Constraints on the Nonstandard Interaction in Propagation from Atmospheric Neutrinos

Figure 5

The allowed region at 2.5CL around the point , where is assumed. Most of the allowed regions are connected, but those around a few points have an isolated island, and they are depicted in different colors: In (a), the blue curves around (, ) = (−2, 2/7) and (0, 2/7) correspond to the degenerate allowed regions for the true values of (−2, 2/7), the green curves around (2, 2/7) and (2, 6/7) are the degenerate allowed regions for the true values of (2, 2/7), and the brown curves around (−3, 6/7) and (−4, 8/7) are the degenerate allowed regions for the true values of (−3, 6/7). In (b), the blue curves around (−2, 2/7) and (0, 2/7) correspond to the degenerate allowed regions for the true values of (−2, 2/7). The allowed regions at for the normal mass hierarchy and at for the inverted mass hierarchy are much wider compared with other cases, so their boundary is shown with dashed lines for (NH and IH) and with dotted lines for (NH) and (IH). Also these boundary and their centers are shown in different colors: purple for , light blue for , brown for , green for , orange for , and grey for .

(a) NH

(b) IH