Bayesian Fit of Exclusive $b\to s\bar{\ell }\ell$ Decays: The Standard Model Operator Basis

Abstract

We perform a model-independent fit of the short-distance couplings $C_{7,9,10}$ within the Standard Model set of $b\to s\gamma$ and $b\to s\bar{\ell }\ell$ operators. Our analysis of $B\to K^{\ast }\gamma$, $B\to K^{(\ast )}\bar{\ell }\ell$ and $B_s\to \bar{\mu }\mu$ decays is the first to harness the full power of the Bayesian approach: all major sources of theory uncertainty explicitly enter as nuisance parameters. Exploiting the latest measurements, the fit reveals a flipped-sign solution in addition to a Standard-Model-like solution for the couplings $C_i$. Each solution contains about half of the posterior probability, and both have nearly equal goodness of fit. The Standard Model prediction is close to the best-fit point. No New Physics contributions are necessary to describe the current data. Benefitting from the improved posterior knowledge of the nuisance parameters, we predict ranges for currently unmeasured, optimized observables in the angular distributions of $B\to K^{\ast }(\to K\pi )\bar{\ell }\ell$.

42 pages, 8 figures; v2: Using new lattice input for f_Bs, considering Bs-mixing effects in BR[B_s->ll]. Main results and conclusion unchanged, matches journal version

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• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Angular Distributions of B -> K ll Decays
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• Adaptive Importance Sampling in General Mixture Classes
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• New physics reach of the decay mode $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$
• Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
• Search for the decay Bs0 -> mu mu with the ATLAS detector
• Search for B_s to mu^+ mu^- and B^0 to mu^+ mu^- decays
• Exploiting the width difference in B_s -> phi gamma
• $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ in soft-collinear effective theory
• An estimate of the B-->K*gamma form factor

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• The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era
• EOS -- A Software for Flavor Physics Phenomenology
• Dispersive Analysis of $B\to K^{(\ast )}$ and $B_s\to \varphi$ Form Factors
• Time dependence in $B\to V\ell \ell$ decays
• Analysis of $B_{(s)}^0\to {\mu }^{+}{\mu }^{-}$ decays at the LHC
• EOS -- A Software for Flavor Physics Phenomenology