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Dispersive Analysis of Bto K^((*)) and B_sto φ Form Factors

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arxiv 2305.06301 v4 pith:EW7BZSRG submitted 2023-05-10 hep-ph hep-exhep-lat

Dispersive Analysis of Bto K^((*)) and B_sto φ Form Factors

classification hep-ph hep-exhep-lat
keywords factorsformanalysisdispersiveaccountarisingbeenbelow-threshold
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform the first simultaneous dispersive analysis of the $B\to K$, $B\to K^*$, and $B_s\to \phi$ form factors. By means of an improved parametrization, we take into account the form factors' below-threshold branch cuts arising from on-shell $\bar{B}_s \pi^0$ and $\bar{B}_s \pi^0 \pi^0$ states, which so far have been ignored in the literature. In this way, we eliminate a source of hard-to-quantify systematic uncertainties. We provide machine-readable files to obtain the full set of the $\bar{B}\to \bar{K}^{(*)}$ and $\bar{B}_s\to \phi$ form factors in and beyond the entire semileptonic phase space.

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