SLIDE 21 An upper limit on 𝒕𝒋𝒐𝟑(𝟑𝜾𝝂𝝊) at high 𝜠𝒏𝟓𝟐
𝟑 values*
Profile likelihood 𝑴 (𝜺, 𝒕𝒋𝒐𝟑 𝟑𝜾𝝂𝝊 maximazing 𝑴 𝜺, 𝒕𝒋𝒐𝟑 𝟑𝜾𝝂𝝊 , 𝑫𝟑 = 𝝂𝒐
𝒐! 𝒇−𝝂
- n C2 between 0 and 1, 𝑫 = 𝟑 𝑽𝝂𝟒𝑽𝝊𝟒
∗ , 𝒐 number of candidate events (4),
is the expected number of events given by 𝝂 = 𝑶𝒄 + 𝑩𝝔 𝑭 𝑸𝝃𝝂→𝝃𝝊 𝑭 𝝉 𝑭 𝝑 𝑭 𝒆𝑭 Expected number of background (0.23), Normalization factor, neutrino flux,
- scillation probability, CC 𝝃𝝊 cross-section, tau detection efficiency.
𝝍𝟑 = −𝟑𝒎𝒐 (𝑴 (𝜺, 𝒕𝒋𝒐𝟑 𝟑𝜾𝝂𝝊 )/𝑴𝟏) where 𝑴𝟏 =
𝒐𝒐 𝒐! 𝒇−𝒐
Two extreme values (π/2, 3π/2) of
- U. Kose, Nufact2014, 25-30 August 2014, Glasgow, UK
21
*Paper in preparation.
PRELIMINARY
90% CL exclusion limits Profiling over
When ranges between 0 and 2 exclusion limit
𝟑 for 𝒕𝒋𝒐𝟑(𝟑𝜾𝝂𝝊) → 𝟐
from 𝟓. 𝟔 × 𝟐𝟏−𝟒 𝒇𝑾𝟑 to 𝟖. 𝟏 × 𝟐𝟏−𝟒 𝒇𝑾𝟑