusive rare FCNC $B$-decays
• Subleading Power Factorization in $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$
• Hadron Spectra and Spectral Moments in the Decay B \to X_s \ell^+ \ell^- using HQET
• Non-factorizable charming loops in FCNC B decays vs B-decay semileptonic form factors
• Radiative corrections in inclusive rare B decays
• Rare decays $\bar{B}\to X_{s(d)}\gamma$ at the NLO
• Probing anomalous right-handed top quark couplings in rare B decays
• Resolved $1/m_b$ contributions to $\bar{B}\to X_{s,d}{\ell }^{+}{\ell }^{-}$ and $\bar{B}\to X_s\gamma$
• Contribution of vector resonances to the {\bar B}_d^0 -> {\bar K}^{*0} mu^+ mu^- decay
• Three-particle distribution in B meson and charm-quark loops in FCNC B decays
• Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s\gamma$ and $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ at subleading power
• Charming-loop contribution to $B_s\to \gamma \gamma$ decay
• Recent developments in radiative B decays
• Next-to-leading Order Calculations of the Radiative and Semileptonic Rare B Decays in the Standard Model and Comparison with Data
• Backgound Gluon Effects on B -> X_s gamma gamma
• A model independent analysis of $B->X_s{\ell }^{+}{\ell }^{-}$ decays in supersymmetry
• Radiative Corrections to Radiative B Decays: Exclusive B -> V gamma at NLO
• Nonperturbative O(m_c^{-2}) Effects in B-> X_s photon from Heavy Quark Effective Theory
• Non-perturbative Effects in $B\to X_s{l}^{+}{l}^{-}$
• Factorization of multiparticle contributions to amplitudes of B-meson weak decays
• Physics reach of rare b-decays
• Update of the nonlocal sub-leading $O_1$-$O_7$ contribution to $\bar{B}\to X_s\gamma$ at LO