${{\boldsymbol \chi}_{{b0}}{(2P)}}$ BRANCHING RATIOS

B( ${{\boldsymbol \chi}_{{b0}}{(2P)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(3S)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \chi}_{{b0}}{(2P)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(1S)}}$ $\rightarrow$ ${{\boldsymbol \ell}^{+}}{{\boldsymbol \ell}^{-}}$ ) INSPIRE search

VALUE ($ 10^{-5} $) DOCUMENT ID TECN  COMMENT
$\bf{ 1.4 \pm0.9}$ OUR AVERAGE
$1.7$ ${}^{+1.5}_{-1.4}$ ${}^{+0.1}_{-1.2}$ 1
LEES
2014M
BABR ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$1.3$ $\pm1.0$ $\pm0.3$ 2
HEINTZ
1992
CSB2 ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$
1  From a sample of ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ with one converted photon.
2  Calculated by us. HEINTZ 1992 quotes B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b0}}{(2P)}}$ ) ${\times }$B( ${{\mathit \chi}_{{b0}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) = ($0.05$ $\pm0.04$ $\pm0.01)\%$ using B( ${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ) =($2.57$ $\pm0.05)\%$.
  References:
LEES 2014M
PR D90 112010 Bottomonium Spectroscopy and Radiative Transitions Involving the ${{\mathit \chi}_{{bJ}}{(1P,2P)}}$ States at BABAR
HEINTZ 1992
PR D46 1928 ${\mathit {\mathit b}}{\mathit {\overline{\mathit b}}}$ Spectroscopy from the ${{\mathit \Upsilon}{(3S)}}$ State