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The difference between the $CP$ asymmetries in the decays $\varLambda_{c}^{+}\to pK^{-}K^{+}$ and $\varLambda_{c}^{+} \to p\pi^{-}\pi^{+}$ is presented.Proton-proton collision data taken at centre-of-mass energies of $7$ and$8\,\mathrm{TeV}$ collected by the LHCb detector in 2011 and 2012 are used,corresponding to an integrated luminosity of $3\,\mathrm{fb}^{-1}$. The$\varLambda_{c}^{+}$ candidates are reconstructed as part of the$\varLambda_{b}^{0} \to \varLambda_{c}^{+}\mu^{-}X$ decay chain. In order tomaximize the cancellation of production and detection asymmetries in thedifference, the final-state kinematic distributions of the two samples arealigned by applying phase-space-dependent weights to the $\varLambda_{c}^{+}\to p\pi^{-}\pi^{+}$ sample. This alters the definition of the integrated $CP$asymmetry to $A_{CP}^{\text{wgt}}(p\pi^{-}\pi^{+})$. Both samples are correctedfor reconstruction and selection efficiencies across the five-dimensional$\varLambda_{c}^{+}$ decay phase space. The difference in $CP$ asymmetries isfound to be \begin{align*}  \Delta{A^{\text{wgt}}_{CP}} &= A_{CP}(pK^{-}K^{+}) -A_{CP}^{\text{wgt}}(p\pi^{-}\pi^{+})\\  &= (0.30 \pm 0.91 \pm 0.61)\,\%, \end{align*} where the first uncertainty isstatistical and the second is systematic.

A measurement of the $CP$ asymmetry difference in $\varLambda_{c}^{+} \to pK^{-}K^{+}$ and $p\pi^{-}\pi^{+}$ decays