Measurement of Neutrino Oscillations with Neutrino Telescopes

<table>Neutrino oscillation probabilities <svg height="19.375" id="M95" style="vertical-align:-5.76984pt" version="1.1" viewbox="0 0 86.5625 19.375" width="86.5625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.017,-0,0,-.017,40.575,12.138)"><path d="M901 255q-71 -62 -185 -187l-22 15l102 147h-727v50h727l-102 147l22 15q114 -125 185 -187z" id="x2192"></path></g><g transform="matrix(.017,-0,0,-.017,64.339,12.138)"><path d="M509 373q0 -52 -42.5 -118.5t-124.5 -159.5l-94 -107h-27q-22 209 -78 342q-21 48 -41 48q-18 0 -63 -62l-22 21q77 111 125 111q30 0 52 -21.5t38 -75.5q37 -130 52 -285q48 62 74.5 99.5t53.5 87t27 76.5q0 43 -17 60q-5 5 -5 15q0 17 12.5 30.5t28.5 13.5
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<g transform="matrix(.012,-0,0,-.012,73.4,16.212)"><path d="M538 96q-38 -45 -84 -76.5t-71 -31.5q-44 0 -15 117q12 49 18 89h-2q-99 -128 -163 -178q-36 -28 -70 -28q-26 0 -44 38h-2q-16 -69 -16 -129q0 -43 11 -75.5t24 -42.5l1 -6q-7 -12 -24.5 -23t-37.5 -11q-40 0 -40 76q0 52 35 202l94 407l78 24l5 -5q-32 -122 -72 -310
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<g transform="matrix(.017,-0,0,-.017,80.625,12.138)"><path d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" id="x29"></path></g>
</svg> as a function of neutrino energy for different zenith angles <svg height="11.6875" id="M96" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 77.237503 11.6875" width="77.237503" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, 0.4, 0.6, and 0.8 which correspond to baselines of 2548; 5097; 7645; 10194 km. Oscillation parameters from a global fit are used. The group of red lines is for NH, blue for IH, and <svg height="17.075001" id="M97" style="vertical-align:-4.18372pt" version="1.1" viewbox="0 0 24.9625 17.075001" width="24.9625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> varied in steps of 30° between 0°  and 330°.</table>

Advances in High Energy Physics

Measurement of Neutrino Oscillations with Neutrino Telescopes

Figure 6