Calculation of B⁰ → K^*0 μ⁺ μ^- and B_s⁰ → ϕμ⁺ μ^- observables using form factors from lattice QCD

2013/10/31 by Ronald R. Horgan, Zhaofeng Liu, Stefan Meinel +1 · 1 citation
Physics and Astronomy · #hep-ph #hep-ex #hep-lat

paper · pdf · doi:10.1103/physrevlett.112.212003

published as Phys. Rev. Lett. 112, 212003 (2014) · 6 pages. Updated form factors according to arXiv:1310.3722v3. New discussion of charmonium resonances. Accepted by PRL

arxiv created 2014/05/07 · arxiv updated 2014/06/02

Abstract

We calculate the differential branching fractions and angular distributions of the rare decays B⁰ → K^*0 μ⁺ μ^- and B_s⁰ → ϕμ⁺ μ^-, using for the first time form factors from unquenched lattice QCD. We focus on the kinematic region where the K^* or ϕ recoils softly; there the newly available form factors are most precise and the nonlocal matrix elements can be included via an operator product expansion. Our results for the differential branching fractions calculated in the Standard Model are higher than the experimental data. We consider the possibility that the deviations are caused by new physics, and perform a fit of the Wilson coefficients C₉ and C₉^′ to the experimental data for multiple B⁰ → K^*0 μ⁺ μ^- and B_s⁰ → ϕμ⁺ μ^- observables. In agreement with recent results from complementary studies, we obtain C₉-C₉^SM = -1.0 ± 0.6 and C₉^′ = 1.2 ± 1.0, whose deviations from zero would indicate the presence of non-standard fundamental interactions.

Citations

• Lattice QCD calculation of form factors describing the rare decaysB→K*ℓ+ℓ−andBs→ϕℓ+ℓ−

Cited by

• Rare B decays using lattice QCD form factors

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