LEPTON (HADRON) FORWARD-BACKWARD ASYMMETRY IN ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}^{(*)}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ ( ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}}$ $/$ ${{\mathit \pi}}{{\mathit h}^{+}}{{\mathit h}^{-}}$) DECAY

The forward-backward angular asymmetry of the lepton pair in ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}^{(*)}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ ( ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}}$ $/$ ${{\mathit \pi}}{{\mathit h}^{+}}{{\mathit h}^{-}}$) decay is defined as
A$_{FB}$(s) = ${ N(cos\theta >0) − N(cos\theta <0)\over N(cos\theta >0) + N(cos\theta <0) }$,
where s=q${}^{2}/{{\mathit m}^{2}}_{{{\mathit B}}}$, and $\theta $ is the angle of the ${{\mathit \ell}^{-}}$ (${{\mathit h}^{-}}$) with respect to the flight direction of the ${{\mathit B}}$ meson, measured in the dilepton (dihadron) rest frame. In addition, the fraction of longitudinal polarization F$_{L}$ of the ${{\mathit K}^{*}}$ and F$_{S}$, the relative contribution from scalar and pseudoscalar penguin amplitudes in ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$, can be measured from the angular distribution of its decay products.

A$_{FB}$( ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}^{*}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$) (0.1 $<$ q${}^{2}<$ 2.0 GeV${}^{2}$/c${}^{4}$)

INSPIRE   PDGID:
S049FB5
VALUE DOCUMENT ID TECN  COMMENT
$\bf{ -0.01 \pm0.14}$ OUR AVERAGE  Error includes scale factor of 1.4.  See the ideogram below.
$-0.02$ $\pm0.12$ $\pm0.01$
AAIJ
2013Y
LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV, ${{\mathit K}^{*0}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$-0.35$ ${}^{+0.26}_{-0.23}$ $\pm0.10$
AALTONEN
2012I
CDF ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV
$0.47$ ${}^{+0.26}_{-0.32}$ $\pm0.03$
WEI
2009A
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.29$ ${}^{+0.37}_{-0.00}$ $\pm0.18$ 1
CHATRCHYAN
2013BL
CMS ${{\mathit p}}{{\mathit p}}$ at 7 TeV
$-0.15$ $\pm0.20$ $\pm0.06$
AAIJ
2012U
LHCB Repl. by AAIJ 2013Y
$0.13$ ${}^{+1.65}_{-0.75}$ $\pm0.25$
AALTONEN
2011L
CDF Repl. by AALTONEN 2012I
1  CHATRCHYAN 2013BL uses, for this bin, 1.0 $<$ q${}^{2}<$ 2.0 GeV${}^{2}$/c${}^{4}$.

           A$_{FB}$( ${{\mathit B}}$ $\rightarrow$ ${{\mathit K}^{*}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$) (0.1 $<$ q${}^{2}<$ 2.0 GeV${}^{2}$/c${}^{4}$)
References