ISOSPIN ASYMMETRY

$\Delta _{0-}$ is defined as
${\Gamma\mathrm {({{\overline{\mathit B}}^{0}} \rightarrow {{\mathit f}_{{{d}}}})}–\Gamma\mathrm {({{\mathit B}^{-}} \rightarrow {{\mathit f}_{{{u}}}})}\over \Gamma\mathrm {({{\overline{\mathit B}}^{0}} \rightarrow {{\mathit f}_{{{d}}}})}+\Gamma\mathrm {({{\mathit B}^{-}} \rightarrow {{\mathit f}_{{{u}}}})}}$,
the isospin asymmetry of inclusive neutral and charged B decay.

$\Delta _{{{\mathit \rho}} {{\mathit \gamma}}}$ = $\Gamma ({{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \rho}^{+}}{{\mathit \gamma}}$) $/$ (2 $\cdot{}$ $\Gamma ({{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \gamma}}$) ) $−$ 1

INSPIRE   JSON PDGID:
S049IA2
VALUE DOCUMENT ID TECN  COMMENT
$\bf{ -0.36 \pm0.13}$ OUR AVERAGE
$-0.197$ ${}^{+0.190}_{-0.182}$ ${}^{+0.119}_{-0.127}$ 1
ADACHI
2025G
 
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-0.43$ ${}^{+0.25}_{-0.22}$ $\pm0.10$
AUBERT
2008BH
 
BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-0.48$ ${}^{+0.21}_{-0.19}$ ${}^{+0.08}_{-0.09}$
TANIGUCHI
2008
 
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
1  ADACHI 2025G reports the ratio (2 $\Gamma ({{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \gamma}}$) $−$ $\Gamma ({{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \rho}^{+}}{{\mathit \gamma}}$) ) $/$ (2 $\Gamma ({{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit \gamma}}$) + $\Gamma ({{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \rho}^{+}}{{\mathit \gamma}}$) ) = $0.109$ ${}^{+0.112}_{-0.117}{}^{+0.068}_{-0.062}{}^{+0.038}_{-0.039}$, where the last uncertainty comes from ${{\mathit f}_{{{+-}}}}/{{\mathit f}_{{{00}}}}$ uncertainty combined with the one from ${\mathit \tau}_{{{\mathit B}^{+}}}/{\mathit \tau}_{{{\mathit B}^{0}}}$ lifetimes ratio.
References