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Patrick Janot edited Beam energy measurement.tex
over 10 years ago
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At TLEP, instead, it will be possible to keep a few non-colliding bunches out of the 4400 (Z pole) or 600 (WW threshold) bunches without significant loss of luminosity, and apply resonant regular spin depolarization on those. This technique will allow continuous beam energy measurements, in the exact same conditions as for the colliding bunches, with an accuracy of 100 keV or so for each measurement, hence with an accuracy of 100 keV/$\sqrt{N}$ for $N$ measurements. With the statistics foreseen to be available at the Z pole, a precision of 0.1 MeV or better will therefore be at hand for the Z mass and width measurements. Similarly, at the WW threshold, the beam energy uncertainty should translate to a systematic uncertainty smaller than 0.1 MeV on the W mass.
If polarization cannot be established at higher
centre-of mass centre-of-mass energies, the beam energy can be determined from the precise knowledge of the Z and W masses and with the use of the energy-momentum conservation in kinematic fits of (i) the $\epemto {\rm Z}\gamma$ process~\cite{cite:0506115}; (ii) the $\epemto {\rm ZZ}$ process; and {\it (iii)} the $\epemto {\rm WW}$ process. These three processes will allow the average beam energy (and its spread) to be determined with a statistical precision better than 1 MeV at $\sqrt{s} = 240$ GeV and $350$ GeV.