1. Simulation of Neutrino Factory beam and quasielastic scattering off electrons in the near detector Yordan Karadzhov University of Sofia “St. Kliment Ohridski”

2. Initial conditions of simulation : Length of the straight section of muon storage ring – 500 m. Muon decays are evenly distributed along the straight section. Distance from the end of the straight section to the detector is 500 m.

3. Muon beam parameters : 1. polarization : 1, -1 and 0. 2. beam energies : 20, 30, 40 GeV. 3. energy distribution : Gaussian (σ = 80 MeV) 4. angular distribution : Gaussian (σ = 0.5x10 -3 ) 5. Distribution in a plane perpendicular to the beam : Gaussian (σ = 5cm)

4. Muon decay matrix element For ν μ For anti ν e where x = 2E ν /m µ, P µ is the polarization of the muon and θ is the angle between polarization vector and neutrino direction.

5. Muon decay matrix element (neutrino energies and polar angles in c.m. system)

6. Distributions of generated events in c.m system.

7. Neutrino beam Distributions of points where ν μ cross a plane situated at 500 m from the end of the straight section and perpendicular to the beam axis for polarization 1 and -1. Muon energy 40 GeV

8. Neutrino beam Distributions of points where anti ν e cross a plane situated at 500 m from the end of the straight section and perpendicular to the beam axis for polarization 1 and -1. Muon energy 40 GeV.

9. Neutrino beam Number of neutrinos per cm 2 in the same plane for 100000 muon decays simulated Muon energy 40 GeV.

10. Distributions of neutrino energies and polar angles in lab. system. Muon energy 40 GeV.

11. Quasielastic scattering off electrons in the near detector (from “Leptons and quarks” L.B.Okun) 1. Cross section is isotropic in c.m. system

12. Quasielastic scattering off electrons in the near detector 2. Differential cross section in c.m. system is: And total cross section is:

13. Energy spectrums for ν μ (green) and anti ν e (blue). Red line indicates the energy threshold. Muon energy 40 GeV.

14. Energy spectrum of ν μ (green) and anti ν e (blue) passing through the cylinder with radius 1 m and thickness 30 cm, and at 500 m distance from the end of the straight section. Red line indicates the energy threshold. Muon energy 40 GeV.

15. Energy spectrums of muons from reaction (green) and (blue) in that cylinder. Muon energy 40 GeV.

16. Energy versus polar angle for muons from reaction and Muon energy 20 GeV.

17. Distribution of polar angle of muons from reaction (green) and (blue) Muon energy 20 GeV.

18. Total number of muons per year (10 21 muon decays per year) produced in a cylindrical detector with radius 1 m, thickness 30 cm and density 1.032 g/cm 3 (scintillator, total mass ~1 ton), 500 m distant from the end of the straight section. The third column shows total number of muons per year produced in the same cylinder from inclusive CC reactions (cross section = k.E ν, k taken from PDG ). E = 40GeV, P = 1 6.87x10 5 5.81x10 5 1.92x10 9 E = 40GeV, P = -1 1.67x10 6 6.97x10 4 2.81x10 9 E = 30GeV, P = 1 2.02x10 5 1.97x10 5 1.32x10 9 E = 30GeV, P = -1 5.89x10 5 1.60x10 4 1.91x10 9 E = 20GeV, P = 1 1.83x10 4 1.14x10 4 8.07x10 8 E = 20GeV, P = -1 7.83x10 4 7.76x10 2 1.14x10 9

19. Total number of muons from pure leptonic reactions as a function of distance between end of the straight section and detector with 1 m radius and ~ 1 ton mass. 400m long straight section is used for these simultaions. Muon energy 20 GeV.