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We present the first simultaneous measurement of the interaction rates of$pp$, $^7$Be, and $pep$ solar neutrinos performed with a global fit to theBorexino data in an extended energy range (0.19-2.93)$\,$MeV. This result wasobtained by analyzing 1291.51$\,$days of Borexino Phase-II data, collectedbetween December 2011 and May 2016 after an extensive scintillator purificationcampaign. We find:rate($pp$)$\,$=$\,$$134$$\,$$\pm$$\,$$10$$\,$($stat$)$\,$$^{\rm +6}_{\rm-10}$$\,$($sys$)$\,$cpd/100$\,$t,rate($^7$Be)$\,$=$\,$$48.3$$\,$$\pm$$\,$$1.1$$\,$($stat$)$\,$$^{\rm +0.4}_{\rm-0.7}$$\,$($sys$)$\,$cpd/100$\,$t, andrate($pep$)$\,$=$\,$$2.43$$\pm$$\,$$0.36$$\,$($stat$)$^{+0.15}_{-0.22}$$\,$($sys$)$\,$cpd/100$\,$t.These numbers are in agreement with and improve the precision of our previousmeasurements. In particular, the interaction rate of $^7$Be $\nu$'s is measuredwith an unprecedented precision of 2.7%, showing that discriminating betweenthe high and low metallicity solar models is now largely dominated bytheoretical uncertainties. The absence of $pep$ neutrinos is rejected for thefirst time at more than 5$\,$$\sigma$. An upper limit of $8.1$$\,$cpd/100$\,$t(95%$\,$C.L.) on the CNO neutrino rate is obtained by setting an additionalconstraint on the ratio between the $pp$ and $pep$ neutrino rates in the fit.This limit has the same significance as that obtained by the Borexino Phase-I(currently providing the tightest bound on this component), but is obtained byapplying a less stringent constraint on the $pep$ $\nu$ flux.

Simultaneous Precision Spectroscopy of $pp$, $^7$Be, and $pep$ Solar Neutrinos with Borexino Phase-II