Bayesian fit of exclusive b → s ℓ ℓ decays: the standard model operator basis

2012/05/31 by Frederik Beaujean, Christoph Bobeth, Danny van Dyk +1 · 1 citation
Physics and Astronomy · #Basis (linear algebra) #Bayesian probability #Goodness of fit #Neutrino Physics Research #Observable #Operator (biology) #Particle physics theoretical and experimental studies #Posterior probability #Quantum Chromodynamics and Particle Interactions #Set (abstract data type) #Standard Model (mathematical formulation) #hep-ex #hep-ph

paper · pdf · doi:10.1007/jhep08(2012)030

published as JHEP 08(2012)030 · 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

openalex publication_date 2012/08/01 · arxiv created 2012/08/09 · arxiv updated 2012/08/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We perform a model-independent fit of the short-distance couplings C_7,9,10 within the Standard Model set of b→ sγ and b→ sℓℓ operators. Our analysis of B → K^* γ, B → K^(*) ℓℓ and B_s → μμ 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→ K^*(→ Kπ) ℓℓ.

Citations

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