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.

$\Delta _{0+}$( ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}}{{\mathit \gamma}}$)

INSPIRE   JSON  (beta) PDGID:
S049IS1
$\Delta _{0+}$ describes the isospin asymmetry between $\Gamma $( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{0}}{{\mathit \gamma}}$) and $\Gamma $( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{+}}{{\mathit \gamma}}$).
VALUE DOCUMENT ID TECN  COMMENT
$\bf{ 0.063 \pm0.017}$ OUR AVERAGE
$0.062$ $\pm0.015$ $\pm0.013$ 1
HORIGUCHI
2017
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$0.066$ $\pm0.021$ $\pm0.022$ 2
AUBERT
2009AO
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$0.050$ $\pm0.045$ $\pm0.037$ 3
AUBERT,BE
2004A
 BABR Repl. by AUBERT 2009AO
$0.012$ $\pm0.044$ $\pm0.026$
NAKAO
2004
BELL Repl. by HORIGUCHI 2017
1  Uses B(${{\mathit \Upsilon}{(4S)}}$ $\rightarrow$ ${{\mathit B}^{+}}{{\mathit B}^{-}}$) = ($51.4$ $\pm0.6)\%$ and B(${{\mathit \Upsilon}{(4S)}}$ $\rightarrow$ ${{\mathit B}^{0}}{{\overline{\mathit B}}^{0}}$) = ($48.6$ $\pm0.6)\%$.
2  Uses the production ratio of charged and neutral ${{\mathit B}}$ from ${{\mathit \Upsilon}{(4S)}}$ decays and the lifetime ratio ${\mathit \tau}_{{{\mathit B}^{+}}}/{\mathit \tau}_{{{\mathit B}^{0}}}$ = $1.071$ $\pm0.009$. The 90$\%$ CL interval is 0.017$<$ $\Delta _{0+}<$ 0.116
3  Uses the production ratio of charged and neutral B from ${{\mathit \Upsilon}{(4S)}}$ decays R${}^{+/0}$ = $1.006$ $\pm0.048$ and the lifetime ratio of ${{\mathit \tau}}_{{{\mathit B}^{+}}}$ $/$ ${{\mathit \tau}}_{{{\mathit B}^{0}}}$ = $1.083$ $\pm0.017$. The 90$\%$ CL interval is $-0.046$ $<$ $\Delta _{0+}$ $<$ 0.146.
References