# B( ${{\boldsymbol \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(3S)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \chi}_{{b2}}{(2P)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(2S)}}$ $\rightarrow$ ${{\boldsymbol \ell}^{+}}{{\boldsymbol \ell}^{-}}$ ) INSPIRE search

VALUE ($10^{-4}$) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 2.74 \pm0.29}$ OUR AVERAGE
$3.22$ ${}^{+0.58}_{-0.53}$ ${}^{+0.16}_{-0.71}$ 1
 2014 M
BABR ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$2.49$ $\pm0.47$ $\pm0.31$ 53 2
 1992 B
CLE2 ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$
$2.74$ $\pm0.33$ $\pm0.18$ 3
 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 converted photons.
2  CRAWFORD 1992B quotes 2${\times }$B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{bJ}}{(2P)}}$ ) B( ${{\mathit \chi}_{{bJ}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(nS)}}$ ) B( ${{\mathit \Upsilon}{(nS)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ ).
3  Calculated by us. HEINTZ 1992 quotes B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ ) ${\times }$B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) = ($1.90$ $\pm0.23$ $\pm0.18$) $\%$ 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
 CRAWFORD 1992B
PL B294 139 Exclusive ${{\mathit \chi}{(2P)}}$ Production in ${{\mathit \Upsilon}{(3S)}}$ Decay
 HEINTZ 1992
PR D46 1928 ${\mathit {\mathit b}}{\mathit {\overline{\mathit b}}}$ Spectroscopy from the ${{\mathit \Upsilon}{(3S)}}$ State