Measurement of angular and CP asymmetries in $D^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $D^0\to K^{+}{K}^{-}{\mu }^{+}{\mu }^{-}$ decays

Abstract

The first measurements of the forward-backward asymmetry of the dimuon pair ($A_{FB}$), the triple-product asymmetry ($A_{2\varphi }$), and the charge-parity-conjugation asymmetry ($A_{CP}$), in $D^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $D^0\to K^{+}{K}^{-}{\mu }^{+}{\mu }^{-}$ decays are reported. They are performed using data from proton-proton collisions collected with the LHCb experiment from 2011 to 2016, corresponding to a total integrated luminosity of 5 fb${}^{-1}$. The asymmetries are measured to be \begin{align*} A_{FB}(D^0\toπ^+π^-μ^+μ^-) &= (\phantom{-}3.3\pm3.7\pm0.6)\%,\\ A_{2ϕ}(D^0\toπ^+π^-μ^+μ^-)&= (-0.6\pm3.7\pm0.6)\%,\\ A_{CP}(D^0\toπ^+π^-μ^+μ^-) &= (\phantom{-}4.9\pm3.8\pm0.7)\%,\\ A_{FB}(D^0\to K^+K^-μ^+μ^-) &= (0\pm11\pm2)\%,\\ A_{2ϕ}(D^0\to K^+K^-μ^+μ^-)&= (9\pm11\pm1)\%,\\ A_{CP}(D^0\to K^+K^-μ^+μ^-) &= (0\pm11\pm2)\%, \end{align*} where the first uncertainty is statistical and the second systematic. The asymmetries are also measured as a function of the dimuon invariant mass. The results are consistent with the Standard Model predictions.

arXiv commentAll figures and tables, along with any supplementary material and additional information, are available at https://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2018-020.html

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