臺灣博碩士論文加值系統

以 Monte-carlo method 探討穿過地球的 tau-neutrino 發生neutrino-nucleon scatterings 所產生的 tau 能量分佈, 解釋tau-neutrino來源能量與tau穿透率之間的關係, 並說明產生的tau 能量分佈對偵測微中子所造成的挑戰.

We present our Monte-carlo simulation results on tau-lepton energy spectrum induced by the Earth-skimming tau neutrinos, taking into account the inelasticity of neutrino-nucleon scatterings and the tau-lepton energy loss in detail. We argue that the tau-lepton flux resulting from neutrino-nucleon scatterings inside the earth is controlled by the tau-lepton range, rather than the distance of tau-leptons/neutrinos traverse inside the Earth. We also comment on the energy-resolution of tau neutrinos in the earth-skimming detection strategy.

1 Introduction.......................................2
2 Monte-carlo method.................................2
2.1 Random variable..................................3
2.2 Cross section and probability....................3
2.3 Mapping from the random number...................4
2.4 Expectation value................................5
2.5 Fraction of energy loss y........................6
2.6 Poisson (decay) process..........................6
2.7 General decay process............................8
2.8 Total energy loss................................9
2.9 Tau-lepton Range.................................11
3 Process for tau-neutrino and tau-lepton............12
3.1 Process for tau-neutrino ........................12
3.2 Process for tau-lepton...........................13
4 Tau-lepton energy loss.............................15
4.1 Deterministic approach...........................15
4.2 Stochastic approach..............................16
4.2.1 Hard-term energy loss..........................17
4.2.2 Soft-term energy loss..........................18
5 Simulation results.................................18
6 Discussion.........................................32
7 Conclusion.........................................47

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