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arXiv · 2204.11915

K-matrix Analysis of $e^+e^-$ Annihilation in the Bottomonium Region

N. Hüsken·R. E. Mitchell·E. S. Swanson
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Abstract

We perform the first global and unitary analysis of $e^+e^-\to b\bar{b}$ cross sections. We analyze exclusive cross sections in the $B\bar{B}$, $B^* \bar{B}(+c.c.)$, $B^*\bar{B}^*$, $B_s^*\bar{B}_s^*$, $Υ(nS)π^+π^-$ and $h_b(nP)π^+π^-$ channels as well as the total inclusive cross section for $b\bar{b}$ production. Pole positions and residues are determined for four vector states, which we associate with the $Υ(4S)$, $Υ(10750)$, $Υ(5S)$ (or $Υ(10860)$), and $Υ(6S)$ (or $Υ(11020)$). We find strong evidence for the new $Υ(10750)$ recently claimed by Belle, although with parameters not well constrained by the data. Results presented here cast doubt on the validity of branching ratios reported earlier using Breit-Wigner parameterizations or ratios of cross sections. We also compare our results with a selection of theoretical calculations for the vector bottomonium spectrum.

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N. Hüsken, R. E. Mitchell, E. S. Swanson. 2022-04-25. K-matrix Analysis of $e^+e^-$ Annihilation in the Bottomonium Region. https://doi.org/10.1103/physrevd.106.094013

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