MINOS Document 109-v1

Neutrino Beam Simulation using PAW with Weighted Monte Carlo

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John Urish
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John Urish
Document Created:
11 Oct 1995, 12:00
Contents Revised:
11 Oct 1995, 12:00
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09 Oct 2008, 11:24
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An algorithm is described for a "weighted" Monte Carlo procedure which significantly accelerates the calculation of energy spectra from horn-focussed and other similarly generated neutrino beams. The calculation proceeds in two steps: first is performed a standard Monte Carlo generation of hadrons in a primary target and tracking them through a beam-optical system until they decay to a neutrino; this is followed by a purely analytic calculation of the neutrino energy an flux at an arbitrarily located detector. The latter step significantly increases the practical precision, from that obtainable with an unweighted Monte Carlo of similar duration, in determining the spectra at large distances. It also facilitates interactive work-station studies of spectral distributions over nearby detectors and of near/far spectral differences without any need to repeat the tedious initial Monte Carlo tracking step <em>en toto.</em> The theory of the algorithm is described and illustrative examples relevant to the COSMOS and MINOS neutrino oscillation proposals at Fermilab are presented.
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Rick Milburn
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