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

VALUE ($10^{-5}$) DOCUMENT ID TECN  COMMENT
$\bf{ 4.4 \pm1.6}$ OUR AVERAGE
$6.6$ ${}^{+4.9}_{-4.0}$ ${}^{+2.0}_{-0.3}$ 1
 2014 M
BABR ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$4.0$ $\pm1.7$ $\pm0.3$ 2
 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( ${{\mathit \chi}_{{b0}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) = ($0.28$ $\pm0.12$ $\pm0.03)\%$ using B( ${{\mathit \Upsilon}{(2S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ) =($1.44$ $\pm0.10)\%$.
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