# $\phi {}^{ {{\boldsymbol K}_S^0} {{\boldsymbol \pi}} {{\boldsymbol \pi}} }$ INSPIRE search

Parametrizes $\mathit CP$ violation in the interference between ${{\mathit D}^{0}}$ mixing and decay. The mass eigenstates ${{\mathit D}_{{1}}^{0}}$ and ${{\mathit D}_{{2}}^{0}}$ are related to the $\mathit C$ = $\pm1$ states by $|{{\mathit D}_{{1,2}}}>$ = p$~|{{\mathit D}^{0}}>$ + q $|{{\overline{\mathit D}}^{0}}>$. In the absence of $\mathit CP$ violation in the decay, and using the usual phase convention where $\mathit CP$ conservation implies q/p is real, $\phi {}^{ {{\mathit K}_S^0} {{\mathit \pi}} {{\mathit \pi}} }$ is identical to the decay-mode-independent parameter $\phi$ = arg(q/p).
VALUE EVTS DOCUMENT ID TECN  COMMENT
$\bf{ -0.09 {}^{+0.10}_{-0.13}}$ OUR AVERAGE
$-0.09$ ${}^{+0.11}_{-0.16}$ 2.3M 1
 2019 X
LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$-0.10$ $\pm0.19$ $\pm0.05$ ${}^{+0.05}_{-0.07}$ 1.2M 2
 2014
BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \Upsilon}{(4S,5S)}}$
1  AAIJ 2019X ${{\mathit D}^{0}}$ come from ${{\mathit D}^{*+}}$ and ${{\overline{\mathit B}}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \mu}^{-}}{{\mathit X}}$ decays (and c.c.) in ${{\mathit p}}{{\mathit p}}$ collisions at 7 and 8 TeV.
2  The last uncertainty is due to the amplitude model .
References:
 AAIJ 2019X
PRL 122 231802 Measurement of the mass difference between neutral charm-meson eigenstates
 PENG 2014
PR D89 091103 Measurement of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing and Search for Indirect $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays