No. 54 (00166) Family name : Watanabe Given name : Takashi Affiliation : Kougakuin Univ. Abbreviation : E-mail address : Takashi.Watanabe@map.kogakuin.ac.jp Title : Luminosity spectrum measurement in future e+ e- linear colliders Authors : J. Fujimoto, S. Kawabata, Y. Kurihara, A. Shibata, T. Watanabe Abstract : In future e+e- linear colliders, the collider energy cannot be monochromatic due to the large effects of beam-beam interaction before e+e- collisions. The luminosity must have a continue spectrum which distributes around the nominal energy and has a long tail toward the low-energy region. An a accurate measurement of the luminosity spectrum is indispensable for a precise experiments at e+ e- linear colliders. It is fond that the spectrum can be determined by measuring the accolinearity angle of Bhabha events by tracking device with good angular resolution. We need, however, 10 fb-1 with minimal acceptance angle of 45 degrees to get the parameters of the beams with appropriate accuracies. In order to make the interval of the sampling shorten, further information of Bhabha events, like the calorimetric energy or momenta of the tracks, can be used. We would like to propose to apply the Baysian parameter estimation or Baysian learning approach to pattern classification problems to determine the luminosity function.