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Lattice QCD calculation of form factors describing the rare decays B to K^* ell^+ ell^- and B_s to φ ell^+ ell^-

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arxiv 1310.3722 v3 pith:HOM23YUM submitted 2013-10-14 hep-lat hep-ph

Lattice QCD calculation of form factors describing the rare decays B to K^* ell^+ ell^- and B_s to φ ell^+ ell^-

classification hep-lat hep-ph
keywords decaysfactorsformlatticerareaccurateactionbottom
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The rare decays $B^0 \to K^{*0} \mu^+ \mu^-$ and $B_s \to \phi \mu^+ \mu^-$ are now being observed with enough precision to test Standard Model predictions. A full understanding of these decays requires accurate determinations of the corresponding hadronic form factors. Here we present results of lattice QCD calculations of the $B \to K^*$ and $B_s \to \phi$ form factors; we also determine the form factors relevant for the tree-level decays $B_s \to K^* \ell \nu$. We use full-QCD configurations including 2+1 flavors of sea quarks using an improved staggered action, and we employ lattice non-relativistic QCD to describe the bottom quark.

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Cited by 4 Pith papers

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    A global fit of b→s ℓ+ℓ− and b→s νν data finds that hadronic charm-loop effects, not a new short-distance coupling C9, can explain the observed anomalies.

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    Lattice-only Dispersive Matrix form factors enlarge large-recoil uncertainties and, with new angular data, favour long-distance hadronic effects over a short-distance C9 New Physics shift.

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    Reviews unitarity bounds for B-meson form factors, shows standard methods apply rigorously only to B→π, develops GG parametrization for general cases, and delivers combined-analysis predictions with public supplementa...