${{\mathit B}^{0}}-{{\overline{\mathit B}}^{0}}$ MIXING PARAMETERS

For a discussion of ${{\mathit B}^{0}}-{{\overline{\mathit B}}^{0}}$ mixing see the note on “${{\mathit B}^{0}}-{{\overline{\mathit B}}^{0}}$ Mixing” in the ${{\mathit B}^{0}}$ Particle Listings above.
${{\mathit \chi}_{{{d}}}}$ is a measure of the time-integrated ${{\mathit B}^{0}}-{{\overline{\mathit B}}^{0}}$ mixing probability that a produced ${{\mathit B}^{0}}({{\overline{\mathit B}}^{0}}$) decays as a ${{\overline{\mathit B}}^{0}}({{\mathit B}^{0}}$). Mixing violates $\Delta \mathit B{}\not=$2 rule.
${{\mathit \chi}_{{{d}}}}$ = ${\mathit x{}^{2}_{\mathit d}\over 2(1+\mathit x{}^{2}_{\mathit d})}$

$\mathit x_{\mathit d}$ = ${\Delta {\mathit m}_{{{\mathit B}^{0}}}\over \Gamma _{{{\mathit B}^{0}}}}$ = (${\mathit m}_{{{\mathit B}_{{{H}}}^{0}}}$ $-$ ${\mathit m}_{{{\mathit B}_{{{L}}}^{0}}}){\mathit \tau}_{{{\mathit B}^{0}}}$ ,
where $\mathit H$, $\mathit L$ stand for heavy and light states of two ${{\mathit B}^{0}}$ $\mathit CP$ eigenstates and ${\mathit \tau}_{{{\mathit B}^{0}}}$ = ${1\over 0.5 (\Gamma _{{{\mathit B}_{{{H}}}^{0}}}+\Gamma _{{{\mathit B}_{{{L}}}^{0}}})}$.

Re(z)

INSPIRE   JSON  (beta) PDGID:
S042RZ0
VALUE ($ 10^{-2} $) DOCUMENT ID TECN  COMMENT
$\bf{ -4 \pm4}$ OUR AVERAGE  Error includes scale factor of 1.4.
$-6.5$ $\pm2.8$ $\pm1.4$ 1
LEES
2016E
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$1.9$ $\pm3.7$ $\pm3.3$ 2
HIGUCHI
2012
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$0$ $\pm12$ $\pm1$ 3
HASTINGS
2003
BELL Repl. by HIGUCHI 2012
1  Measurement uses decays ${{\mathit B}^{0}}/{{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit c}}{{\overline{\mathit c}}}{{\mathit K}_S^0}$ /${{\mathit K}_L^0}$ .
2  Measured using ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ , ${{\mathit J / \psi}}{{\mathit K}_L^0}$ , ${{\mathit D}^{-}}{{\mathit \pi}^{+}}$, ${{\mathit D}^{*-}}{{\mathit \pi}^{+}}$, ${{\mathit D}^{*-}}{{\mathit \rho}^{+}}$, and ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ decays.
3  Measured using inclusive dilepton events from ${{\mathit B}^{0}}$ decay.
References