A Comparative Study of the Decays $B\to (K,K^{\ast }){\ell }^{+}{\ell }^{-}$ in Standard Model and Supersymmetric Theories

Abstract

Using improved theoretical calculations of the decay form factors in the Light Cone-QCD sum rule approach, we investigate the decay rates, dilepton invariant mass spectra and the forward-backward (FB) asymmetry in the decays $B\to (K,K^{\ast }){\ell }^{+}{\ell }^{-}$ (${\ell }^{\pm }=e^{\pm },{\mu }^{\pm },{\tau }^{\pm }$) in the standard model (SM) and a number of popular variants of the supersymmetric (SUSY) models. Theoretical precision on the differential decay rates and FB-asymmetry is estimated in these theories taking into account various parametric uncertainties. We show that existing data on $B\to X_s\gamma$ and the experimental upper limit on the branching ratio $\mathcal{B}(B\to K^{\ast }{\mu }^{+}{\mu }^{-})$ provide interesting bounds on the coefficients of the underlying effective theory. We argue that the FB-asymmetry in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ constitutes a precision test of the SM and its measurement in forthcoming experiments may reveal new physics. In particular, the presently allowed large-$\tan \beta$ solutions in SUGRA models, as well as more general flavor-violating SUSY models, yield FB-asymmetries which are characteristically different from the corresponding ones in the SM.

36 pages, 12 figures (require epsfig.sty), 8 Tables, LaTeX2e; subsection 6.4 corrected, minor changes in numerical results, Figures 3 and 9 to 12 modified; submitted to Physical Review D

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• Angular distribution as an effective probe of new physics in semi-hadronic three-body meson decays
• $L_{\mu }-L_{\tau }$ effects to quarks and leptons from flavor unification
• Implication of Z-mediated FCNC on semileptonic decays $B_s\to \varphi l^{+}{l}^{-}$ and $B^{+}\to K^{+}{l}^{+}{l}^{-}$
• New physics upper bound on the branching ratio of B_s --> l+ l- gamma
• HERA-B: Physics Potential and Prospects
• Theory of CP Violation in the B-Meson System
• Soft-collinear factorization in B decays
• Analysis of Forward-Backward and Lepton Polarization Asymmetries in $B\to K_1{\ell }^{+}{\ell }^{-}$ Decays in the Two-Higgs-doublet Model
• BaBar B Decay Results
• Analysis of the lepton polarisation asymmetries of $\bar{B}\to {\bar{K}}_2(1430){\ell }^{+}{\ell }^{-}$ decay
• Probe the effects of split SUSY in rare B decays
• Scrutinizing $B^0$-meson flavor changing neutral current decay into scalar $K_0^{\ast }(1430)$ meson with $b\to s{\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$ transition
• Search for $B^0\to K^{\ast 0}{\tau }^{+}{\tau }^{-}$ decays at the Belle II experiment
• Challenges for New Physics in the Flavour Sector
• Next-to-leading Order Calculations of the Radiative and Semileptonic Rare B Decays in the Standard Model and Comparison with Data
• CLEO Results: B Decays
• Lepton polarization and CP-violating effects in $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ Decay in Standard and Two Higgs Doublet Model
• Polarized and Unpolarized Lepton Pair Forward-backward Asymmetries in $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ and $\overline{B}\to \overline{K}{\ell }^{+}{\ell }^{-}$ Decays in Two Higgs Doublet Model
• Effective Lagrangian for $\bar{s}bg$ and $\bar{s}b\gamma$ Vertices in the mSUGRA model
• B \to 0^{+}(1^{+}) + missing energy in Unparticle Physics
• $R(K^{(\ast )})$ with vector unparticles
• A gauged non-universal $U(1{)}_X$ model to study muon $g-2$ and $B$ meson anomalies
• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state
• QCD and Heavy Hadron Decays
• Effective Valence Quark Model and a Possible Dip in $dBr(B\to K\ell \bar{\ell })/d{q}^2$
• Short and long distance contributions to $B\to K^{\ast }\gamma \gamma$
• The asymmetries of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay and the search of new physics beyond the Standard Model
• Rare decays / B_s CPV measurements at Tevatron
• B Decays at BABAR
• |Delta B|=1 Weak Effective Lagrangian in the Minimal Flavor Violation Supersymmetry
• T violation in $B\to K\varphi \varphi$ decays
• Search for Rare b-hadron Decays at CDF
• CKM studies from b physics at hadron machines
• Baryons and baryoniums in the perspective of QCD sum rules
• The Forward-Backward Asymmetry in the $B\to \pi {\ell }^{+}{\ell }^{-}$ Decay
• Effects of a Single Universal Extra Dimension in $B_c\to (D_s,D){\ell }^{+}{\ell }^{-}$ Decays
• First search for $B\to X_s\nu \bar{\nu }$ decays
• Physics reach of rare b-decays
• What Next in Flavour Physics and CP Violation?
• Studies of rare B hadron decays to leptons at hadron colliders
• Double-Lepton Polarization Asymmetries in B->K_1 l^+ l^- Decay in Universal Extra Dimension Model
• A Brief Account of $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay in Soft-Collinear Effective Theory
• Flavour Physics at LHCb -- 50 years of the KM paradigm
• New physics upper bound on the branching ratio of B_s--> l+ l- and B_s--> l+ l- gamma
• Implication of the HyperCP boson $X^0$ (214 MeV) in the flavour changing neutral current processes
• Probing mixed-state dark matter and flavor observables in a scalar-assisted baryonic gauge theory
• Search for the decay $B^{+}\to K^{+}{\tau }^{+}{\tau }^{-}$ using data from the Belle and Belle II experiments