μ 微中子在不同CP-Violation相位因子下振盪機率的討論

Abstract

CP-violation相位因子在微中子振盪混和矩陣(Pontecorvo-Maki-Nakagawa-Sakata mixing matrix)中仍然是一個未知的參數 。但是CP-violation相位因子對微中子振盪機率的影響在某一些特定的路徑長度下會趨近於零。這些特殊的路徑長度被稱為magic baseline. 在本篇論文中，我們將用數值方式來計算magic baseline的長度，並與之前的解析解比較。最後，我們會證明在magic baseline下，CP-violation相位因子並不影響我們用neutrino factory決定θ23的卦限(octant)。

CP-violation phase is still an unknown parameter in neutrino oscillation mixing matrix. The effects of CP-violation phase on neutrino oscillation probabilities are minimal at the magic baseline. We calculate the magic baseline numerically and compare the result with that obtained by the analytic calculation. We then show that the CP-violation phase does not affect the determination of θ23 octant by neutrino factories operated at the magic baseline.