Patrick Janot edited Sensitivities.tex  about 9 years ago

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{\bf Background processes}  The major background identified in Ref.~\cite{Amjad_2013} (which Ref.~\cite{Baer_2013} is based upon) is the single-top production in association with a W boson and a b quark, through WW$^\ast$ production, as it leads to the same final state as the top-quark pair production. The corresponding cross section~\cite{Boos_2001} increases fast with the centre-of-mass energy, and critically depends on the incoming beam polarization. At $\sqrt{s} = 500$\,GeV, the single-top production cross section can reach up to 20\% of the top-pair production cross section in the final state with an electron or a positron and in the ${\rm e^-_L e^+_R}$ initial polarization configuration, but configuration. Yet,  this background has yet to be not been  included in the top-quark electroweak coupling study. study of Ref.~\cite{Baer_2013}.  At $\sqrt{s} = 360$\,GeV and with unpolarized beams, however, the single-top cross section amount in the same final state amounts  to about 0.1\% of the pair production cross section in the same final state, section,  and can therefore be safely ignored wihtout without introducing  additional uncertainties. {\bf Other experimental uncertainties}  A number of other experimental  uncertainties are listed in Ref.~\cite{Amjad_2013}, such as those affecting the measurement of the beam polarization (which enters crucially the cross section measurement); the effects of beamstrahlung; or the unambiguous top-quark reconstruction (which enters crucially the forward-backward asymmetry measurement). These uncertainties apply neither to the FCC-ee, where beamstrahlung effects are negligible and no beam polarization needs to be measured, nor to the present study, as the top-quark direction does not be to be reconstructed. The uncertainty on the total cross section is at the per-mil level, and the precision of the  integrated luminosity measurement can be controlledwith an accuracy close  to a fraction of a per mil. {\bf Integrated luminosity profile}  The target luminosities at the FCC-ee are displayed in Fig.~\ref{fig:lumi} as a function of the centre-of-mass energy (together energy, together  with the target luminosities of other ${\rm e^+ e^-}$ colliders under study in the world). world.  At $\sqrt{s} = 350 GeV$, 350$\, GeV,  a luminosity of $7.2 \times 10^{34}\, {\rm cm}^{-2}{\rm s}^{-1}$ is expected to be democratically  distributed to  four interaction regions, leading to an integrated luminosity of $3.6\, {\rm ab}^{-1}$ over a period of five years. About $1{\rm ab}^{-1}$ ought to be kept for threshold measurements (leading to a statistical precision on the top mass of about 15\,MeV), and the rest can be used to perform measurements above the production threshold.