See for example Physics Rev. D5, 1412 (1972)

et aI, Experimental Proposal to LAMPF

the need for a more careful calculation using Monte Carlo techniques. For example, for ease of calculation, we have here taken the energy of the neutrino in the center of mass of the KO ~ ~ev decay to be 2/3 the maximum value. The fact that these neutrinos have a broad energy distribution may seriously affect the low end of the resulting ve spectrum at the detector For the purpose of estimating event rates. we assume the cross sections for processes 1 and 2 to be 0.8 x E x v -38 2 10 cm /nucleon, and the cross section for the corresponding antineutrino induced processes to be a- = 1/3 a For the ~ v purely leptonic processes v + e.... ve + e- and V\-L + e-....e we use the V-A prediction of 1.5 x E x 10-41 cm2/ V electron. We calculate the number of events produced in an experiment using a total of 10 19 protons interacting in the neutrino target, and using a 20 ton neutrino detector with Z/A ~ 1/