${{\mathit \chi}_{{b2}}{(2P)}}$ Cross-Particle Branching Ratios

B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ )

INSPIRE   PDGID:
M081A01
VALUE ($ 10^{-4} $) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 2.02 \pm0.18}$ OUR AVERAGE
$1.95$ ${}^{+0.22}_{-0.21}$ ${}^{+0.10}_{-0.16}$ 1
LEES
2014M
BABR ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$2.52$ $\pm0.47$ $\pm0.32$ 48 2
CRAWFORD
1992B
CLE2 ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$
$1.98$ $\pm0.28$ $\pm0.12$ 3
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 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( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) =($0.77$ $\pm0.11$ $\pm0.05)\%$ usingB( ${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ) = ($2.57$ $\pm0.05)\%$.
References:
LEES 2014M
PR D90 112010 Bottomonium Spectroscopy and Radiative Transitions Involving the ${{\mathit \chi}_{{bJ}}{(1P,2P)}}$ States at BABAR
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